adding and subtracting fractions with different denominators
•Download as PPT, PDF•
2 likes•1,235 views
To add or subtract fractions with different denominators, one must find the least common denominator and convert the fractions so they have the same denominator. The document demonstrates converting 1/2 to 2/4 to add it to 3/4, finding the common denominator of 4. It also shows converting 3/5 to 6/10 to subtract it from 7/10, with the common denominator being 10.
Report
Share
Report
Share
Recommended
adding and subtracting fractions
To add or subtract fractions with different denominators:
1) Find the least common denominator, which is the smallest number that is a multiple of both denominators.
2) Convert the fractions to equivalent fractions with the common denominator.
3) Either add or subtract the numerators, while keeping the common denominator.
adding & subtracting with different denominators
To add or subtract fractions with different denominators, one must find the least common denominator and convert the fractions so they have the same denominator. This allows the fractions to be combined properly. The document demonstrates converting 1/2 to 2/4 to add to 3/4, and converting 3/5 to 6/10 to subtract from 7/10. Finding the common denominator and converting the fractions allows for accurate addition and subtraction of fractions.
Introduction to fractions and concepts
This document provides an overview of fractions, including:
- Defining fractions as ordered pairs of numbers where the denominator tells how many equal pieces the whole is divided into.
- Explaining equivalent fractions and how to reduce fractions to their simplest form.
- Demonstrating how to compare fractions using cross multiplication or finding a common denominator.
- Explaining how to perform addition and subtraction of fractions by finding a common denominator or converting to equivalent fractions with the same denominator.
Fractions
This document provides an overview of fractions including: examples of proper and improper fractions and mixed fractions; equivalent fractions; adding, subtracting, multiplying, and dividing fractions; comparing fractions; and how the numerator and denominator affect the size of a fraction. It explains key fraction concepts and mathematical operations involving fractions through examples.
Add subtract fractions
1) This document discusses adding and subtracting fractions, including: finding equivalent fractions, converting between improper fractions and mixed numbers, finding common denominators, and performing addition and subtraction of fractions.
2) Key steps for adding fractions include finding a common denominator and then adding the numerators. For subtraction, the steps are the same but taking away the second numerator from the first.
3) Mixed numbers must first be converted to improper fractions before adding or subtracting to maintain the same denominator.
Fractions comparing ordering
This document discusses comparing and ordering fractions. It provides examples of using less than, greater than, and equal to symbols to compare fractions with different denominators. It explains that to do this, you need to find the least common denominator and rewrite the fractions with equivalent denominators. The document also gives examples of ordering fractions from least to greatest value by finding a common denominator and comparing the numerators.
Number Theory
The document discusses key concepts in number theory including natural numbers, divisibility, factors and multiples, prime and composite numbers, and divisibility tests. It defines natural numbers as the set of counting numbers {1,2,3,4...} and notes that number theory deals with studying the properties of these numbers, with a focus on divisibility. Divisibility is defined as one number being divisible by another if dividing the first by the second leaves no remainder. Factors are numbers that divide another number, while multiples are numbers that are divisible by another number. Prime numbers have only 1 and themselves as factors, while composite numbers have more than two factors. Divisibility tests provide ways to determine if one number is divisible by
Fractions webinar
This document provides an overview of fractions including:
- The key components of a fraction are the numerator and denominator
- Examples are given of fractions with different numerators over the same denominator
- Methods for simplifying, multiplying, dividing, adding, and subtracting fractions are described
- Mixed numbers, which are numbers represented by a whole number and fraction, are also introduced
- Contact information is provided for math specialists available to answer additional questions
Recommended
adding and subtracting fractions
To add or subtract fractions with different denominators:
1) Find the least common denominator, which is the smallest number that is a multiple of both denominators.
2) Convert the fractions to equivalent fractions with the common denominator.
3) Either add or subtract the numerators, while keeping the common denominator.
adding & subtracting with different denominators
To add or subtract fractions with different denominators, one must find the least common denominator and convert the fractions so they have the same denominator. This allows the fractions to be combined properly. The document demonstrates converting 1/2 to 2/4 to add to 3/4, and converting 3/5 to 6/10 to subtract from 7/10. Finding the common denominator and converting the fractions allows for accurate addition and subtraction of fractions.
Introduction to fractions and concepts
This document provides an overview of fractions, including:
- Defining fractions as ordered pairs of numbers where the denominator tells how many equal pieces the whole is divided into.
- Explaining equivalent fractions and how to reduce fractions to their simplest form.
- Demonstrating how to compare fractions using cross multiplication or finding a common denominator.
- Explaining how to perform addition and subtraction of fractions by finding a common denominator or converting to equivalent fractions with the same denominator.
Fractions
This document provides an overview of fractions including: examples of proper and improper fractions and mixed fractions; equivalent fractions; adding, subtracting, multiplying, and dividing fractions; comparing fractions; and how the numerator and denominator affect the size of a fraction. It explains key fraction concepts and mathematical operations involving fractions through examples.
Add subtract fractions
1) This document discusses adding and subtracting fractions, including: finding equivalent fractions, converting between improper fractions and mixed numbers, finding common denominators, and performing addition and subtraction of fractions.
2) Key steps for adding fractions include finding a common denominator and then adding the numerators. For subtraction, the steps are the same but taking away the second numerator from the first.
3) Mixed numbers must first be converted to improper fractions before adding or subtracting to maintain the same denominator.
Fractions comparing ordering
This document discusses comparing and ordering fractions. It provides examples of using less than, greater than, and equal to symbols to compare fractions with different denominators. It explains that to do this, you need to find the least common denominator and rewrite the fractions with equivalent denominators. The document also gives examples of ordering fractions from least to greatest value by finding a common denominator and comparing the numerators.
Number Theory
The document discusses key concepts in number theory including natural numbers, divisibility, factors and multiples, prime and composite numbers, and divisibility tests. It defines natural numbers as the set of counting numbers {1,2,3,4...} and notes that number theory deals with studying the properties of these numbers, with a focus on divisibility. Divisibility is defined as one number being divisible by another if dividing the first by the second leaves no remainder. Factors are numbers that divide another number, while multiples are numbers that are divisible by another number. Prime numbers have only 1 and themselves as factors, while composite numbers have more than two factors. Divisibility tests provide ways to determine if one number is divisible by
Fractions webinar
This document provides an overview of fractions including:
- The key components of a fraction are the numerator and denominator
- Examples are given of fractions with different numerators over the same denominator
- Methods for simplifying, multiplying, dividing, adding, and subtracting fractions are described
- Mixed numbers, which are numbers represented by a whole number and fraction, are also introduced
- Contact information is provided for math specialists available to answer additional questions
Fractions iv equivalent fractions slides 1 13
This document discusses equivalent fractions, which are fractions that name the same amount but have different numerators and denominators. It provides examples of equivalent fractions models and explains that to find equivalent fractions, one can multiply or divide the numerator and denominator by the same number.
SIM for Mathematics; Addition and Subtraction of Rational Numbers
This document provides guidance and activities for teaching addition and subtraction of rational numbers (fractions). It includes an overview, learning competencies, and 4 activities - identifying similar and dissimilar fractions, adding and subtracting similar fractions, determining the least common denominator, and adding and subtracting dissimilar fractions. Assessment cards and an enrichment problem are also included to check understanding.
Adding And Subtracting Fractions With Different Denominators
This document discusses how to add and subtract fractions with different denominators. It explains that to add or subtract fractions, you first need to find the common denominator by listing all factors of each denominator. Then the fractions are converted to equivalent fractions with the common denominator before adding or subtracting the numerators. Finally, any improper fractions are converted to mixed numbers.
Adding, subtracting, multiplying, and dividing fractions
The document provides instructions for performing the four basic arithmetic operations (addition, subtraction, multiplication, and division) on fractions. For each operation, it explains the key steps, such as finding a common denominator for addition and subtraction, and "flipping and multiplying" for division. Examples are given to illustrate each procedure. The document emphasizes important rules like multiplying corresponding numerator and denominator terms when operating on fractions.
Stage 6 fraction
The document provides instructions and materials for a 6th grade math project on fractions. It includes objectives, materials needed, how to make the project, rubric for grading, and content about fraction meanings, equivalent fractions, comparisons, operations, and exercises. The content is organized into sections covering key fraction concepts.
Even and odd numbers worksheet (grade 4 math)
The document defines even and odd numbers and provides examples. Even numbers have a last digit of 0, 2, 4, 6, or 8, while odd numbers end in 1, 3, 5, 7, or 9. Students are asked to identify whether example numbers like 35, 408, and 514 are even or odd and perform simple math problems like adding 13 to 24 and subtracting 15 from 28 to determine if the answers are even or odd.
Synthetic division
Synthetic division is a method of polynomial long division that is more efficient by omitting variables and exponents. It involves writing the coefficients in order, switching the sign of the divisor, and repeatedly multiplying and adding the coefficients. Any non-zero remainder at the end is added above the original divisor expression.
Divisible rules
Divisibility rules provide ways to quickly determine if a number is divisible by another number without performing long division. The document outlines divisibility rules for several numbers:
- A number is divisible by 2 if the last digit is even. It is divisible by 5 if the last digit is 0 or 5. It is divisible by 10 if the last digit is 0.
- For divisibility by 3, add the digits and check if the sum is divisible by 3. For 6, check if it meets the rules for both 2 and 3. For 9, check the digit sum.
- To check divisibility by 4, see if the last two digits are divisible by 4 without a remainder. For 8,
CLASS V MATHS FRACTIONS
The document discusses fractions and their relationships to wholes. It explains that a whole can be divided into equal or unequal parts. It then defines common fractions as specific portions of a whole, with one half being when a whole is divided into two equal parts, one third being when a whole is divided into three equal parts, and one fourth being when a whole is divided into four equal parts. It encourages practicing dividing shapes into parts and shading the corresponding fractional portions.
Chapter 3 Algebraic Expressions II
This document discusses algebraic expressions and terms. An algebraic term is the product of unknowns and numbers, with the coefficient being the other factors. Like terms have the same unknowns, while unlike terms do not. To multiply algebraic terms, multiply the signs, coefficients, and unknowns. To divide terms, write as a fraction and simplify by cancelling common unknowns in the numerator and denominator. An algebraic expression is a combination of terms using addition and subtraction.
Grade 3 Math
This document provides instructions for adding and subtracting fractions and mixed numbers. It explains that when adding or subtracting fractions with like denominators, you add or subtract the numerators and keep the same denominator. For unlike denominators, you find a common denominator and then add or subtract the numerators. When adding or subtracting mixed numbers with like denominators, you add or subtract the whole numbers and fractions separately, keeping the denominator the same. For mixed numbers with unlike denominators, you add or subtract the whole numbers and fractions separately. Examples are provided to illustrate each of these steps.
Sec. 5.1
Prime numbers are only divisible by 1 and themselves, while composite numbers are divisible by more than two numbers. The first six prime numbers are 2, 3, 5, 7, 11, 13. Prime factorization is writing a composite number as a product of prime factors, using tools like factor trees or ladders. Students will learn how to find factors and write numbers as products of prime factors through examples and reviewing rules for divisibility.
8 1 Exponents
The document discusses exponents and multiplying monomials. It provides examples of exponents like 32 meaning 3 x 3 and explains that 32 does not mean 3 x 2. It also shows how to evaluate exponents, like 63 = (6 x 6) x 6 = 216. The document then explains that when multiplying terms with the same base, you add the exponents, like 32 x 33 = 35. Finally, it defines monomials as expressions involving constants and variables and shows how to multiply them by separating coefficients and variables, like (5t)(20t3) = 100t4.
5.1 updated
Prime numbers are only divisible by 1 and themselves, while composite numbers are divisible by more than two numbers. The first six prime numbers are 2, 3, 5, 7, 11, 13. Prime factorization is writing a composite number as a product of prime factors, using tools like factor trees or ladders. Students will learn how to find factors and write numbers as products of prime factors.
Section 5.1
Prime numbers are only divisible by 1 and themselves, while composite numbers are divisible by more than two numbers. The first six prime numbers are 2, 3, 5, 7, 11, 13. Prime factorization is writing a composite number as a product of prime factors, using tools like factor trees or ladders. Students will learn how to find factors and write numbers as products of prime factors.
Fractions help
This document provides instructions for comparing fractions, including:
1) Fractions with the same denominator can be directly compared by looking at the numerators, as the fraction with the larger numerator is larger.
2) To compare fractions with different denominators, they must be converted to equivalent fractions with a common denominator, which is found by finding the least common multiple of the original denominators.
3) Once fractions have a common denominator, they are comparable by looking at the relative size of their numerators.
Math-Unit 7 Review
This document provides a summary of lessons from a 4th grade everyday math unit on fractions. It covers fraction concepts like numerators, denominators, and mixed numbers. It also discusses fractions of sets, probabilities, equivalent fractions, comparing fractions, and solving fraction word problems using manipulatives like pattern blocks and counters. Students are asked to show work solving sample fraction addition, subtraction, and equivalence questions.
Study Guide For Fractions Test
The document provides a study guide for a math test on fractions. It lists 10 topics to be covered: least common multiple, lowest terms, mixed numbers, improper fractions, equivalent fractions, comparing/ordering fractions, adding/subtracting fractions, multiplying/dividing fractions, adding/subtracting mixed numbers, and multiplying/dividing mixed numbers. For each topic, it provides 1-2 paragraphs explaining key concepts and examples.
Ratio and proportion
This document provides information about ratios and examples of ratio problems. It defines a ratio as the relationship between two quantities of the same kind and in the same unit. Ratios are expressed by dividing the first quantity by the second and have no unit. Examples demonstrate finding which of two ratios is greater, dividing an amount into parts according to a ratio, and solving a word problem involving ratios. The document concludes with a self-test section containing sample ratio problems.
09 19-11 wk 4-1 polygons
The document discusses identifying and describing polygons. Polygons are classified by the number of sides and angles, and prefixes are used to indicate both the number of sides and angles. The lesson includes creating a bubble map linking polygon prefixes like tri-, quad-, and penta- with the number of sides/angles they represent. Students will assess their understanding by naming polygons using prefix cards and showing the meaning with their fingers.
Muilt steps equations
1. The document discusses the four steps to solve multi-step equations: distribute, combine like terms, get the variable on one side, and isolate the variable.
2. It provides an example problem working through each step: 7(x+9) – 10 = 2x + 6.
3. The reflection notes learning key vocabulary, that working with negatives was hardest, and isolating the variable was easiest.
Multi-step Equations
This document provides instructions for solving multi-step equations. It explains that multi-step equations take more than two steps to solve and the goal is to find the value of the variable. It also provides examples of numerical solutions, identity solutions, and no solutions. Example problems are worked through to demonstrate the steps of combining like terms, using inverse operations, and checking the solution.
More Related Content
What's hot
Fractions iv equivalent fractions slides 1 13
This document discusses equivalent fractions, which are fractions that name the same amount but have different numerators and denominators. It provides examples of equivalent fractions models and explains that to find equivalent fractions, one can multiply or divide the numerator and denominator by the same number.
SIM for Mathematics; Addition and Subtraction of Rational Numbers
This document provides guidance and activities for teaching addition and subtraction of rational numbers (fractions). It includes an overview, learning competencies, and 4 activities - identifying similar and dissimilar fractions, adding and subtracting similar fractions, determining the least common denominator, and adding and subtracting dissimilar fractions. Assessment cards and an enrichment problem are also included to check understanding.
Adding And Subtracting Fractions With Different Denominators
This document discusses how to add and subtract fractions with different denominators. It explains that to add or subtract fractions, you first need to find the common denominator by listing all factors of each denominator. Then the fractions are converted to equivalent fractions with the common denominator before adding or subtracting the numerators. Finally, any improper fractions are converted to mixed numbers.
Adding, subtracting, multiplying, and dividing fractions
The document provides instructions for performing the four basic arithmetic operations (addition, subtraction, multiplication, and division) on fractions. For each operation, it explains the key steps, such as finding a common denominator for addition and subtraction, and "flipping and multiplying" for division. Examples are given to illustrate each procedure. The document emphasizes important rules like multiplying corresponding numerator and denominator terms when operating on fractions.
Stage 6 fraction
The document provides instructions and materials for a 6th grade math project on fractions. It includes objectives, materials needed, how to make the project, rubric for grading, and content about fraction meanings, equivalent fractions, comparisons, operations, and exercises. The content is organized into sections covering key fraction concepts.
Even and odd numbers worksheet (grade 4 math)
The document defines even and odd numbers and provides examples. Even numbers have a last digit of 0, 2, 4, 6, or 8, while odd numbers end in 1, 3, 5, 7, or 9. Students are asked to identify whether example numbers like 35, 408, and 514 are even or odd and perform simple math problems like adding 13 to 24 and subtracting 15 from 28 to determine if the answers are even or odd.
Synthetic division
Synthetic division is a method of polynomial long division that is more efficient by omitting variables and exponents. It involves writing the coefficients in order, switching the sign of the divisor, and repeatedly multiplying and adding the coefficients. Any non-zero remainder at the end is added above the original divisor expression.
Divisible rules
Divisibility rules provide ways to quickly determine if a number is divisible by another number without performing long division. The document outlines divisibility rules for several numbers:
- A number is divisible by 2 if the last digit is even. It is divisible by 5 if the last digit is 0 or 5. It is divisible by 10 if the last digit is 0.
- For divisibility by 3, add the digits and check if the sum is divisible by 3. For 6, check if it meets the rules for both 2 and 3. For 9, check the digit sum.
- To check divisibility by 4, see if the last two digits are divisible by 4 without a remainder. For 8,
CLASS V MATHS FRACTIONS
The document discusses fractions and their relationships to wholes. It explains that a whole can be divided into equal or unequal parts. It then defines common fractions as specific portions of a whole, with one half being when a whole is divided into two equal parts, one third being when a whole is divided into three equal parts, and one fourth being when a whole is divided into four equal parts. It encourages practicing dividing shapes into parts and shading the corresponding fractional portions.
Chapter 3 Algebraic Expressions II
This document discusses algebraic expressions and terms. An algebraic term is the product of unknowns and numbers, with the coefficient being the other factors. Like terms have the same unknowns, while unlike terms do not. To multiply algebraic terms, multiply the signs, coefficients, and unknowns. To divide terms, write as a fraction and simplify by cancelling common unknowns in the numerator and denominator. An algebraic expression is a combination of terms using addition and subtraction.
Grade 3 Math
This document provides instructions for adding and subtracting fractions and mixed numbers. It explains that when adding or subtracting fractions with like denominators, you add or subtract the numerators and keep the same denominator. For unlike denominators, you find a common denominator and then add or subtract the numerators. When adding or subtracting mixed numbers with like denominators, you add or subtract the whole numbers and fractions separately, keeping the denominator the same. For mixed numbers with unlike denominators, you add or subtract the whole numbers and fractions separately. Examples are provided to illustrate each of these steps.
Sec. 5.1
Prime numbers are only divisible by 1 and themselves, while composite numbers are divisible by more than two numbers. The first six prime numbers are 2, 3, 5, 7, 11, 13. Prime factorization is writing a composite number as a product of prime factors, using tools like factor trees or ladders. Students will learn how to find factors and write numbers as products of prime factors through examples and reviewing rules for divisibility.
8 1 Exponents
The document discusses exponents and multiplying monomials. It provides examples of exponents like 32 meaning 3 x 3 and explains that 32 does not mean 3 x 2. It also shows how to evaluate exponents, like 63 = (6 x 6) x 6 = 216. The document then explains that when multiplying terms with the same base, you add the exponents, like 32 x 33 = 35. Finally, it defines monomials as expressions involving constants and variables and shows how to multiply them by separating coefficients and variables, like (5t)(20t3) = 100t4.
5.1 updated
Prime numbers are only divisible by 1 and themselves, while composite numbers are divisible by more than two numbers. The first six prime numbers are 2, 3, 5, 7, 11, 13. Prime factorization is writing a composite number as a product of prime factors, using tools like factor trees or ladders. Students will learn how to find factors and write numbers as products of prime factors.
Section 5.1
Prime numbers are only divisible by 1 and themselves, while composite numbers are divisible by more than two numbers. The first six prime numbers are 2, 3, 5, 7, 11, 13. Prime factorization is writing a composite number as a product of prime factors, using tools like factor trees or ladders. Students will learn how to find factors and write numbers as products of prime factors.
Fractions help
This document provides instructions for comparing fractions, including:
1) Fractions with the same denominator can be directly compared by looking at the numerators, as the fraction with the larger numerator is larger.
2) To compare fractions with different denominators, they must be converted to equivalent fractions with a common denominator, which is found by finding the least common multiple of the original denominators.
3) Once fractions have a common denominator, they are comparable by looking at the relative size of their numerators.
Math-Unit 7 Review
This document provides a summary of lessons from a 4th grade everyday math unit on fractions. It covers fraction concepts like numerators, denominators, and mixed numbers. It also discusses fractions of sets, probabilities, equivalent fractions, comparing fractions, and solving fraction word problems using manipulatives like pattern blocks and counters. Students are asked to show work solving sample fraction addition, subtraction, and equivalence questions.
Study Guide For Fractions Test
The document provides a study guide for a math test on fractions. It lists 10 topics to be covered: least common multiple, lowest terms, mixed numbers, improper fractions, equivalent fractions, comparing/ordering fractions, adding/subtracting fractions, multiplying/dividing fractions, adding/subtracting mixed numbers, and multiplying/dividing mixed numbers. For each topic, it provides 1-2 paragraphs explaining key concepts and examples.
Ratio and proportion
This document provides information about ratios and examples of ratio problems. It defines a ratio as the relationship between two quantities of the same kind and in the same unit. Ratios are expressed by dividing the first quantity by the second and have no unit. Examples demonstrate finding which of two ratios is greater, dividing an amount into parts according to a ratio, and solving a word problem involving ratios. The document concludes with a self-test section containing sample ratio problems.
What's hot (19)
SIM for Mathematics; Addition and Subtraction of Rational Numbers
SIM for Mathematics; Addition and Subtraction of Rational Numbers
Adding And Subtracting Fractions With Different Denominators
Adding And Subtracting Fractions With Different Denominators
Adding, subtracting, multiplying, and dividing fractions
Adding, subtracting, multiplying, and dividing fractions
Viewers also liked
09 19-11 wk 4-1 polygons
The document discusses identifying and describing polygons. Polygons are classified by the number of sides and angles, and prefixes are used to indicate both the number of sides and angles. The lesson includes creating a bubble map linking polygon prefixes like tri-, quad-, and penta- with the number of sides/angles they represent. Students will assess their understanding by naming polygons using prefix cards and showing the meaning with their fingers.
Muilt steps equations
1. The document discusses the four steps to solve multi-step equations: distribute, combine like terms, get the variable on one side, and isolate the variable.
2. It provides an example problem working through each step: 7(x+9) – 10 = 2x + 6.
3. The reflection notes learning key vocabulary, that working with negatives was hardest, and isolating the variable was easiest.
Multi-step Equations
This document provides instructions for solving multi-step equations. It explains that multi-step equations take more than two steps to solve and the goal is to find the value of the variable. It also provides examples of numerical solutions, identity solutions, and no solutions. Example problems are worked through to demonstrate the steps of combining like terms, using inverse operations, and checking the solution.
Angle Project
This document discusses different types of angles formed by intersecting lines, including vertical angles which are congruent, angles adding up to 180 degrees when lines intersect, right angles measuring 90 degrees, and complementary angles adding up to 90 degrees. It also defines obtuse angles as greater than 90 degrees and a straight angle measuring 180 degrees.
Adding and subtracting fractions with like denominators 2013 2014
This document provides instructions on adding and subtracting fractions with like denominators. It explains that to add fractions with a common denominator, one should bring the denominator over and add the numerators. Examples and step-by-step instructions are given. Students are provided practice problems applying the concepts and given a real-world problem about calculating the perimeter of a blanket to solve.
Adding and Subtracting Fractions with Like Denominators
The document discusses adding and subtracting fractions with like denominators. It explains that fractions have like denominators if they have the same number on the bottom. To add fractions with like denominators, you add the top numbers and keep the bottom number the same. To subtract fractions with like denominators, you follow the same steps as addition but subtract the top numbers instead of adding them. Examples are provided to demonstrate both addition and subtraction of fractions with like denominators.
Fractions and decimals made easy
This document provides an introduction to and overview of a book about fractions and decimals. It discusses how fractions and decimals are used in everyday life. The book aims to teach fractions and decimals in an easy, step-by-step manner for students to learn or review these math concepts on their own or with help. It covers topics like proper and improper fractions, comparing and estimating fractions, equivalent fractions, adding and subtracting fractions, decimals, and more.
Viewers also liked (7)
Adding and subtracting fractions with like denominators 2013 2014
Adding and subtracting fractions with like denominators 2013 2014
Adding and Subtracting Fractions with Like Denominators
Adding and Subtracting Fractions with Like Denominators
Similar to adding and subtracting fractions with different denominators
Power Point For Fractions
To add or subtract fractions with different denominators, the denominators must be made common. For 3/4 + 1/2, 1/2 is changed to 2/4 by multiplying the numerator and denominator by 2 to get a common denominator of 4. The sum is 5/4 or 1 1/4 as a mixed number. For 7/10 - 3/5, 3/5 is changed to 6/10 by multiplying the numerator and denominator by 2 to get a common denominator of 10. The difference is 1/10.
Power Point For Fractions
To add or subtract fractions with different denominators, the denominators must be made common. For 3/4 + 1/2, the denominator of 1/2 is multiplied by 2 to make the common denominator 4. The sum is 5/4 or 1 1/4. For 7/10 - 3/5, the denominator of 3/5 is multiplied by 2 to make the common denominator 10. The difference is 1/10.
calvin killer powerpoint
To add or subtract fractions with different denominators, the denominators must be made common. For 3/4 + 1/2, the denominator of 1/2 is multiplied by 2 to make the common denominator 4. The sum is 5/4 or 1 1/4. For 7/10 - 3/5, the denominator of 3/5 is multiplied by 2 to make the common denominator 10. The difference is 1/10.
Adding and Subtracting fractions
To add or subtract fractions with different denominators, one must first find a common denominator that both denominators evenly divide into. Then, each fraction's numerator and denominator are multiplied by the same number to convert it to equivalent fractions with the common denominator, allowing the fractions to be added or subtracted. For subtraction, the process is the same as addition except the second fraction's numerator is subtracted rather than added.
A detailed lesson plan
The document provides a detailed lesson plan for a grade 4 mathematics class on adding and subtracting fractions. The lesson plan outlines objectives, subject matter, procedures used, and examples worked through step-by-step with the class. The key topics covered are: adding and subtracting fractions with similar and dissimilar denominators, as well as adding and subtracting mixed numbers with similar and dissimilar denominators. The teacher leads the class through examples of each process.
Compare Fractions
To compare fractions, one must first determine if they have common denominators or unlike denominators. Fractions with common denominators can be directly compared by their numerators, while fractions with unlike denominators require finding a common denominator or least common denominator to make them comparable. There are various methods like renaming fractions, using pictures, or visualizing fractions to efficiently compare them.
Understanding fractions
This document is a PowerPoint presentation about fractions for 8th grade students. It contains definitions of key fraction terms like numerator, denominator, improper fractions, and mixed numbers. It explains how to add, subtract, multiply, and divide fractions, including using common denominators for addition and subtraction of unlike fractions. It also discusses equivalent fractions and how to determine if two fractions are equivalent using scale factors or cross-multiplication. The learning objectives are for students to understand fraction operations and how to find equivalent fractions.
Fractions
The document discusses fractions and how to add fractions. It defines a fraction as a number that represents a part of a whole. It explains that the number on the top of a fraction is called the numerator and represents the part, while the number on the bottom called the denominator represents the whole. When adding fractions with a common denominator, you simply add the numerators. But when denominators are different, you must find the lowest common multiple to convert the fractions to equivalent fractions with a common denominator before adding.
Fractions
The document describes how to perform fraction operations including: dividing fractions by inverting the second fraction and multiplying the numerators and denominators; dividing fractions by whole numbers by treating the whole number as a fraction over 1; and provides examples of dividing fractions.
ADDING FRACTIONS.ppt
This document provides instructions for adding fractions. It explains that when adding fractions with the same denominator, one keeps the common denominator and adds the numerators. When adding fractions with different denominators, one must find the least common multiple of the denominators to determine the common denominator, then change the original fractions by multiplying the numerators and denominators by the same amount to obtain equivalent fractions with the common denominator, which can then be added by adding the numerators and keeping the common denominator. Several examples are provided to demonstrate these techniques.
Fraction operations
This document contains instructions for performing basic arithmetic operations with fractions such as addition, subtraction, multiplication, and division. It provides examples of how to add, subtract, multiply, and divide fractions with the same or different denominators by finding common denominators or multiplying/dividing numerators and denominators. The key steps involved are finding common denominators, adding/subtracting numerators, and multiplying/dividing numerators and denominators.
Fraction operations
The document explains different fraction operations including addition, subtraction, multiplication, and division of fractions. It provides examples of how to perform each operation, such as adding fractions with the same or different denominators, multiplying fractions by multiplying the numerators and denominators, and dividing fractions by flipping the second fraction and multiplying in the same way. The key steps and rules for each operation are demonstrated through examples.
Parts and wholes notes new book 1
DOWNLOAD AND SUSCRIBE TO MY YOUTUBE CHANNEL
https://www.youtube.com/channel/UCtooWKi-qUFj5TcQcoEIWxQ
4th grade mathematics: fractions
This document provides an overview of fractions for 4th grade mathematics. It defines fractions as parts of objects and introduces equivalent fractions. It explores the relationship between fractions with different denominators, improper fractions and mixed numbers. Students learn how to order fractions from smallest to largest and review key fraction concepts covered.
3rd grade fractions
The document discusses key concepts about fractions and decimals, including:
1) Fractions represent parts of a whole, parts of a collection, or locations on a number line.
2) To add, subtract, or compare fractions, they must first be converted to equivalent fractions with a common denominator.
3) Decimals are a way of writing fractions with denominators that are powers of 10, such as tenths, hundredths, thousandths. Any fraction can be written as a decimal.
Dividing a whole number by a fraction
1) To divide a whole number by a fraction, convert the whole number to a fraction by placing it over 1. Then take the reciprocal of the dividing fraction by flipping its numerator and denominator.
2) Multiply the two fractions to get the quotient. Simplify if needed.
3) You can also draw the whole number as shapes and divide each shape according to the denominator of the dividing fraction. Shade groups of the fraction and count remaining pieces.
Math Week 2 Lesson 2
This document provides instructions for subtracting fractions. It explains that to subtract fractions, you cross out the value of the numerator from the shaded parts. It provides examples of subtracting fractions with the same and different denominators. It also covers subtracting mixed numbers by first converting them to improper fractions, crossing out the numerators, and then converting back if needed.
Fractions by si
The document provides instructions on how to perform operations with fractions such as finding equivalent fractions, ordering fractions, writing mixed numbers as improper fractions and vice versa, calculating fractions of amounts, adding, subtracting, multiplying, and dividing fractions. It includes examples of each type of fraction operation and encourages readers to try problems on their own.
Operations fractions
This document provides instructions for performing basic operations with fractions, including adding, subtracting, multiplying, and dividing fractions. It explains the steps for each operation: (1) For addition and subtraction, convert fractions to a common denominator before adding or subtracting the numerators; (2) For multiplication, multiply the numerators and denominators separately; (3) For division, invert the second fraction and multiply. Worked examples are provided to illustrate each type of fraction operation.
Adding and subtracting fractions
This document provides instructions for adding and subtracting fractions. It begins by defining key fraction terms like numerator, denominator, and different fraction types. It then explains how to add and subtract similar fractions by keeping the same denominator and combining numerators. The document also demonstrates how to change dissimilar fractions into similar fractions by finding a common denominator. Finally, it shows how to add and subtract mixed numbers and dissimilar fractions by first changing them into similar fractions if needed. Exercises with worked out solutions are provided for students to practice adding, subtracting, and simplifying fractions.
Similar to adding and subtracting fractions with different denominators (20)
adding and subtracting fractions with different denominators
- 1. Adding & Subtracting Fractions with Different Denominations By MRA
- 2. 3/4 + 1/2 These diagrams represent 3/4 + 1/2. The denominators on these fractions are different, so I have to find the common denominator. I find the least common denominator by listing all the multiples of 2 and 4 until I find a number that they both go into.
- 3. 3/4 + 2/4 The common denominator was 4. So I multiplied the denominator and the numerator of 1/2 by 2 and got 2/4. Now it is 3/4 + 2/4 which equals 5/4. I didn’t have to change 2/4 because the denominator was already 4.
- 4. 7/10 – 3/5 These diagrams represent 7/10 – 3/5. The denominator in these fractions are different, so I have to find the common denominator.
- 5. 7/10 – 6/10 The common denominator is 10. So I multiplied the denominator and numerator of 3/5 by 2 and got 6/10. I didn’t have to change the fraction 7/10 because the denominator was already 10. The answer is 1/10.