Mult. fract1
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This document provides instructions for multiplying fractions: 1) Multiply the numerators and denominators separately, writing the answers as the new numerator and denominator. 2) Simplify the resulting fraction by dividing the numerator and denominator by their greatest common factor. 3) To multiply a fraction by a whole number, write the whole number as a fraction with 1 as the denominator before multiplying. 4) Look for common factors between the fractions before multiplying to simplify the problem.
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The document discusses divisibility rules and algorithms for integers. It provides divisibility rules for integers 2 through 20, describing how to determine if a number is divisible by each factor. For example, a number is divisible by 2 if the last digit is even. It also describes algorithms for determining the greatest common divisor of two numbers, such as the Euclidean algorithm which uses successive division. The Goldschmidt division algorithm iteratively multiplies factors to converge the divisor to 1. Diophantine equations allow only integer solutions.
Chapter3.8
This document provides examples for solving two-step linear equations and inequalities. It begins with examples of solving two-step inequalities by using the reverse order of operations to isolate the variable. It then discusses multiplying or dividing both sides of an inequality by a negative number. Additional examples include solving inequalities containing fractions and a word problem about a school club selling bumper stickers.
Math for 800 04 integers, fractions and percents
This document provides information about integers, even and odd numbers, consecutive numbers, prime numbers, factors and divisors, fractions, and operations with fractions such as addition and subtraction. It defines key terms and provides examples. Sections include integers and their values, properties of even and odd numbers, consecutive integers, prime numbers and tests for divisibility. Later sections cover factors and divisors, prime factorization, greatest common factor (GCF), least common multiple (LCM), remainders, and equivalent fractions.
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.
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Mult. fract1
- 1. Multiplying With Fractions Lesson 5-1
- 3. Example 1 5 8 x 3 4 = 15 32 There are no common factors for 15 and 32, so this fraction cannot be simplified.
- 4. Example 2 3 4 x 2 9 = 6 36 This fraction can be reduced. Divide the numerator and denominator by the GCF, which is 6. = 1 6
- 5. Multiplying by a Whole Number If you want to multiply a fraction by a whole number, turn your whole number into a fraction by placing a 1 as the denominator. If your answer is improper, divide the bottom into the top. 4 5 x 20 1 = 80 5 = 16
- 6. Another Example 15 x 1 6 1 = 15 6 15 and 6 have a GCF of 3. = 5 2 Five halves is improper, so we divide the bottom into the top. 2 5 2 4 1 2 1 2
- 8. Example 1 5 7 x 8 16 In the second fraction, 8 and 16 have a GCF of 8. 8 ÷ 8 = 1 and 16 ÷ 8 = 2 1 2 Now, multiply with the simpler numbers. 5 x 1 = 5 and 7 x 2 = 14. 5 14
- 9. Example 2 2 3 x 5 12 The top of the first fraction and the bottom of the second fraction have a common factor. The GCF of 2 and 12 is 2. 2 ÷ 2 = 1, and 12 ÷ 2 = 6. 1 6 Now, multiply: 5 18
- 10. Homework Time!