2.
Definition: – Equivalent fractions are fractions having the same values. – It can be obtained by multiplying both the numerator and the denominator of the given fraction by the same non-zero whole number.Example :
3.
Determining equivalent fractions– To determine whether two fractions are equivalent, convert each fraction into fractions with a common (same) denominator. Then, compare the numerators.Example :
4.
Comparing two fractions – If two fractions have the same denominators, their values can be compared by comparing their numerators or by using a number line.Example :
5.
– If two fractions have different denominators, convert both fractions into their respective equivalent fractions with the common denominator.Example :
6.
Arranging fractions in order– To arrange fractions in order, convert the given fractions into equivalent fractions with the common denominator and then compare the numerators.
8.
Lowest terms – To simplify a fraction to its lowest terms, divide the numerator and the denominator of the fraction by their HCF.Example :
9.
Mixed NumbersDefinition:– A mixed number is a number consisting of a whole number and a fractionExample :
10.
Comparing and arranging mixed numbers– Like fractions, mixed numbers can be arranged and compared on a number line. Any number on the number line is greater than numbers to its left.Example :
12.
• Definition: – A proper fraction is a fraction whose numerator is less than the denominator• example:
13.
• Definition – An improper fraction is a fraction whose numerator is equal to or greater than the denominator• example:
14.
• Changing mixed numbers into improper fractions – To change a mixed number into an improper fraction, multiply the whole number by the denominator and then add the numerator to it. The denominator remains the same.
16.
• Changing improper fractions into mixed numbers – To change an improper fraction into a mixed number, divide the numerator by the denominator. The quotient obtained is the whole number part and the remainder is the numerator of the fractional part.
20.
• Definition: – Addition of fractions is a process of finding the sum of two or more fractions• Adding two fractions with the same denominator – To add two fractions with the same denominator, keep the denominator and add the numerators.
23.
• Adding two fractions with different denominators – To add two fractions with different denominators, convert both the fractions into their respective equivalent fractions with the same denominators.• example:
24.
• Adding whole numbers and fractions – A mixed number is produced when adding a whole number and a fraction.• example:
25.
• Adding fractions and mixed numbers – To add a fraction and a mixed number, keep the whole number part and add the fractional parts like adding two fractions.• example:
26.
• Adding two mixed numbers – Convert mixed numbers into improper fractions. Then perform the addition like adding two fractions.• example:
27.
• Adding three fractions – Convert the fractions so that they have a common denominator before performing the addition.• example:
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