Multiplying Fractions and Mixed Numbers Multiplying Fractions When

Multiplying Fractions and Mixed Numbers

Multiplying Fractions • When multiplying fractions, they do NOT need to have a common denominator. • To multiply two (or more) fractions, multiply across, numerator by numerator and denominator by denominator. • If the answer can be simplified, then simplify it. • Example:

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 numerator by denominator. 4 20 80 16 x = = 5 5 1

Another Example 15 x 1 5 15 = = 1 6 6 2 Divide 15 and 6 by a common factor of 3 to reduce 2 25 4 1 Five halves is improper, so we divide numerator by denominator. 2 1 2

Mixed Numbers • To multiply mixed numbers, convert them to improper fractions first. 85 20 = 85 ÷ 20 = 4 5/20 = 4 1/4

Try These: Multiply the following fractions and mixed numbers: 6) 5 × ¾

Your Turn 1 8 x 6 x 1 9 = = x 12 1 1 3 3 3 x 6 4 = 5 6 7 =

Dividing Fractions and Mixed Numbers

Dividing Fractions • When dividing fractions, they do NOT need to have a common denominator. • To divide two fractions, change the operation to multiply and take the reciprocal of the second fraction (flip the second fraction). Keep-Change-Flip (KCF). Change Operation. Flip 2 nd Fraction.

Dividing Fractions • Finish the problem by following the rules for multiplying fractions.

To divide fractions by whole and mixed numbers • Change whole numbers to improper fractions by using a denominator of 1 • Change mixed numbers to improper fractions by using (tx) method • Convert the problem using Keep, Change, Flip • Multiply and simplify, if needed

Try These: Divide • Divide the following fractions & mixed numbers: 4) 5 ÷ 4/5