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

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

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

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 2nd 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