1. Multiplying Fractions and Mixed Numbers

2. 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:

3. 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

4. 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

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

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

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

8. Dividing Fractions and Mixed Numbers

9. 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.

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

11. 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

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