1. Warm-up: Find each quotient.
8 ÷ 2/7
20 ÷ 6/7
7/8 ÷ 3/1
2/3 ÷ 4

2. Dividing Mixed Numbers

3. When dividing fractions:
Copy original problem
Change mixed numbers into improper fractions and whole numbers to fractions
Rewrite the first improper fraction (keeping it the same)
Change the division sign to multiplication
Rewrite the reciprocal of the 2nd fraction
(flip)
6. Multiply and Simplify!

5. simplify by factoring out 16
Example 1 6 2 2 ÷ 2 5 7
simplify by factoring out 16 32 16 ÷ 5 7 2 2 32 7
224 4 = = x 5 5 16 80 1 2 14 4 = = 5 5

6. simplify by factoring out 10 and 3
Example 2 1 6 1 ÷ 2 9 3
simplify by factoring out 10 and 3 10 20 ÷ 9 3 1 1 10 3 30 3 1 x = = = 9 20
180 18 6 3 2 3 1 = = 18 6

7. Example 3 8 5 1 ÷
Rename the improper fraction as a mixed number 2 17 5 ÷ 2 1 1 1 7 17 = 17 x = 10 10 2 5
Divide the numerator by the denominator

8. Homework Time