Example 1 Dividing a Fraction by a Fraction ÷ 6 5 21 10 a. = 10 21 • 6 5 = 10 2 • 6 7 21 1 5 4 7 = 3 1 , or

Example 1 Dividing a Fraction by a Fraction 9 2 – = • 14 9 7 2 – b. ÷ 14 7 = • 1 7 9 14 2 ( ) – = 4 1 2 , or – 9 –

Example 2 Dividing a Fraction by an Integer TRAIL MIX You are making 5 bag lunches. You have pound of trail mix to divide equally. How much mix should you put in each lunch? 3 4 SOLUTION ÷ 4 3 5 = • 1 so the reciprocal of 5 is . 1, 5 • 4 1 3 Use rule for multiplying fractions. =

You should put pound of trail mix in each lunch. 20 3 Example 2 Dividing a Fraction by an Integer = 20 3 Multiply. ANSWER You should put pound of trail mix in each lunch. 20 3

Find the quotient. Simplify if possible. Guided Practice for Examples 1 and 2 Find the quotient. Simplify if possible. 8 5 ÷ 10 7 – 1. ANSWER 28 25 – 8 ÷ 15 2 2. ANSWER 60 1 12 7 – ÷ 3 4 3. ANSWER 7 2 1 9 or 2 ÷ 7 6 4. ANSWER 7 3

Guided Practice for Examples 1 and 2 5. WHAT IF? In Example 2, suppose you are making 6 bag lunches. How much mix should you put in each lunch? ANSWER 8 1 lb