 # Example 3 Dividing Mixed Numbers ÷ 3 1 6 2 6 5 – 3 19 = 17 6 – Multiply by the reciprocal of 17 6 – 6 – = 3 () 6 – 19 Use rule for multiplying fractions.

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Example 3 Dividing Mixed Numbers ÷ 3 1 6 2 6 5 – 3 19 = 17 6 – Multiply by the reciprocal of 17 6 – 6 – = 3 () 6 – 19 Use rule for multiplying fractions. = 173131 () 2626 – 19 – Divide out common factor. 3 19 =÷ 6 17 – Write and as improper fractions. 6 5 2 3 1 6 –

Example 3 Dividing Mixed Numbers SOLUTION Multiply. = 17 4 2– 38 –, or

Example 4 Simplify an Expression with Fractions 7 2 5 1 3 2 9 4 5 1 7 2 = Evaluate power. 45 4 7 2 = Multiply the fractions in the numerator. 2

Example 4 Simplify an Expression with Fractions Multiply. 45 14 = Rewrite as a product. Divide out common factor. 45 2424 2121 7 =

Guided Practice Find the quotient. Simplify if possible. for Examples 3 and 4 7 4 1 7 11 or ANSWER 6. 4÷ 6 7 2 – 7÷ 4 1 12 7. ÷ 10 3 1 3 8. – ÷ 4 3 15 8 5 2 9. ANSWER 3 6– – 4 3 1 4 7 or –

Guided Practice for Examples 3 and 4 10. Simplify the expression. 6 5 5 3 4 1 ANSWER 50 9

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