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Learn how to divide mixed numbers efficiently by converting them to improper fractions, multiplying by the reciprocal, factoring when possible, and simplifying the answer. Practice with step-by-step examples.
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Dividing Mixed Numbers Lesson 5-4
Strategy: • Change mixed numbers into improper fractions. • Instead of dividing, multiply by the reciprocal. • Factor when possible, multiply, and put your answer in simplest form.
Example 1 6 2 2 2 ÷ 5 7 32 16 ÷ 7 5 2 14 32 7 4 2 = = x 5 5 16 1 5
Example 2 1 6 1 2 ÷ 9 3 10 20 ÷ 3 9 1 10 3 1 1 x = 2 20 3 9 6
Example 3 8 5 1 ÷ 13 105 5 ÷ 1 13 1 8 1 = 21 21 105 x = 13 13 13 5 1