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**Divide Mixed Numbers by Fractions**

Honors Math – Grade 5

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**Problem of the Day Division! Let’s take a closer look…**

Carol has pounds of mixed nuts. How many pound bags can she fill? What are the important facts? What operation does this word problem suggest? Division! Let’s take a closer look…

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**2 1 2 ÷ 1 4 5 1 3 ÷ 3 5 To divide a mixed number by a fraction…**

Rename the mixed number as an improper fraction. Multiply by the reciprocal of the divisor. Cancel; Multiply numerators, denominators; Simplify. 5 1 3 ÷ 3 5 Rename the mixed number as an improper fraction. Multiply by the reciprocal of the divisor. Cancel; Multiply numerators, denominators; Simplify.

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**1 1 2 ÷ 9 10 1 1 4 ÷ 3 8 To divide a mixed number by a fraction…**

Rename the mixed number as an improper fraction. Multiply by the reciprocal of the divisor. Cancel; Multiply numerators, denominators; Simplify. 1 1 4 ÷ 3 8 Rename the mixed number as an improper fraction. Multiply by the reciprocal of the divisor. Cancel; Multiply numerators, denominators; Simplify.

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Divide. 2 1 5 ÷ 3 4 2 1 2 ÷ 5 6 ÷ 5 12 6 7 8 ÷ 5 8

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Divide. 3 1 7 ÷ 2 7 3 1 5 ÷ 4 15 7 1 2 ÷ 5 6 4 4 5 ÷ 4 15

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Divide. 2 1 4 ÷ 9 10 2 8 9 ÷ 2 3

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