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Dividing Fractions

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**When dividing fractions, rewrite the problem as a multiplication.**

Multiply the first fraction by the reciprocal of the second fraction. A reciprocal is also called a multiplicative inverse. A number times its reciprocal equals 1.

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**Example #1: Multiply by the reciprocal. Cancel. Multiply across,**

2 Cancel. Multiply across, then simplify.

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**Example #2: A whole number can be written as a fraction over 1.**

Multiply by the reciprocal. 1 Cancel. Multiply across.

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**Example #3: Change mixed numbers to improper fractions.**

Multiply the numerator by the reciprocal of the denominator. 1 1 2 Cancel. Multiply across, then simplify.

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**Example #4: Remember, the fraction bar means divide.**

Remember, the fraction bar means divide. 3 Multiply the numerator by the reciprocal of the denominator. 2 Cancel. Multiply across.

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**Example #5: Change mixed numbers to improper fractions.**

7 Multiply the numerator by the reciprocal of the denominator. 2 Cancel. Multiply across, then simplify.

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**Each box of Yummy Crunchers contains 6 ½ bowls of cereal.**

Example #6: A box of Yummy Crunchers cereal contains 15 ⅗ ounces of cereal. If a bowl holds 2 ⅖ ounces of cereal, how many bowls of Yummy Crunchers are in the box? Each box of Yummy Crunchers contains 6 ½ bowls of cereal.

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