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Published bySharlene Henry Modified over 6 years ago

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**Converting Mixed Numbers and Improper Fractions PowerPoint**

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**What is an improper fraction?**

An improper fraction is a fraction where the numerator is larger than the denominator. Example: 78 3

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**A mixed number is a whole number and a fraction. Example: 7**

What is a mixed number? A mixed number is a whole number and a fraction. Example: 7 1 2

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**Mixed Numbers vs. Improper Fractions**

When you convert or change an improper fraction to a mixed number or a mixed number to an improper fraction, the values of each are still the same. Look at how this improper fraction and mixed number represent the same amount. 3 7 2 means we have seven ½ pieces 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 means we have 3 wholes and another ½. 1 2 1 2 1 1 1

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**Converting Mixed Numbers to Improper Fractions**

Multiply the denominator of the fraction by the whole number. Add the numerator to the product. Put that sum over the original denominator.

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**Converting Mixed Numbers to Improper Fractions**

Example 7 Step 1: 2 x 7 = 14 Step 2: = 15 Step 3: 1 2 + x 15 2

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Practice Convert the following mixed numbers to Improper fractions 2 7 4 9 1 3 3 8 2 5 6 7

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**Converting Improper Fractions to Mixed Numbers**

Divide the numerator by the denominator. The quotient is your whole number. Put the remainder over the original denominator to get your fraction.

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**Converting Improper Fractions to Mixed Numbers**

Example 7 R 15 2 1 2

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**Practice Convert the following improper fractions to mixed numbers. 19**

3 44 6 76 5 39 8 97 4 64 6

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