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# Changing Mixed Numbers to Improper Fractions Help

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By — McGraw-Hill Professional
Updated on Sep 7, 2011

## Changing Mixed Numbers to Improper Fractions

A mixed number can be changed to an equivalent improper fraction. For example, is equal to .

To change a mixed number to an improper fraction, multiply the whole number by the denominator of the fraction and add the numerator of the fraction to the product. Use this number for the numerator and use the same denominator as the denominator of the improper fraction .

#### Example 1

Change to an improper fraction.

#### Solution 1

Multiply 7 by 3, then add 2 to get 23, which is the numerator of the improper fraction. Use 3 as the denominator of the improper fraction.

#### Example 2

Change to an improper fraction.

#### Solution 2

Math Note: Any whole number can be written as a fraction by placing the whole number over one. For example, , , etc. Likewise, any fraction with a denominator of one can be written as a whole number: , , etc.

### Changing Mixed Numbers to Improper Fractions Practice Problems

#### Practice

Change each of the following mixed numbers to improper fractions:

1.

2.

3.

4.

5.

1.

2.

3.

4.

5.

Practice problems for these concepts can be found at: Fractions Basic Concepts Practice Test.

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