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# Mixed Numbers and Improper Fractions Help

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## Introduction to Mixed Numbers and Improper Fractions

### Improper Fractions

An improper fraction is a fraction whose numerator is larger than its denominator. For example, is an improper fraction.

### Mixed Numbers

A mixed number consists of the sum of a whole number and a fraction. For example (which is really ) is a mixed number. We will practice going back and forth between the two forms.

### Converting Mixed Numbers to Improper Fractions

To convert a mixed number into an improper fraction, first multiply the whole number by the fraction’s denominator. Next add this to the numerator. The sum is the new numerator.

#### Examples

Find practice problems and solutions at Mixed Numbers and Improper Fractions Practice Problems - Set 1.

## Converting Mixed Fractions to Improper Fractions Using Division

There is a close relationship between improper fractions and division of whole numbers. First let us review the parts of a division problem.

In an improper fraction, the numerator is the dividend and the divisor is the denominator. In a mixed number, the quotient is the whole number, the remainder is the new numerator, and the divisor is the denominator.

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The remainder will be the new numerator and the quotient will be the whole number.

#### Examples

Find practice problems and solutions at Mixed Numbers and Improper Fractions Practice Problems - Set 2.

More practice problems for this concept can be found at: Algebra Fractions Practice Test.

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