* Proper Fractions are fractions which have an absolute value of less than one.*

, , and are all proper fractions. In a proper fraction, the numerator is less than the denominator.

*Improper fractions* are fractions that have a value of 1 or greater, or -1 or less.

, , and are all examples of improper fractions.

Mixed numbers contain a combination of an integer and a proper fraction.

, , and are all examples of mixed numbers.

Every mixed number can be written as an improper fraction.

All improper fractions may be written either as an integer or as a mixed number.

*To convert a mixed number to an improper fraction*, you should:

- Multiply the whole number by the denominator,
- Add the product to the numerator, and
- Place the sum over the denominator.

Of course, you should always make sure that your fraction is reduced.

*To convert an improper fraction to a mixed number*, you should:

- Divide the numerator by the denominator,
- The quotient gives you the whole number part of your answer.
- Place the remainder over the denominator.

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