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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