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Mixed Fractions (Mathematics Glossary)

What Is a Mixed Fraction?

A mixed fraction is a type of fraction.

A mixed fraction 'mixes' a whole number with a proper fraction.

Dictionary Definition

The Oxford English Dictionary defines a proper fraction as "a number consisting of an integer and a proper fraction; a mixed number."

Examples of Mixed Fractions

Here are some examples of mixed fractions:

Visualizing Improper Fractions

A useful way of visualizing fractions is to picture it as a cake being cut into equal parts.

For mixed fractions, there is at least one whole cake, with some slices left over to make part of another whole cake:

Converting Mixed Fractions to Improper Fractions

Mixed fractions can be converted to improper fractions.

Read more about converting mixed fractions to improper fractions

Interactive Test

Here's a second test on mixed fractions.
Here's a third test on mixed fractions.
Here's a dynamic test on mixed fractions.

What Is a Fraction?

A fraction is a part of a whole number.

Fractions consist of a numerator and a denominator.

There are three different types of fractions:

The Size of Mixed Fractions

An mixed fraction is always greater than 1.

It has at least one whole number (1) and then a fraction more.