Mixed Numbers

A mixed number is a number expressed as the sum of a whole number and a fractions, such as

It is usually easier to do calculations with improper fractions than mixed numbers, but mixed numbers give a better idea of the size of a number. So you should know how to convert back and forth.

Example:

Write the mixed number as an improper fraction.

First, write the mixed number as a sum of a whole number and a proper fraction. Then write the two parts with common denominator, and add.

Example:

Write the improper fraction as a mixed number.

Divide the denominator into the numerator, and rewrite the fraction as a sum of the whole part plus the remainder.