Mixed Fraction is also known as Mixed Number
A Mixed Fraction is a whole number and a proper fraction combined.
Examples

Each example is made up of a whole number and a proper fraction together. That is why it is called a mixed fraction or mixed number.
Table of Contents
3 Types of Fractions
There are 3 types of fraction:
Fraction type | Condition | Example |
Proper Fraction | Top Number < Bottom Number | ![]() |
Improper Fraction | Top Number > Bottom Number | ![]() |
Mix Fraction | a whole number + a proper fraction | ![]() |
Converting Mixed Fractions to Improper Fractions
These are some steps to convert a mixed fraction to an improper fraction:
- Multiply the whole number part by the bottom number of fraction part.
- Add that to the top number of fraction part.
- Then write the result as top number of the fraction.
Examples
Mix Fraction | Step 1 | Step 2 | Improper Fraction |
![]() | 5 × 1 = 5 | 5 + 4 = 9 | ![]() |
![]() | 6 × 2 = 12 | 12 + 5 = 17 | ![]() |
![]() | 7 × 3 = 21 | 21 + 6 = 27 | ![]() |
Converting Improper Fractions to Mixed Fractions
These are some steps to convert an improper fraction to a mixed fraction:
- Divide the top number by the bottom number.
- Write down whole number answer
- Write down any remainder (R) above the bottom number of fraction.
Examples
Improper Fraction | Step 1 | Step 2 | Step 3 | Mix Fraction |
![]() | 27 ÷ 7 = 3 R 6 | 3 | ![]() | ![]() |
![]() | 17 ÷ 6 = 2 R 5 | 2 | ![]() | ![]() |
![]() | 9 ÷ 5 = 1 R 4 | 1 | ![]() | ![]() |