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 |