## Improper Fractions

Table of Contents

## Definitions

There are 3 types of fractions

Fraction type | Condition | Examples |

Proper Fraction | Numerator < Denominator | |

Improper Fraction | Numerator > Denominator | |

Mix Fraction | A whole number + proper fraction |

So, An Improper Fraction is a fraction that has a top number larger than (or equal to) the bottom number.

## Converting Improper Fractions to Mixed Fractions

How to convert an improper fraction to a mixed fraction ?

- Divide the numerator by the denominator.
- Write down whole number answer
- Write down any remainder (R) above the denominator.

### Examples

Improper Fraction | Step 1 | Step 2 | Step 3 | Mix Fraction |

4 ÷ 3 = 1 R 1 | 1 | |||

11 ÷ 4 = 2 R 3 | 2 | |||

19 ÷ 5 = 3 R 4 | 3 |

## Converting Mixed Fractions to Improper Fractions

How to convert a mixed fraction to an improper fraction ?

- Multiply the whole number part by the denominator of fraction part.
- Add that to the numerator of fraction part.
- Then write the result on top of the denominator.

### Examples

Mix Fraction | Step 1 | Step 2 | Improper Fraction |

5 × 3 = 15 | 15 + 4 = 19 | ||

2 × 4 = 8 | 8 + 3 = 11 | ||

3 × 1 = 3 | 3 + 1 = 4 |