## Types of Fractions

#### 1. What are the different types of fractions?

There are 3 different types of fractions:

- Proper fractions
- Improper fractions
- Mixed numbers or mixed fractions

#### 2. What are Proper Fractions?

In a proper fraction, the numerator (top number) is smaller than the denominator (bottom number).

,

,

, etc.

*Examples:*3 |

4 |

4 |

5 |

12 |

17 |

#### 3. What are Improper Fractions?

In an improper fraction, the numerator (top number) is bigger than or equal to the denominator (bottom number).

,

,

,

, etc.

*Examples:*4 |

3 |

6 |

5 |

10 |

7 |

4 |

4 |

#### 4. What are Mixed Numbers or Mixed Fractions?

A mixed number is made up of two parts - a whole number and a proper fraction.

,

,

,

, etc.

*Examples:*5 | 2 |

3 |

1 | 1 |

4 |

3 | 5 |

12 |

2 | 1 |

2 |

#### Notes:

- Improper fractions can be converted to mixed numbers and mixed numbers can be converted back to improper fractions. Improper fractions and mixed numbers are 2 different ways to represent the same number.
- Improper fractions are useful when writing mathematical formulae. Compared to a mixed number, it's easier to write, use and operate upon a number written as an improper fraction and not be confused.
- Mixed numbers have their utility when talking about quantities in day-to-day life. For example, you say,

*"I need*instead of2 1 2

*"I need*5 2

Although they both mean the same amount of sugar,2 1 2 5 2