## Improper Fractions and Mixed Numbers

#### What is an improper fraction?

An

**improper fraction**is a fraction in which the numerator is bigger than or equal to the denominator.#### What is a mixed number?

A

**mixed number**is made up of two parts - a whole number and a proper fraction.#### 1. The video below explains what improper fractions and mixed numbers are.

Improper fractions and mixed numbers are 2 different ways to represent the

**same number**.

Therefore, improper fractions can be converted to mixed numbers and mixed numbers can be converted back to improper fractions.

To write an improper fraction, you count the pizza slices.

To write a mixed number, you count the whole pizzas.

To write a mixed number, you count the whole pizzas.

**Denominator**means how many slices to cut each pizza into.

**Numerator**means how many slices you get.

#### 2. Convert

11 |

4 |

Let's represent the improper fraction

using pizza slices.

The denominator 4 means that each pizza should be cut into 4 slices.

The numerator 11 means that your share of the pizza is 11 slices.

To convert an improper fraction to a mixed number, divide the numerator by the denominator (11 divided by 4).

= 11 ÷

=

=

11 |

4 |

The denominator 4 means that each pizza should be cut into 4 slices.

The numerator 11 means that your share of the pizza is 11 slices.

To convert an improper fraction to a mixed number, divide the numerator by the denominator (11 divided by 4).

11 |

4 |

= 11 ÷

**4**=

**2**R**3**(**2**whole pizzas and**3**slices out of**4**of another pizza)=

2 | 3 |

4 |

#### 3. Convert

2 | 3 |

4 |

Let's represent the mixed fraction

using pizza slices.

The whole number part 2 means there are 2 whole pizzas.

The fractional part

means there are 3 slices out of 4 of another pizza.

2 | 3 |

4 |

The whole number part 2 means there are 2 whole pizzas.

The fractional part

3 |

4 |

Converting a mixed number to an improper fraction means you are given whole pizzas and you have to find out how many pizza slices they will make.

To convert a mixed number to an improper fraction, first, multiply the whole number part by the denominator of the fractional part, then add the numerator to the product.

= 2 +

=

=

=

2 | 3 |

4 |

= 2 +

3 |

4 |

=

(2 x 4) + 3 |

4 |

=

8 + 3 |

4 |

=

11 |

4 |

If each pizza has got 4 slices then 2 whole pizzas will have 2 × 4 slices or 8 slices.