# Dividing fractions by whole numbers

## In a nutshell

Dividing fractions by whole numbers is a case of either multiplying the denominator of the fraction by the whole number, or dividing the numerator of the fraction by the whole number - whichever is easier! Always try to simplify at the end.

## Fractions reminder

Remember that a fraction represents one number divided by another number, specifically, the numerator divided by the denominator. So

$\dfrac49 = 4 \div 9$

There are two different methods you can use to divide a fraction by a whole number.

### Multiply the denominator

#### Procedure

1. | Leave the numerator as it is. |

2. | Multiply the denominator by the whole number you are dividing by. |

3. | Simplify the fraction if necessary. |

##### Example 1

*Solve the following question:*

$\dfrac49\div2$

*Leave the numerator as it is, and multiply the denominator by *$2$.

$\dfrac49\div2 = \dfrac{4}{9\times2}=\dfrac{4}{18}$

*Simplify the fraction (if necessary) to reach the final answer.*

$\dfrac{4}{18}=\underline{\dfrac{2}{9}}$

### Divide the numerator

#### Procedure

1. | Leave the denominator as it is. |

2. | Divide the numerator by the whole number you are dividing by. |

3. | Simplify the fraction if necessary. |

##### Example 2

*Solve the following question:*

$\dfrac49\div2$

*Leave the denominator as it is, and divide the numerator by *$2$.

$\dfrac49 \div 2 = \dfrac{4\div2}{9} = \underline{\dfrac{2}{9}}$

**Note: **As you can see, in this case, the second method was quicker as there was no simplifying needed. However, both methods resulted in the same answer.