# Dividing fractions

Home -> Tutorials -> Dividing fractions

A fraction is made up of an integer numerator (the top number) and a non-zero integer denominator (the bottom number) and represents a part of a whole.

## To divide by a fraction, multiply by its reciprocal

For all real numbers a, b, c, d (b≠0,c≠,d≠0).

### Example1:

Solve: $\frac{1}{8} \div \frac{1}{4}$

### Solution:

Step1:

Turn the second fraction upside down (the reciprocal) and multiply the first fraction by that reciprocal:

$\frac{1}{8} \times \frac{4}{1} = \frac{1 \times 4}{8 \times 1} = \frac{4}{8}$

Step2:

Simplify the fraction:

$\frac{4}{8} = \frac{1}{2}$

Answer: $\frac{1}{2}$