To change fractions into equivalent forms, you can either multiply or divide both the top and bottom numbers by the same number.

Example 1: Multiplying

• Let’s start with the fraction $\frac{1}{2}$.
• If we multiply both the top (numerator) and the bottom (denominator) by 2, we get: $\frac{1 \times 2}{2 \times 2} = \frac{2}{4}.$ This means $\frac{1}{2}$ is the same as $\frac{2}{4}$.

Example 2: Dividing

• Now, let’s look at the fraction $\frac{6}{8}$.
• If we divide both the top and bottom by 2, we have: $\frac{6 \div 2}{8 \div 2} = \frac{3}{4}.$ So, $\frac{6}{8}$ is equal to $\frac{3}{4}$.

Using these simple methods, you can easily find equivalent fractions!