Jun 11, 2017

See explanation

Explanation:

It's simple. Any fraction can be multiplied by 1 and still retain the same value. However, if a fraction is multiplied by different forms of 1, then it's appearance will change but it will still have the same value as the original fraction. Let me demonstrate by showing you an example:

$\frac{2}{3} \cdot \frac{2}{2} = \frac{4}{6}$

$\frac{4}{6}$ is still $\frac{2}{3}$, right? Now, let me multiply $\frac{2}{3}$ by another form of $1$:

$\frac{2}{3} \cdot \frac{3}{3} = \frac{6}{9}$

And $\frac{6}{9}$ is also $\frac{2}{3}$, right? As you can see, to make an equivalent fraction from a given fraction, all you have to do is multiply the fraction by a different form of $1$ to generate a fraction that doesn't look like the original fraction but has the same value as it.

Hope this helped!