# What Ratio is equivalent to 30/45?

Mar 3, 2018

$\frac{2}{3}$

#### Explanation:

The ratio $\frac{30}{45}$ is not in simplest terms (meaning the numerator and denominator have nothing in common), so to find a ratio equivalent, you must reduce the fraction.

So first, you must think to yourself, what do $30$ and $45$ have in common? Since they both have $5$ in common, you would need to divide $30$ by $5$, and $45$ by $5$.

$\frac{30 \div 5}{45 \div 5}$

You are left with the fraction or ration $\frac{6}{9}$, which is equivalent to $\frac{30}{45}$. However, this can be reduced even more, since $6$ and $9$ both are divisible by $3$.

$\frac{6 \div 3}{9 \div 3}$

Now, your final answer is $\frac{2}{3}$