# How do you find the quotient of 15 divided by 5/6?

Sep 18, 2015

$18$

#### Explanation:

Quotient is the answer after you divide one number (dividend) by another (divisor).

In this question $15$ is the dividend.

Whereas, $\frac{5}{6}$ is the divisor.

Calculation:

$= 15 \div \frac{5}{6}$

Note that that the sign $\left(\div\right)$ could be change to $\left(\times\right)$ to make calculation easier, but in order to do that, $\frac{5}{6}$ must be inverted to $\frac{6}{5}$.

That will make the calculation looks like;

$= 15 \times \frac{6}{5}$

We can simplify $15$ and $5$ to give us the final answer;

$= \cancel{15} 3 \times \frac{6}{\cancel{5} 1}$

$= 3 \times 6$

$= 18$