Question

How many $\frac{1}{6}$s are there in $\frac{25}{2}?$

Answer 1

The number of $\frac{1}{6}$s in $\frac{25}{2}$ is equal to $\frac{25}{2}÷\frac{1}{6}.$

Step 1: Turn the second fraction upside down (it becomes a reciprocal)
$\frac{1}{6}$ becomes $\frac{6}{1}$

Step 2: Multiply the first fraction by that reciprocal. Multiply the top numbers and the bottom numbers as follows.

$\therefore \frac{25}{2}\times \frac{6}{1}=\frac{25\times 6}{2\times 1}$

Step 3: Simplify the fraction

$=\frac{5\times 5\times 3\times 2}{2\times 1}$

$=5\times 5\times 3$

$=75$

Hence, number of $\frac{1}{6}$s in $\frac{25}{2}$ is $75.$