Hi Jennifer,

Division is the inverse of multiplication so you can often think of a division problem by way of a multiplication problem. For example you know that

$$\frac63$$

is 2 because

$$3 \times 2 = 6.$$

Think of your problem the same way. What is the number x so that

$$\frac{6}{3/8} = x$$

is equivalent to asking what is the number $x$ so that

$$6 = x \times \frac{3}{8}?$$

Now you can see that if you multiply both sides by $\large \frac83$ you get

$$x = 6 \times \frac{8}{3}.$$

The same technique works if you have to divide a fraction by a fraction.

Penny