# Multiplying and Dividing Fractions

Multiplying fractions is easy:
just multiply the numerators,
and multiply the denominators.
(Some people refer to this as *multiplying across*.)

That is:

Every division problem is a multiplication problem in disguise: to divide by a number means to multiply by its reciprocal.

That is, $\,x\,$ divided by $\,y\,$ is the same as $\,x\,$ times the reciprocal of $\,y\,.$

In symbols:

$$ \cssId{s16}{x\div y} \cssId{s17}{= \frac{x}{y}} \cssId{s18}{= x\cdot \frac{1}{y}} $$Here's what it looks like with fractions:

$$ \cssId{s20}{\frac{A}{B}\div\frac{C}{D}} \cssId{s21}{= \frac{A}{B}\cdot\frac{D}{C}} \cssId{s22}{= \frac{AD}{BC}} $$## Examples

(You may input your answer in either form, simplified or not.)

## Practice

Where needed, input your answer as a diagonal fraction (like “2/5”), since you can't input horizontal fractions. Answers do not need to be in simplest form.