Dividing fractions is just as easy as multiplying them. In fact, when you divide fractions, you really turn the problem into multiplication by using a reciprocal.
To divide one fraction by another, multiply the first fraction by the reciprocal of the second. (The reciprocal of a fraction is simply that fraction turned upside down.)
For example, here’s how you turn fraction division into multiplication:
First, you turn 4/5 into its reciprocal — 5/4 — and change the division sign to a multiplication sign. After that, just multiply the fractions:
As with multiplication, in some cases you may have to reduce your result at the end. But you can also make your job easier by canceling out equal factors.
