How do you divide two fractions?

A fraction is simply a different way to write a division sum. I.e a \divide b = a/b.

This also applies if the two numbers we're dividing are fractions themselves:

a/b \divide c/d = (a/b) / (c/d). This still looks a little complicated so let's manipulate this fraction-of-fractions and try to end up with something we know how to deal with. Let us try multiplying both the numerator and denominator by b and d.

(a/b)bd / (c/d)bd. In the numerator the two b's cancel out. Similarly the two d's cancel out in the denominator. We are left with:

(ad) / (bc) = a/b * d/c.

Now we see that dividing two fractions is the same as flipping over the second fraction and then multiplying them together.