SAVE IT, CHANGE IT, FLIP IT.
That is all you need to remember when dividing fractions. Easy as 1, 2, 3. Seriously, it's almost as easy as multiplying; you just need to add one more step, multiply by the reciprocal of the 2nd fraction. Let's look at this example:
 | SAVE IT. Keep the first fraction the same |
 | CHANGE IT and FLIP IT. Change the division sign to a multiplication sign. Take the reciprocal of the second fraction. |
 | Now, multiply and reduce as usual |
 | And here's our answer. |
Look Out: always flip the second fraction, not the first!