# Fractions Simplified: Multiplying and Dividing

So far in our series on fractions simplified, we have covered the basic fraction terms, relationships between types of fractions, and adding and subtracting fractions. Now we take our fraction simplicity one step further with multiplying and dividing fractions.  Believe it or not, multiplying and dividing fractions is even easier than adding and subtracting fractions!

## Multiplying Fractions

Unlike addition and subtraction, when you multiply fractions, the denominators do not have to be the same.  You simply multiply the numerators together, and then multiply the denominators together. For example, 34 x 25 = 620.  (3 x 2 = 6 and 4 x 5 = 20)

## Dividing Fractions

Did you know that you can’t actually divide fractions in a simple equation?  So unless you want to draw a picture for every division problem, you need a trick.  You need to turn your division problem into a multiplication problem.  This involves using the reciprocal of your second fraction. (The reciprocal is simply the inverse of your fraction. To get a reciprocal, just flip your fraction upside down. 23 becomes 32)

Simply rewrite the problem using the reciprocal of the second fraction. Then multiply just like you normally would to get the correct answer.  For example, 14 ÷ 25 would become 14 x 52 = 58.  You can find out exactly why this works in this short video.

## Multiplying Mixed Numbers 