# How to Divide Mixed Numbers | Math Review

Dividing mixed numbers is very similar to multiplying them, but with the added step of taking the reciprocal of the second term before multiplying. **This video shows two detailed examples of how to divide mixed numbers.** Here is one example: First, convert each mixed number into a proper fraction. For example, 4 3/5 ÷ 2 1/3 would become 23/5 ÷ 7/3. Convert this to multiplication, take the second number and invert it: 3/7. Multiplying 23/5 by 3/7 gives you 69/35, which converts to 1 34/35.

## Dividing Mixed Numbers

Dividing mixed numbers is very similar to multiplying mixed numbers, but with the added step of taking the reciprocal of the second term before multiplying. Let’s take a look at these examples here. We have 4 3/5 divided by 2 1/3.

**The first step is to convert each of these to an improper fraction.** We have 5×4=20, plus 3 is 23, over five, divided by, 3×2=6, plus 1 is 7, over 3. To convert this to multiplication, we take the second number and invert it with the three on the top and the seven on the bottom. We have 23/5×3/7. This is equal to 23×3=69, over 5×7=35. 35 goes into 69 one time with the remainder 34. We have 1 34/35.

**On the second problem we are going to do the same thing.** We have 2×6=12, plus one is 13, over two, divided by, 4×3=12, plus three is 15, 15/4. Once again, we’re we’re going to invert the second fraction. We have 13/2×4/15. If you look at this, you can see that we can reduce by dividing this by two to get 1 and this by two to get 2. Our product is now going to be 13×2=26, over 1×15=15. 15 goes into 26 only one time with a remainder of 11. We have 1 11/15.