# How to Multiply Mixed Numbers | Math Review

This video shows multiple examples of how multiply mixed numbers. **To multiply mixed numbers, you have to first convert both numbers to fractions.** Then after multiplying the fractions, convert them back to mixed numbers. For example, for the problem 2 1/3 x 3 3/4, you would convert the mixed numbers to get 7/3 x 15/4 = 35/4. 35/4 converted to a mixed number is 8 3/4.

## Multiplying Mixed Numbers

**In order to multiply two mixed numbers, you have to first convert both numbers to fractions.** Then, after you multiply the fractions, you can convert them back to mixed numbers. Let’s look at a few examples. First, we have 2 1/3 times 3 3/4. 3 x 2 = 6, plus 1 is 7. We have 7/3. 4 x 3 = 12, plus 3 is 15. 15/4. If you look at these two, you see that we can cancel the 15 and the 3. If we divide both numbers by 3, 3/3 = 1 and 15/3 = 5.

Now we can multiply. 7 x 5 = 35. 1 x 4 = 4. 4 goes into 35 eight times with a remainder of 3. Our answer is 8 3/4. In the second example, we have 4 1/6 times 1 1/2. 6 x 4 = 24, plus 1 is 25. We have 25/6. 2 x 1 = 2, plus 1 is 3. 3/2. Once again, we can cancel here. 6 and 3 are both divisible by 3. We’ll divide 3 by 3 and get 1 and 6 by 3 and get 2. Then, we can multiply. 25 x 1 = 25. 2 x 2 = 4. 25/4. 4 goes into 25 six times with a remainder of 1. Our answer is 6 1/4.

In the final example here, we have 3 x 5 = 15, plus 2 is 17. 17/3. 5 x 2 = 10, plus one is 11. 11/5. There’s nothing to cancel here, so we’ll just go ahead and multiply. 17 x 11 = 187. 3 x 5 = 15. 15 goes into 187 twelve times with a remainder of seven. The answer here is 12 7/15.