# How to Multiply Mixed Numbers

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.

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by Mometrix Test Preparation | Last Updated: August 15, 2019