Multiplying Fractions
For example, when you multiply 3 x 4, you could make a model that is 3 across and 4 down.
![](/math/topics/images/multiplying_fractions_img1.png)
We can use the same sort of model to multiply fractions. If you have proper fractions, you will need to start with a unit square.
Check out this example:
![](/math/topics/images/multiplying_fractions_img2.png)
So let's see what happened mathematically.
![](/math/topics/images/multiplying_fractions_img3.png)
When we multiply fractions, we multiply the numerators and then we multiply the denominators.
We can use this as our algorithm to multiply fractions.
Example 1:
![](/math/topics/images/multiplying_fractions_img4.png)
Multiply the tops. Then multiply the bottoms.
![](/math/topics/images/multiplying_fractions_img5.png)
Example 2:
![](/math/topics/images/multiplying_fractions_img6.png)
We will follow the same steps again.
![](/math/topics/images/multiplying_fractions_img7.png)
Example 3:
![](/math/topics/images/multiplying_fractions_img8.png)
![](/math/topics/images/multiplying_fractions_img9.png)
In this example, we get an improper fraction. We can rewrite this as a mixed number.
![](/math/topics/images/multiplying_fractions_img10.png)
Example: ![](/math/topics/images/multiplying_fractions_img11.png)
We can even use this method to multiply a fraction with a whole number. The key is to write the whole number as a fraction first. 4 becomes 4 over 1. 8 becomes 8 over 1.
![](/math/topics/images/multiplying_fractions_img11.png)
We can even use this method to multiply a fraction with a whole number. The key is to write the whole number as a fraction first. 4 becomes 4 over 1. 8 becomes 8 over 1.
![](/math/topics/images/multiplying_fractions_img12.png)
Now we can change the improper fraction to a mixed number to show our answer.
![](/math/topics/images/multiplying_fractions_img13.png)
So let's review.
To multiply fractions, you simply need to multiply the numerators and then multiply the denominators. Finally, write your answer as a fraction.
Related Links:
Math
Fractions
Fraction Multiplication Worksheets
Math Vocabulary - Division and Fractions Quiz
Add and Subtract Like Fractions Quiz
Add and Subtract unlike fractions Quiz
Multiply Fractions Quiz
Dividing Fractions Quiz
Factors