How to Multiply Fractions – with Clear Examples

Multiplying fractions is easy. However, many are asking how to multiply fractions.

To begin with, we do not need to worry about what kind of fractions we are dealing with, whether similar or dissimilar.

Likewise, we do not need to find the least common denominator.

Above all, the only thing that we need to consider is that our fractions must not be in a mixed form to avoid confusion.


How to Multiply Fractions – Step-by-step

To start with, I have enumerated below the step-by-step procedure how to multiply fractions:


Step 1. First, check the fractions and their operation. Initially, check the multiplication sign or symbol. Then, if the fraction is in mixed form, convert the fraction into improper fractions.

Step 2. Next, multiply their numerators.


Step 3. Then, multiply their denominators.


Step 4. Finally, convert your answer to its lowest term. Similarly, write your answer into a mixed number if required.


How to Multiply Fractions – Clear Examples

Example no. 1

As our first example, we will multiply both proper fractions. For instance, let’s multiply 2/3 and 3/4.

How to Multiply Fractions- Example no.1
Example no.1

Additionally, if ever you want to review simplifying fractions, follow this link.

Example no. 2

Now, let’s try multiplying a proper fraction to an improper fraction. For example, solve 4/6 x 5/2.

How to Multiply Fractions - Examples 2
Example no. 2

For converting an improper fraction into a mixed number, follow the related post in this link.

Example no. 3

Next, let’s try another example. Again, we are going to multiply improper fractions. For instance, solve 5/4 x 8/3.

How to Multiply Fractions - Examples 3
Example no. 3

Example no. 4

Moving on, we can also multiply a fraction and a whole number. For example, try 1/2 x 100.

Multiplying Fractions - Examples 4
Example no. 4

Example no. 5

To put it another way, what if the whole number is our dividend? For example, let’s see by finding the product of 20 and 3/4.

Multiplying Fractions - Examples 5
Example no. 5

Example no. 6

Moreover, what about multiplying fractions that involve a mixed form fraction? For illustration, let’s solve 1/2 x 3 1/3.

Multiplying Fractions - Examples 6
Example no. 6

Example no. 7

To understand further, let’s take a look at this example. Solve 4 2/3 x 5/8.

How to Multiply Fractions- Examples 7
Example no. 7

Example no. 8

To put it differently, let’s multiply a whole number to a mixed number in this example. For example, solve 2 x 3 3/7.

How to Multiply Fractions- Examples 8
Example no. 8

Example no. 9 For our last example, let’s solve 2 2/7 x 3.

How to Multiply Fractions - Examples 9
Example no. 9

Meanwhile, have you noticed that our previous example has the same result as our last example? Hence, this saved me some time to edit the illustrations.


Summary

Most importantly, to multiply fractions, you must know at least the following:

  1. Of course, you must know how to perform basic multiplication.
  2. Then, you must understand what is proper fractions, improper fractions, and mixed numbers.
  3. Finally, you must know how to simplify fractions.
  1. How to simplify fractions?
  2. What is a fraction?
  3. Check your answer with fraction calculator.

On the other hand, please write your comments, suggestions, or questions in the comment box below if you find this blog interesting. I am happy to hear from you guys.

Leave a Reply

Your email address will not be published.