Solve Problems Using Multiplication of Mixed Numbers by Whole Numbers

In this activity, we will be learning how to multiply mixed numbers by whole numbers. 

 

Look at the diagram below which shows one and 1/4 of a rectangle shaded.

 

That is one whole rectangle and 1⁄4 of a rectangle.

 

  

 

Let's try an example question using this diagram.  

 

Example

Multiply one and 1/4 by 4.

 

Answer

This will give 4 lots of one and 4 lots of 1/4.

 

1 + 1 + 1 + 1 = 4

1/4 + 1/4 + 1/4 + 1/4 = 4/4

4 and 4/4 is the same as 5 wholes.

 

        

 

4 x 1 and 1/4 = 5.

 

We could also do the same calculation without the diagram.

4 x 1 1/4.

 

First of all, you need to multiply the whole numbers. 

4 x 1 = 4

 

Next, multiply the fraction.

4 x 1⁄4 = 4/4 which equals 1

 

Finally, add the two answers together: 4 + 1 = 5

 

Now it's your turn to try some of these yourself.