Multiply Mixed Numbers by Whole Numbers

In this activity, we will be learning how to multiply fractions including mixed numbers. 

 

We can use diagrams to help us understand multiplying fractions. 

 

Look at this diagram which shows two and one fifth of a rectangle shaded.

That's 2 whole rectangles and one fifth of a rectangle.

 

    

 

Let's try an example question together using this model. 

 

Example

Multiply two and one fifth by 3.

 

Answer

This will give 3 lots of two and one fifth.

 

 

This gives 6 wholes and three fifths shaded as shown.

 

    

    

 

So

 

Now it's your turn to try some questions like this.