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Today, we are going to learn to multiply fractions by whole numbers.

Have a look at the in focus question below.

What fraction is the diagram showing?


How do you think ¼ could be multiplied by 3?


Have a look below to find out.

We can see that ¼ x 3 = ¾

¼ + ¼ + ¼ = ¾

Multiplication is the same as repeated addition.

Now, how can we work out 3 x 2/5?


3 x 2/5 = 

2/5 + 2/5 + 2/5 


We know that 3 x 2 = 6 and our denominator stays the same so our answer would be 6/5. Remind yourself of why this is an improper fraction?


Can you remember what this would be as a mixed fraction?

That’s right. It is 1 1/5.

Now have a go at the Guided Practice section above.


Remember the rule for multiplying whole numbers and fractions.

Multiply the whole number by the numerator and this will be our answer for the numerator and our denominator stays the same.


Remember sometimes you may need to convert an improper fraction into a mixed fraction and some answers may need to be given in simple forms.

Now complete worksheet 15 below which will be sent to you on Seesaw.