Multiply Mixed Numbers by Whole Numbers

In this worksheet, students will be asked to multiply mixed numbers by whole numbers.

Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Multiply Fractions

Difficulty level:

QUESTION 1 of 10

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 multiply one and 1/4 by 4.

This will give 4 lots of one and 1⁄4.

1 1/4+ 1 1/4 + 1 1/4 + 1 1/4 = 4 4/4

4 4/4 is the same as 5 wholes.

This is shown by the diagrams below.

4 x 1 and 1/4 = 5.

Use the diagrams to help solve the multiplication sum...

5 x 1 1/4  = ?

6 1/4

5 1/4

6

6 1/8

Use the diagram to help solve the multiplication sum below.

3 x 1 2/6 =

4

5

3 2/6

3 4/6

Use the diagram to help solve the multiplication sum below.

2 x 1 2/8 = ?

2 4/8

2 2/8

2 1/8

3

Use the diagram in order to work out the equation below.

3 x 2 2/8 =?

2 4/8

2 2/8

2 1/8

3

Use the diagram to work out and complete the equation below.

2 x 1 3/12 = ?

2 4/8

2 2/8

2 1/8

3

Use the diagram to work out and complete the equation below.

3 x 3 1/4 = ?

2 4/8

2 2/8

2 1/8

3

Use the diagram to work out and complete the equation below.

4 x 1 1/6 = ?

Use the diagram to work out and complete the equation below.

2 x 2 3/8 =?

At a birthday party, some children share a pizza.

Each child eats 3/16 of the pizza.

How much pizza do they eat in total?

A cake's ingredient list requires 1 1/8 of a bag of flour in order to make one large cake.

A baker needs to make 7 cakes.

How much flour will she need in total?

• Question 1

Use the diagrams to help solve the multiplication sum...

5 x 1 1/4  = ?

6 1/4
EDDIE SAYS
How did you find this first question? 5 x 1 1/4 = 6 1/4 It helps to multiply all of the whole numbers first. 5 x 1 = 5 Then multiply the fractions 5 x 1/4 = 1 1/4 5 + 1 1/4 = 6 1/4
• Question 2

Use the diagram to help solve the multiplication sum below.

3 x 1 2/6 =

4
EDDIE SAYS
Hopefully, this second question is helping you to get the hang of it. 3 x 1 2/6 = 4 Remember, it helps to multiply all of the whole numbers first. 3 x 1 = 3 Then multiply the fractions 3 x 2/6 = 6/6 6/6 is the same as one whole. Add together 3 + 1 = 4
• Question 3

Use the diagram to help solve the multiplication sum below.

2 x 1 2/8 = ?

2 4/8
EDDIE SAYS
Did you choose the correct answer? 2 x 1 2/8 = 2 4/8 Remember, it can help us to multiply all of the whole numbers first. 2 x 1 = 2 Then multiply the fractions 2 x 2/8 = 4/8 Add together 2 + 4/8 = 2 4/8
• Question 4

Use the diagram in order to work out the equation below.

3 x 2 2/8 =?

EDDIE SAYS
When we multiply mixed numbers by whole numbers, it can help to multiply the whole numbers first... 3 x 2 = 6 Then multiply the fractions 2/8 x 3 = 6/8 And finally, add both together = 6 6/8
• Question 5

Use the diagram to work out and complete the equation below.

2 x 1 3/12 = ?

EDDIE SAYS
As before, don't forget that when we multiply mixed numbers by whole numbers, it can help to multiply the whole numbers first, 2 x 1 = 2 Multiply the fractions 2 x 3/12 = 6/12 Finally, add the two together = 2 6/12
• Question 6

Use the diagram to work out and complete the equation below.

3 x 3 1/4 = ?

EDDIE SAYS
Again, when we multiply mixed numbers by whole numbers, it can help to multiply the whole numbers first. 3 x 3 = 9 Then multiply the fractions 3 x 1/4 = 3/4 And finally, add them together = 9 3/4
• Question 7

Use the diagram to work out and complete the equation below.

4 x 1 1/6 = ?

4 4/6
EDDIE SAYS
This time you had to work out every part of the answer independently! 4 x 1 1/6 = 4 4/6 4 x 1 = 4 4 x 1/6 = 4/6
• Question 8

Use the diagram to work out and complete the equation below.

2 x 2 3/8 =?

4 6/8
EDDIE SAYS
Again, it was over to you to work out every part of the answer on your own. 2 x 2 3/8 = ? 2 x 2 = 4 2 x 3/8 = 6/8 You're getting good at this!
• Question 9

At a birthday party, some children share a pizza.

Each child eats 3/16 of the pizza.

How much pizza do they eat in total?

15/16
EDDIE SAYS
The quickest way to find out how much pizza was eaten is to carry out a multiplication sum. 5 x 3/16 = 15/16 The denominator of the fraction stays the same. The numerator is multiplied by 5.
• Question 10

A cake's ingredient list requires 1 1/8 of a bag of flour in order to make one large cake.

A baker needs to make 7 cakes.

How much flour will she need in total?

7 7/8
EDDIE SAYS
The quickest way to find out how much flour is needed is to carry out a multiplication sum. 7 x 1 1/8 = 7 7/8 7 x 1 = 7 7 x 1/8 = 7/8 Great work, you've completed another activity! How about attempting another one so you feel super confident?
---- OR ----

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started