 # 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?
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