Multiply Mixed Numbers by Whole Numbers Worksheet

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.

Fraction rectangle 4/4 = 1 Fraction rectangle 1/4

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.

Fraction rectangle 4/4 = 1

4 x 1 and 1/4 = 5.

Fraction rectangle 4/4 = 1 Fraction rectangle 1/4

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

5 x 1 1/4 = ?

6 1/4

5 1/4

6 1/8

Fraction rectangle 6/6 = 1 Fraction rectangle 2/6

Use the diagram to help solve the multiplication sum below.

3 x 1 2/6 =

3 2/6

3 4/6

Fraction rectangle 8/8 = 1 Fraction rectangle 2/8

Use the diagram to help solve the multiplication sum below.

2 x 1 2/8 = ?

2 4/8

2 2/8

2 1/8

Fraction rectangle 8/8 = 1 Fraction rectangle 2/8

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

Fraction rectangle 12/12 = 1 Fraction rectangle 3/12

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

Fraction rectangle 4/4 = 1 Fraction rectangle 1/4

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

Fraction rectangle 6/6 = 1 Fraction rectangle 1/6

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

4 x 1 1/6 = ?

Fraction rectangle 8/8 = 1 Fraction rectangle 3/8

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?

pizza

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?

ANSWERS

Question 1

Fraction rectangle 4/4 = 1 Fraction rectangle 1/4

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

5 x 1 1/4 = ?

CORRECT ANSWER

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

ANSWERS

Question 2

Fraction rectangle 6/6 = 1 Fraction rectangle 2/6

Use the diagram to help solve the multiplication sum below.

3 x 1 2/6 =

CORRECT ANSWER

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

ANSWERS

Question 3

Fraction rectangle 8/8 = 1 Fraction rectangle 2/8

Use the diagram to help solve the multiplication sum below.

2 x 1 2/8 = ?

CORRECT ANSWER

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

ANSWERS

Question 4

Fraction rectangle 8/8 = 1 Fraction rectangle 2/8

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

3 x 2 2/8 =?

CORRECT ANSWER

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

ANSWERS

Question 5

Fraction rectangle 12/12 = 1 Fraction rectangle 3/12

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

2 x 1 3/12 = ?

CORRECT ANSWER

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

ANSWERS

Question 6

Fraction rectangle 4/4 = 1 Fraction rectangle 1/4

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

3 x 3 1/4 = ?

CORRECT ANSWER

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

ANSWERS

Question 7

Fraction rectangle 6/6 = 1 Fraction rectangle 1/6

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

4 x 1 1/6 = ?

CORRECT ANSWER

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

ANSWERS

Question 8

Fraction rectangle 8/8 = 1 Fraction rectangle 3/8

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

2 x 2 3/8 =?

CORRECT ANSWER

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!

ANSWERS

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?

pizza

CORRECT ANSWER

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.

ANSWERS

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?

CORRECT ANSWER

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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