 # Multiplying Mixed Numbers by Whole Numbers

In this worksheet, students use diagrams to multiply mixed numbers by whole numbers. Answers may involve mixed numbers. Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Multiply Fractions

Difficulty level:   ### QUESTION 1 of 10

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 multiply two and one fifth by 3.

This will give 3 lots of two and one fifth.

 2 1 + 2 1 + 2 1 = 6 3 5 5 5 5

This gives 6 wholes and three-fifths shaded as shown.       So

 3 × 2 1 = 6 3 5 5  Use the diagram to work out and complete:

 3 × 1 1 = 3 ? 4 4

(Just write the missing number shown by the ? mark.)  Use the diagram to work out and complete:

 2 × 1 2 = 2 ? 6 6

(Just write the missing number shown by the ? mark.)  Use the diagram to work out and complete:

 3 × 1 2 = 3 ? 8 8

(Just write the missing number shown by the ? mark.)    Use the diagram to work out and complete:

 3 × 3 2 = ? 6 8 8

(Just write the missing number shown by the ? mark.)  Use the diagram to work out and complete:

 3 × 1 3 = 3 9 12 ?

(Just write the missing number shown by the ? mark.)   Use the diagram to work out and complete:

 3 × 2 1 = 6 ? 4 4

(Just write the missing number shown by the ? mark.)    Use the diagram to work out and complete:

 2 × 3 2 = 6 ? 6 6

(Just write the missing number shown by the ? mark.)   Use the diagram to work out and complete:

 5 × 2 1 = 10 ? 6 6

(Just write the missing number shown by the ? mark.)   Use the diagram to work out and complete:

 3 × 2 3 = 6 ? 12 12

(Just write the missing number shown by the ? mark.)   Use the diagram to work out and complete:

 2 × 2 3 = 4 6 8 ?

(Just write the missing number shown by the ? mark.)

• Question 1  Use the diagram to work out and complete:

 3 × 1 1 = 3 ? 4 4

(Just write the missing number shown by the ? mark.)

3
EDDIE SAYS
1/4 + 1/4 + 1/4 = 3/4
• Question 2  Use the diagram to work out and complete:

 2 × 1 2 = 2 ? 6 6

(Just write the missing number shown by the ? mark.)

4
EDDIE SAYS
2/6 + 2/6 = 4/6
• Question 3  Use the diagram to work out and complete:

 3 × 1 2 = 3 ? 8 8

(Just write the missing number shown by the ? mark.)

6
EDDIE SAYS
2/8 + 2/8 + 2/8 = 6/8
• Question 4    Use the diagram to work out and complete:

 3 × 3 2 = ? 6 8 8

(Just write the missing number shown by the ? mark.)

9
EDDIE SAYS
3 × 3 = 9
• Question 5  Use the diagram to work out and complete:

 3 × 1 3 = 3 9 12 ?

(Just write the missing number shown by the ? mark.)

12
EDDIE SAYS
The denominator doesn't change.
• Question 6   Use the diagram to work out and complete:

 3 × 2 1 = 6 ? 4 4

(Just write the missing number shown by the ? mark.)

3
EDDIE SAYS
1/4 + 1/4 + 1/4 = 3/4
• Question 7    Use the diagram to work out and complete:

 2 × 3 2 = 6 ? 6 6

(Just write the missing number shown by the ? mark.)

4
EDDIE SAYS
2/6 + 2/6 = 4/6
• Question 8   Use the diagram to work out and complete:

 5 × 2 1 = 10 ? 6 6

(Just write the missing number shown by the ? mark.)

5
EDDIE SAYS
1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 5/6
• Question 9   Use the diagram to work out and complete:

 3 × 2 3 = 6 ? 12 12

(Just write the missing number shown by the ? mark.)

9
EDDIE SAYS
3/12 + 3/12 + 3/12 = 9/12
• Question 10   Use the diagram to work out and complete:

 2 × 2 3 = 4 6 8 ?

(Just write the missing number shown by the ? mark.)

8
EDDIE SAYS
The denominator doesn't change.
---- OR ----

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