 # Add or Subtract Mixed Numbers

In this worksheet, students must add or subtract the given mixed numbers. Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Four Operations for All Numbers

Difficulty level:   ### QUESTION 1 of 10

In this worksheet, we will learn how to add or subtract mixed numbers by following the given examples.

To add or subtract two mixed numbers, first add or subtract the whole numbers, then the fraction parts.

Look at this example.

3
 3 4
+ 2
 1 6

3 + 2 = 5

Here we turn each fraction into 12ths.

 3 4
 1 6
 3 × 3 12
 1 × 2 12
 9 12
 2 12
 11 12

3
 3 4
+ 2
 1 6
= 5
 11 12

Subtracting

Look at this example.

3
 5 6
- 1
 2 9

3 - 1 = 2

Then subtract the fractions.

Here we turn each fraction into 18ths.

 5 6
-
 2 9
=
 5 × 3 18
-
 2 × 2 18
=
 15 18
-
 4 18
=
 11 18

3
 5 6
- 1
 2 9
= 2
 11 18

Remember to reduce fractions if you can.

So, for example, 6/8 should be reduced to 3/4.

Add these two mixed numbers and find the values of A, B and C.

3
 3 4
+ 2
 1 6
= A
 B C

## Column B

A
11
B
12
C
5

Add these two mixed numbers and find the values of A, B and C.

10
 3 4
+ 11
 1 10
= A
 B C

## Column B

A
17
B
21
C
20

Add these two mixed numbers and find the values of A, B and C.

5
 3 7
+ 7
 2 9
= A
 B C

## Column B

A
63
B
41
C
12

Subtract these two mixed numbers and find the values of A, B and C.

9
 9 12
- 3
 4 9
= A
 B C

## Column B

A
36
B
11
C
6

Subtract these two mixed numbers and find the values of A, B and C.

5
 8 9
- 1
 1 12
= A
 B C

## Column B

A
36
B
4
C
29

Add these two mixed numbers and find the values of A, B and C.

2
 1 6
+ 1
 2 12
= A
 B C

## Column B

A
1
B
3
C
3

Add these two mixed numbers and find the values of A, B and C.

1
 2 3
+ 2
 1 4
= A
 B C

## Column B

A
12
B
11
C
3

Subtract these two mixed numbers and find the values of A, B and C.

6
 8 11
- 2
 2 6
= A
 B C

## Column B

A
13
B
4
C
33

Subtract these two mixed numbers and find the values of A, B and C.

19
 4 5
- 1
 1 6
= A
 B C

## Column B

A
30
B
18
C
19

Add these two mixed numbers and find the values of A, B and C.

4
 2 9
+ 2
 1 6
= A
 B C

## Column B

A
7
B
18
C
6
• Question 1

Add these two mixed numbers and find the values of A, B and C.

3
 3 4
+ 2
 1 6
= A
 B C

## Column B

A
5
B
11
C
12
EDDIE SAYS

3 + 2 = 5

3/4 + 1/6 = 9/12 + 2/12 = 11/12
• Question 2

Add these two mixed numbers and find the values of A, B and C.

10
 3 4
+ 11
 1 10
= A
 B C

## Column B

A
21
B
17
C
20
EDDIE SAYS

10 + 11 = 21

3/4 + 1/10 = 15/20 + 2/20 = 17/20
• Question 3

Add these two mixed numbers and find the values of A, B and C.

5
 3 7
+ 7
 2 9
= A
 B C

## Column B

A
12
B
41
C
63
EDDIE SAYS

5 + 7 = 12

3/7 + 2/9 = 27/63 + 14/63 = 41/63
• Question 4

Subtract these two mixed numbers and find the values of A, B and C.

9
 9 12
- 3
 4 9
= A
 B C

## Column B

A
6
B
11
C
36
EDDIE SAYS

9 - 3 = 6

9/12 - 4/9 = 27/36 - 16/36 = 11/36
• Question 5

Subtract these two mixed numbers and find the values of A, B and C.

5
 8 9
- 1
 1 12
= A
 B C

## Column B

A
4
B
29
C
36
EDDIE SAYS

5 - 1 = 4

8/9 - 1/12 = 32/36 - 3/36 = 29/36
• Question 6

Add these two mixed numbers and find the values of A, B and C.

2
 1 6
+ 1
 2 12
= A
 B C

## Column B

A
3
B
1
C
3
EDDIE SAYS

2 + 1 = 3

1/6 + 2/12 = 2/12 + 2/12 = 4/12 which reduces to 1/3
• Question 7

Add these two mixed numbers and find the values of A, B and C.

1
 2 3
+ 2
 1 4
= A
 B C

## Column B

A
3
B
11
C
12
EDDIE SAYS

1 + 2 = 3

2/3 + 1/4 = 8/12 + 3/12 = 11/12
• Question 8

Subtract these two mixed numbers and find the values of A, B and C.

6
 8 11
- 2
 2 6
= A
 B C

## Column B

A
4
B
13
C
33
EDDIE SAYS

6 - 2 = 4

8/11 - 2/6 = 48/66 - 22/66 = 26/66 which reduces to 13/33
• Question 9

Subtract these two mixed numbers and find the values of A, B and C.

19
 4 5
- 1
 1 6
= A
 B C

## Column B

A
18
B
19
C
30
EDDIE SAYS

19 - 1 = 18

4/5 - 1/6 = 24/30 - 5/30 = 19/30
• Question 10

Add these two mixed numbers and find the values of A, B and C.

4
 2 9
+ 2
 1 6
= A
 B C

## Column B

A
6
B
7
C
18
EDDIE SAYS

4 + 2 = 6

2/9 + 1/6 = 4/18 + 3/18 = 7/18 