# 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.

Adding

Look at this example.

3
 3 4
+ 2
 1 6

Answer

3 + 2 = 5

Then add the fractions.

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

Answer

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

CORRECT ANSWER

## Column B

A
5
B
11
C
12
EDDIE SAYS

3 + 2 = 5

3/4 + 1/6 = 9/12 + 2/12 = 11/12
Answer is 511/12
• 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

CORRECT ANSWER

## Column B

A
21
B
17
C
20
EDDIE SAYS

10 + 11 = 21

3/4 + 1/10 = 15/20 + 2/20 = 17/20
Answer is 2117/20
• 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

CORRECT ANSWER

## Column B

A
12
B
41
C
63
EDDIE SAYS

5 + 7 = 12

3/7 + 2/9 = 27/63 + 14/63 = 41/63
Answer is 1241/63
• 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

CORRECT ANSWER

## Column B

A
6
B
11
C
36
EDDIE SAYS

9 - 3 = 6

9/12 - 4/9 = 27/36 - 16/36 = 11/36
Answer is 611/36
• 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

CORRECT ANSWER

## Column B

A
4
B
29
C
36
EDDIE SAYS

5 - 1 = 4

8/9 - 1/12 = 32/36 - 3/36 = 29/36
Answer is 429/36
• 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

CORRECT ANSWER

## 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
Answer is 31/3
• 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

CORRECT ANSWER

## Column B

A
3
B
11
C
12
EDDIE SAYS

1 + 2 = 3

2/3 + 1/4 = 8/12 + 3/12 = 11/12
Answer is 311/12
• 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

CORRECT ANSWER

## 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
Answer is 413/33
• 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

CORRECT ANSWER

## Column B

A
18
B
19
C
30
EDDIE SAYS

19 - 1 = 18

4/5 - 1/6 = 24/30 - 5/30 = 19/30
Answer is 1819/30
• 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

CORRECT ANSWER

## Column B

A
6
B
7
C
18
EDDIE SAYS

4 + 2 = 6

2/9 + 1/6 = 4/18 + 3/18 = 7/18
Answer is 67/18
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