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Solve Fraction Statements involving Mixed Numbers

In this worksheet, students will complete statements involving mixed numbers and improper fractions.

'Solve Fraction Statements involving Mixed Numbers' worksheet

Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Convert Fractions

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Look at the statement below.

 

3  +  4  =  7  =  1 2
5 5 5 5

 

3 fifths + to 4 fifths = 7 fifths.

7 fifths is a top-heavy improper fraction.

7 ÷ 5 = 1 remainder 2.

7 fifths can be changed to the mixed number "one and 2 fifths".

 

 

For example: what are the values of A, B and C in this statement?

 

5  +  6  =  A  =  B 4
7 7 7 C

 

Answer:

5 sevenths added to 6 sevenths = 11 sevenths.

11 sevenths is a top-heavy improper fraction.

11 ÷ 7 = 1 remainder 4.

11 sevenths can be changed to the mixed number "one and 4 sevenths".

 

This gives us:

 

5  +  6  =  11  =  1 4
7 7 7 7

 

Therefore,

A = 11

B = 1

C = 7

 

Want to understand this further and learn how this links to other topics in maths?


Why not watch this video?

 

What are the values of A, B and C in this statement?

 

 

2  +  4  =  A  =  B C
5 5 5 5

Column A

Column B

A
1
B
1
C
6

What are the values of A, B and C in this statement?

 

 

2  +  2  =  A  =  B C
3 3 3 3

Column A

Column B

A
1
B
1
C
4

What are the values of A, B and C in this statement?

 

 

3  +  3  =  A  =  B C
4 4 4 4

Column A

Column B

A
6
B
1
C
2

What are the values of A, B and C in this statement?

 

 

4  +  4  =  A  =  B C
5 5 5 5

Column A

Column B

A
3
B
8
C
1

What are the values of A, B and C in this statement?

 

 

5  +  5  =  A  =  B C
6 6 6 6

Column A

Column B

A
4
B
1
C
10

What are the values of A, B and C in this statement?

 

 

8  +  7  =  A  =  B C
9 9 9 9

 

 

 

Tim states that;

A is 15.

B is 1.

and C is 6.

 

Is Tim correct or incorrect?

Incorrect

Correct

What are the values of A, B and C in this statement?

 

 

6  +  4  =  A  =  B C
7 7 7 7

Column A

Column B

A
1
B
3
C
10

What are the values of A, B and C in this statement?

 

 

3  +  4  =  A  =  1 B
5 5 5 C

Column A

Column B

A
2
B
7
C
5

What are the values of A, B and C in this statement?

 

 

3  +  4  =  A  =  1 B
6 6 6 C

Column A

Column B

A
2
B
7
C
5

What are the values of A, B and C in this statement?

 

 

5  +  6  =  A  =  1 B
7 7 7 C

 

 

 

(Write your answer in numerical form.)

Column A

Column B

A
2
B
7
C
5
  • Question 1

What are the values of A, B and C in this statement?

 

 

2  +  4  =  A  =  B C
5 5 5 5
CORRECT ANSWER

Column A

Column B

A
6
B
1
C
1
EDDIE SAYS
2  +  4  =  6  =  1 1
5 5 5 5
  • Question 2

What are the values of A, B and C in this statement?

 

 

2  +  2  =  A  =  B C
3 3 3 3
CORRECT ANSWER

Column A

Column B

A
4
B
1
C
1
EDDIE SAYS
2  +  2  =  4  =  1 1
3 3 3 3
  • Question 3

What are the values of A, B and C in this statement?

 

 

3  +  3  =  A  =  B C
4 4 4 4
CORRECT ANSWER

Column A

Column B

A
6
B
1
C
2
EDDIE SAYS
3  +  3  =  6  =  1 2
4 4 4 4
You're making terrific progress maths-whiz!
  • Question 4

What are the values of A, B and C in this statement?

 

 

4  +  4  =  A  =  B C
5 5 5 5
CORRECT ANSWER

Column A

Column B

A
8
B
1
C
3
EDDIE SAYS
4  +  4  =  8  =  1 3
5 5 5 5
Did you get the hang of it?
  • Question 5

What are the values of A, B and C in this statement?

 

 

5  +  5  =  A  =  B C
6 6 6 6
CORRECT ANSWER

Column A

Column B

A
10
B
1
C
4
EDDIE SAYS
5  +  5  =  10  =  1 4
6 6 6 6
Take a deep breath, you've got this!
  • Question 6

What are the values of A, B and C in this statement?

 

 

8  +  7  =  A  =  B C
9 9 9 9

 

 

 

Tim states that;

A is 15.

B is 1.

and C is 6.

 

Is Tim correct or incorrect?

CORRECT ANSWER
Correct
EDDIE SAYS
8  +  7  =  15  =  1 6
9 9 9 9
  • Question 7

What are the values of A, B and C in this statement?

 

 

6  +  4  =  A  =  B C
7 7 7 7
CORRECT ANSWER

Column A

Column B

A
10
B
1
C
3
EDDIE SAYS
6  +  4  =  10  =  1 3
7 7 7 7
Did this match your own workings out?
  • Question 8

What are the values of A, B and C in this statement?

 

 

3  +  4  =  A  =  1 B
5 5 5 C
CORRECT ANSWER

Column A

Column B

A
7
B
2
C
5
EDDIE SAYS
3  +  4  =  7  =  1 2
5 5 5 5
Phew, that was a challenge! One last push you've almost completed this.
  • Question 9

What are the values of A, B and C in this statement?

 

 

3  +  4  =  A  =  1 B
6 6 6 C
CORRECT ANSWER
EDDIE SAYS
3  +  4  =  7  =  1 1
6 6 6 6
Did you read the question carefully? You've mastered this, one last question to attempt!
  • Question 10

What are the values of A, B and C in this statement?

 

 

5  +  6  =  A  =  1 B
7 7 7 C

 

 

 

(Write your answer in numerical form.)

CORRECT ANSWER
EDDIE SAYS
5  +  6  =  11  =  1 4
7 7 7 7
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