Solved Examples and Worksheet for Equivalent Fractions

Q1Which one of the following fractions is not equivalent to all the other fractions 12, 24, 28, 48 ?

A. 48
B. 28
C. 12
D. 24

Solutions
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Step: 1
Representing all the given fractions on number line as shown below.
Step: 2
Equivalent fractions lie on the same location between 0 and 1.
Step: 3
12, 24 and 48 are equivalent fractions.
Step: 4
Therefore the fraction not equivalent to all other fractions is 28.
Correct Answer is :   28
Q2Which fraction is equivalent to 24?
A. 17
B. 510
C. 26
D. 25

Solutions
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Step: 1
Represent the given fraction 24 and the fractions from choices 510, 26, 25, 17 on a number line as shown below.
Step: 2
Equivalent fractions lie on the same location.
Step: 3
From the below figure, we observed that the fractions 24 and 510 are on the same location between 0 and 1.
Step: 4
Therefore, the fraction 510 is equivalent to 24.
Correct Answer is :   510
Q3Which fraction is equivalent to 312 ?
A. 412
B. 24
C. 15
D. 14

Solutions
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Step: 1
Representing the given fraction 312 and the fractions from choices 14, 412, 15, 24 on a number line as below.
Step: 2
Equivalent fractions lie on the same location.
Step: 3
From the below figure, we observed that the fractions 312 and 14 lie on the same location between 0 and 1.
Step: 4
Therefore, the fraction 14 is equivalent to 312.
Correct Answer is :   14
Q4Which fraction is equivalent to 56?

A. 35
B. 23
C. 1012
D. 612

Solutions
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Step: 1
Representing the given fraction 56 and the fractions from choices 56, 1012, 35,23 on number line as below.
Step: 2
Equivalent fractions lie on the same location between 0 and 1.
Step: 3
56 and 1012 are at same location between 0 and 1.
Step: 4
So 1012 is the fraction equivalent to 56.
Correct Answer is :   1012
Q5Which of the fractions are equivalent among 56 , 46 and 69 ?

A. 56 and 46
B. 56, 46 and 69
C. 56 and 69
D. 46 and 69

Solutions
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Step: 1
Representing the given fractions on number line as shown below.
Step: 2
Marking the lengths of fractions from 0 as shown below.
Step: 3
46 and 69 have same lengths.
Step: 4
Therefore 46 and 69 are equivalent.
Correct Answer is :   46 and 69
Q6Which of the fractions are equivalent among 39, 13 and 28 ?

A. 39 and 13
B. 13 and 28
C. None
D. 39 and 28

Solutions
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Step: 1
Representing the given fractions on number line as shown below
Step: 2
Marking the lengths of fractions from 0 as shown below.
Step: 3
39 and 13 have same lengths.
Step: 4
So 39 and 13 are equivalent fractions.
Correct Answer is :   39 and 13
Q7Which of the fractions are equivalent among 24 , 410 and 612 ?

A. None
B. 410 and 612
C. 24 and 612
D. 24 and 410

Solutions
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Step: 1
Representing the given fractions on number line as shown below.
Step: 2
Marking the lengths of fractions from 0 as shown below.
Step: 3
The fractions 24 and 612 have the same lengths.
Step: 4
So 24 and 612 are equivalent fractions.
Correct Answer is :   24 and 612
Q8Identify the equivalent fractions among 210, 39, 412, and 28.

A. 210 and 39
B. 210 and 28
C. 39 and 412
D. 39 and 28

Solutions
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Step: 1
Representing the given fractions on number line as shown below.
Step: 2
Marking the lengths of fractions from 0 as shown below.
Step: 3
The fractions 39 and 412 have the same lengths.
Step: 4
So 39 and 412 are equivalent.
Correct Answer is :   39 and 412
Q9Identify the equivalent fractions among 39 , 312 , 15 and 14.
A. 39and 312
B. 39, 312 and 15
C. 312and 14
D. 39, 15 and 14

Solutions
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Step: 1
Representing the given fractions on number line as shown below.
Step: 2
Marking the lengths of fractions from 0 as shown below.
Step: 3
The fractions 312 and 14 have the same lengths.
Step: 4
So 312 and 14 are equivalent.
Correct Answer is :   312and 14
Q10What fraction has numerator 3 and is equivalent to 26 ?

A. 25
B. 35
C. 45
D. 39

Solutions
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Step: 1
Among the given choices the fractions with numerator 3 are 35 and 39.
Step: 2
Representing the given fraction 26 and fractions with numerator 3 on number line as shown below.
Step: 3
Marking the lengths of fractions from 0 as shown below.
Step: 4
The fractions 26 and 39 have same lengths.
Step: 5
Therefore the fraction with numerator 3 and equivalent to 26 is 39.
Correct Answer is :   39
Q11What fraction has numerator 5 and equivalent to 1012 ?

A. 45
B. 59
C. 25
D. 56

Solutions
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Step: 1
Among the given choices the fractions with numerator 5 are 56 and 59.
Step: 2
Representing the given fraction 10/12 and fractions with numerator 5 on number line as shown below.
Step: 3
Marking the lengths of fractions from 0 as shown below.
Step: 4
Fractions 1012 and 56have same lengths.
Step: 5
Therefore the fraction with numerator 5 and equivalent to 1012 is 56.
Correct Answer is :   59
Q12What fraction has denominator 10 and equivalent to 48 ?

A. 510
B. 1012
C. 410
D. None

Solutions
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Step: 1
Among the given choices the fractions with denominator 10 are 510 and 410.
Step: 2
Representing the given fraction 48 and the fractions with denominator 10 on number line as shown below.
Step: 3
Marking the lengths of fractions from 0 as shown below.
Step: 4
Fractions 48 and 510 have same lengths.
Step: 5
Therefore the fraction with denominator 10 and equivalent to 48 is 510.
Correct Answer is :   510
Q13What fraction has denominator 5 and equivalent to 410 ?
A. 57
B. 25
C. 56
D. 45

Solutions
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Step: 1
Among the given choices the fractions with denominator 5 are 45 and 25.
Step: 2
Representing the given fraction 410 and the fractions with denominator 5 on number line as shown below.
Step: 3
Marking the lengths of fractions from 0 as shown below.
Step: 4
Fractions 410 and 25 have same lengths.
Step: 5
Therefore the fraction with denominator 5 and equivalent to 410 and 25.
Correct Answer is :   25
Q14The point on the number line shows the fraction 612. Which of the number line has the fraction equivalent to 612?

A. Line A
B. Line D
C. Line B
D. Line C

Solutions
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Step: 1
Equivalent fractions lie on the same location between 0 and 1.
Step: 2

Step: 3
Therefore Line A has the fraction equivalent to 612.
Correct Answer is :   Line A
Q15The point on the number line shows the fraction 36. Which of the number line has the fraction equivalent to 36?


A. Line C
B. Line D
C. Line A
D. Line B

Solutions
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Step: 1
Equivalent fractions lie on the same location between 0 and 1.
Step: 2

Step: 3
Therefore Line B has the fraction equivalent to 36.
Correct Answer is :   Line B

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