Solved Examples and Worksheet for Comparing Fractions-Like Denominators
Q1
Which of the symbols best fits in the blank?
2
3
__
4
3
A
.
<
B
.
>
C
. =
D
. I don′t know.
Solutions
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Step: 1
2
3
__
4
3
[Original expression.]
Step: 2
Since the denominators of both the fractions are equal, compare the numerators.
Step: 3
As 2
<
4,
2
3
<
4
3
.
Correct Answer is :
<
Q2
Which of the symbols best fits in the blank?
7
6
__
7
6
A
. >
B
. =
C
. <
D
. None of the above
Solutions
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Step: 1
7
6
__
7
6
[Original expression.]
Step: 2
Since the denominators of both fractions are equal, compare the numerators.
Step: 3
As numerators of both the fractions are equal,
7
6
=
7
6
.
Correct Answer is :
=
Q3
Choose the appropriate symbol that best compares the fractions.
9
11
__
10
11
A
. <
B
. >
C
. =
D
. +
Solutions
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Step: 1
9
11
__
10
11
[Original expression.]
Step: 2
Since the denominators are equal, compare the numerators.
Step: 3
As 9 < 10,
9
11
<
10
11
.
Correct Answer is :
<
Q4
Which of the given symbols can be used to compare the fractions?
4
5
__
3
5
A
. >
B
. +
C
. =
D
. <
Solutions
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Step: 1
4
5
__
3
5
[Original expression.]
Step: 2
Since the denominators are equal, compare the numerators.
Step: 3
As 4 > 3,
4
5
>
3
5
.
Correct Answer is :
>
Q5
Tommy ate
2
7
of a chocolate pie and Zelma ate
5
7
of it. Which statement is true for this situation?
A
. Zelma ate less than Tommy
B
. Tommy ate more than Zelma
C
. Zelma ate more than Tommy
D
. Tommy and Zelma ate equally
Solutions
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Step: 1
Suppose the pie is cut into 7 pieces.
Step: 2
Tommy ate 2 part out of 7 and Zelma ate 5 parts out of 7.
Step: 3
So, Zelma ate more of the pie than Tommy.
Correct Answer is :
Zelma ate more than Tommy
Q6
Choose an appropriate symbol to compare the fractions.
3
2
1
2
A
. <
B
. +
C
. =
D
. >
Solutions
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Step: 1
3
2
,
1
2
[Given fractions.]
Step: 2
Since the denominators are same, compare the numerators.
Step: 3
As 3 > 1,
3
2
>
1
2
.
Correct Answer is :
>
Q7
Which of the symbols is used to compare the given fractions?
1
3
2
3
A
. +
B
. <
C
. =
D
. >
Solutions
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Step: 1
1
3
,
2
3
[Given fractions.]
Step: 2
Since the denominators are same, compare the numerators.
Step: 3
As 1 < 2,
1
3
<
2
3
.
Correct Answer is :
<
Q8
Identify a symbol that compares the fractions
4
7
and
5
7
.
A
. <
B
. >
C
. +
D
. =
Solutions
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Step: 1
4
7
,
5
7
[Given fractions.]
Step: 2
Since the denominators are same, compare the numerators.
Step: 3
As 4 < 5,
4
7
<
5
7
.
Correct Answer is :
<
Q9
Which of the given figures shows greater than
4
6
of the figures is shaded?
A
. Figure 3
B
. Figure 2
C
. Figure 4
D
. Figure 1
Solutions
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Step: 1
Figure 1 represents
1
6
1
6
<
4
6
Step: 2
Figure 2 represents
4
6
4
6
=
4
6
Step: 3
Figure 3 represents
3
6
3
6
<
4
6
Step: 4
Figure 4 represents
5
6
5
6
>
4
6
Step: 5
So, Figure 4 represents the fraction greater than
4
6
.
Correct Answer is :
Figure 4
Q10
Which of the following symbols is used to compare the fractions
5
6
and
1
6
?
A
. <
B
. =
C
. >
Solutions
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Step: 1
5
6
,
1
6
[Given fractions.]
Step: 2
Since the denominators are same, compare the numerators.
Step: 3
As 5 > 1,
5
6
>
1
6
.
Correct Answer is :
>
Q11
Choose an appropriate symbol to compare the fractions.
3
5
__
4
5
A
. >
B
. <
C
. =
D
. +
Solutions
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Step: 1
As the denominators are same on both sides, compare the numerators. The fraction having greater numerator is the greater fraction.
Step: 2
So,
3
5
<
4
5
.
Correct Answer is :
<
Q12
Which number sentence compares the two fractions that the models represent?
A
.
4
8
<
5
8
B
.
8
4
<
8
5
C
.
4
8
>
5
8
D
.
4
8
=
5
8
Solutions
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Step: 1
The first model represents the fraction
4
8
and the second model represents
5
8
.
[Because, in the first model, 4 out of 8 parts are shaded and in the second model, 5 out of 8 parts are shaded.]
Step: 2
Look at the shaded areas. The shaded area of the second model is larger than the first model. So,
4
8
<
5
8
.
Correct Answer is :
4
8
<
5
8
Related Worksheet
Expressing whole numbers as fractions and vice-versa-Gr 3-Solved Examples
Fractions as part of a unit Wholes-Gr 3-Solved Examples
Representing Fractions on a Number Line-Gr 3-Solved Examples
Equivalent Fractions-Gr 3-Solved Examples
Constructing Models of Equivalent Fractions-Gr 3-Solved Examples
Related Topic
Common Denominator
Denominator
Fraction
Like Fractions
HighSchool Math
Grade 3
Grade 4
Grade 5