#### Solved Examples and Worksheet for Comparing Fractions-Like Denominators

Q1Which of the symbols best fits in the blank?
23 __ 43

A. <
B. >
C. =
D. I don′t know.

Step: 1
23 __ 43
[Original expression.]
Step: 2
Since the denominators of both the fractions are equal, compare the numerators.
Step: 3
As 2 < 4, 23 < 43.
Q2Which of the symbols best fits in the blank?
76 __ 76

A. >
B. =
C. <
D. None of the above

Step: 1
76 __ 76
[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, 76 = 76.
Q3Choose the appropriate symbol that best compares the fractions.
911 __ 1011

A. <
B. >
C. =
D. +

Step: 1
911 __ 1011
[Original expression.]
Step: 2
Since the denominators are equal, compare the numerators.
Step: 3
As 9 < 10, 911 < 1011 .
Q4Which of the given symbols can be used to compare the fractions?
45 __ 35

A. >
B. +
C. =
D. <

Step: 1
45 __ 35
[Original expression.]
Step: 2
Since the denominators are equal, compare the numerators.
Step: 3
As 4 > 3, 45 > 35 .
Q5Tommy ate 27 of a chocolate pie and Zelma ate 57 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

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
Q6Choose an appropriate symbol to compare the fractions.
32     12

A. <
B. +
C. =
D. >

Step: 1
32, 12
[Given fractions.]
Step: 2
Since the denominators are same, compare the numerators.
Step: 3
As 3 > 1, 32 > 12 .
Q7Which of the symbols is used to compare the given fractions?
13    23

A. +
B. <
C. =
D. >

Step: 1
13, 23
[Given fractions.]
Step: 2
Since the denominators are same, compare the numerators.
Step: 3
As 1 < 2, 13 < 23 .
Q8Identify a symbol that compares the fractions 47 and 57 .

A. <
B. >
C. +
D. =

Step: 1
47, 57
[Given fractions.]
Step: 2
Since the denominators are same, compare the numerators.
Step: 3
As 4 < 5, 47 < 57.
Q9Which of the given figures shows greater than 46 of the figures is shaded? A. Figure 3
B. Figure 2
C. Figure 4
D. Figure 1

Step: 1
Figure 1 represents 16
16 < 46
Step: 2
Figure 2 represents 46
46 = 46
Step: 3
Figure 3 represents 36
36 < 46
Step: 4
Figure 4 represents 56
56 > 46
Step: 5
So, Figure 4 represents the fraction greater than 46.
Correct Answer is :   Figure 4
Q10Which of the following symbols is used to compare the fractions 56 and 16?

A. <
B. =
C. >

Step: 1
56, 16
[Given fractions.]
Step: 2
Since the denominators are same, compare the numerators.
Step: 3
As 5 > 1, 56 > 16.
Q11Choose an appropriate symbol to compare the fractions.
35 __ 45

A. >
B. <
C. =
D. +

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, 35 < 45.
Q12Which number sentence compares the two fractions that the models represent? A. 48 < 58
B. 84 < 85
C. 48 > 58
D. 48 = 58

Step: 1
The first model represents the fraction 48 and the second model represents 58.
[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, 48 < 58.
Correct Answer is :   48 < 58