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Chapter 7: Fractions > Exercise 7.4

Exercise 7.4

1. Write shaded portion as fraction.

Arrange them in ascending and descending order using correct sign ‘<’, ‘=’, ‘>’ between the fractions.

Ascending order:

1/8
4/8
3/8
6/8

Descending order:

3/8
1/8
6/8
4/8

b. Write shaded portion as fraction.

Arrange them in ascending and descending order using correct sign ‘<’, ‘=’, ‘>’ between the fractions.

Ascending order:

4/9
8/9
3/9
6/9

Descending order:

4/9
8/9
3/9
6/9

Show 26 , 46 , 86 and 66 on the number line.

The numbers lie between to on the numberline when it is divided into equal parts.

Put appropriate signs between the fractions given.

(a) 56 26

(b) 36 0

(c) 16 66

(d) 86 56

Compare the fractions and put an appropriate sign.

(a) 36 [] 56

Denominator of the two fractions are and 3 5.

36 56

(b) 17 [] 14

Numerators of the two fractions are and 7 4.

17 14

(c) 45 [] 55

Denominators of the two fractions are and 4 5.

45 55

(d) 35 [] 37

Numerators of the two fractions are and 5 7.

35 37

Make five more such pairs and put appropriate signs.

(a) 27 211

(b) 68 38

(c) 49 39

(d) 19 59

(e) 410 610

Look at the figures and write ‘<’ or ‘>’, ‘=’ between the given pairs of fractions.

Solution:

(a) 16 13

(b) 34 26

(c) 23 24

(d) 66 33

(e) 56 55

How quickly can you do this? Fill appropriate sign. ( ‘<’, ‘=’, ‘>’).

(a) 12 15

(b) 24 36

(c) 35 23

(d) 34 28

(e) 35 65

(f) 79 39

(g) 14 28

(h) 610 45

(i) 34 78

(j) 610 35

(k) 57 1521

The following fractions represent just three different numbers. Separate them into three groups of equivalent fractions, by changing each one to its simplest form.

2/12
3/15
8/50
16/100
10/60
15/75
12/60
16/96
12/75
12/72
3/18
4/25
1/5
1/6
4/25

Find answers to the following. Write and indicate how you solved them.

Ila read 25 pages of a book containing 100 pages. Lalita read25of the same book. Who read less?

Given: The total number of pages in the book = pages.
Number of pages Ila reads = pages.
Number of pages Lalita reads = 25 x = 2 x = pages.
Hence, Ila read number of pages than Lalita.

Rafiq exercised for 36 of an hour, while Rohit exercised for 34 of an hour. Who exercised for a longer time?

Instruction

Rafiq exercised for of an hour.
Comparing 36 and 34 , we get: 34 × minutes = and 36 × minutes = minutes
Thus, exercised for a longer time.

In a class A of 25 students, 20 passed with 60% or more marks; in another class B of 30 students, 24 passed with 60% or more marks. In which class was a greater fraction of students getting with 60% or more marks?

Instruction

In class A, students passed in first class out of students.
Fraction of students getting first class = = =
In class B, students passed in first class out of students.
Fraction of students getting first class = = =
Comparing the two fractions, we get 45 45
Hence, both the class A and B have the same fractions.