NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.4

NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.4 are the part of NCERT Solutions for Class 6 Maths (Rationalised Contents). Here you can find the NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.4.

NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.4 (Rationalised Contents)

Ex 7.4 Class 6 Maths Question 1.

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

Solution:
(a) Total number of divisions = 8
(i) Number of shaded parts = 3
∴ Fraction of shaded parts = 3/8

(ii) Total number of divisions = 8
Number of shaded parts = 6
∴ Fraction of shaded parts = 6/8

(iii) Total number of divisions = 8
Number of shaded parts = 4
∴ Fraction of shaded parts = 4/8

(iv) Total number of divisions = 8
Number of shaded part = 1
∴ Fraction of shaded parts = 1/8
Now the fractions are: 3/8, 6/8, 4/8 and 1/8

These fractions are with the same denominator.

(b)(i) Total number of divisions = 9
Number of shaded parts = 8
∴ Fraction of shaded parts = 8/9
(ii) Total number of divisions = 9
Number of shaded parts = 4
∴ Fraction of shaded parts = 4/9
(iii) Total number of divisions = 9
Number of shaded parts = 3
∴ Fraction of shaded parts = 3/9
(iv) Total number of divisions = 9
Number of shaded parts = 6
∴ Fraction of shaded parts = 6/9
∴ Fractions are: 8/9, 4/9, 3/9, 6/9

These fractions are with the same denominator.

Ex 7.4 Class 6 Maths Question 2.

Compare the fractions and put an appropriate sign.

Solution:

Here, the denominators of the two fractions are equal and 3 < 5.

Here, the numerators of the two fractions are equal and 7 > 4.

Here, the denominators of the two fractions are equal and 4 < 5.

Here, the numerators of the two fractions are equal and 5 < 7.

Ex 7.4 Class 6 Maths Question 3.

Make five more such pairs and put appropriate signs.

Solution:

Ex 7.4 Class 6 Maths Question 4.

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

Make five more such problems and solve them with your friends.

Solution:

Make five more such problems yourself and solve them with your friends.

Ex 7.4 Class 6 Maths Question 5.

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

Solution:

Ex 7.4 Class 6 Maths Question 6.

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

Solution:
Now, grouping the above fractions into equivalent fractions, we have

Ex 7.4 Class 6 Maths Question 7.

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

Solution:

By cross-multiplication, we have
5 × 5 = 25 and 4 × 9 = 36
Since 25 ≠ 36

By cross-multiplication, we have
9 × 9 = 81 and 16 × 5 = 80
Since 81 ≠ 80

By cross-multiplication, we have
4 × 20 = 80 and 5 × 16 = 80
Since 80 = 80

By cross-multiplication, we have
1 × 30 = 30 and 4 × 15 = 60

Ex 7.4 Class 6 Maths Question 8.

Ila read 25 pages of a book containing 100 pages. Lalita read 2/5 of the same book. Who read less?

Solution:
Ila read 25 pages out of 100 pages.

Lalita read 2/5 of the same book.
Comparing 1/4 and 2/5, we have
1 × 5 = 5 and 2 × 4 = 8
Since 5 < 8
∴ 1/4 < 2/5
Hence, Ila read less pages.

Ex 7.4 Class 6 Maths Question 9.

Rafiq exercised for 3/6 of an hour, while Rohit exercised for 3/4 of an hour. Who exercised for a longer time?

Solution:
Rafiq exercised for 3/6 of an hour.
Rohit exercised for 3/4 of an hour.
Comparing 3/6 and 3/4, we have
3 × 4 = 12 and 3 × 6 = 18
Since 12 < 18
∴ 3/4 > 3/6
Hence, Rohit exercised for a longer time.

Ex 7.4 Class 6 Maths Question 10.

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?

Solution:
In class A, 20 students passed with 60% or more marks out of 25 students.
∴ Fraction of students getting with 60% or more marks