NCERT Solutions Class 6 Maths
Chapter – 7 (Fractions)
The NCERT Solutions in English Language for Class 6 Mathematics Chapter – 7 Fractions Exercise 7.4 has been provided here to help the students in solving the questions from this exercise.
Chapter 7: Fractions
- NCERT Solution Class 6 Maths Exercise – 7.1
- NCERT Solution Class 6 Maths Exercise – 7.2
- NCERT Solution Class 6 Maths Exercise – 7.3
- NCERT Solution Class 6 Maths Exercise – 7.5
- NCERT Solution Class 6 Maths Exercise – 7.6
Exercise – 7.4
1. Write shaded portion as a fraction. Arrange them in ascending and descending order using correct sign ‘<‘, ‘=’, ‘>’ between the fraction:
(a) 
(b) 
(c) Show on the number line. Put appropriate signs between the fractions given.
Solutions:
(a) 
(i) In ascending order, these are
(ii) In descending order, these are
(b) 
(i) In ascending order, these are
(ii) In descending order, these are
(c) Each unit length should be divided into 6 equal parts to represent the fractions ,
,
and
on number line. These fractions can be represented as follows:
2. Compare the fractions and put an appropriate sign.
Solution :
3. Make five more such pairs and make appropriate signs.
Solution :
First Pair
Second Pair
Third Pair
Forth Pair
Fifth Pair
4. Look at the figures and write ‘<’ or ‘>’, ‘=’ between the pairs of fractions.
Make five more such problems and solve them with your friends.
Solution:
Five more problems
Solution:
5. How quickly can you do this? Fill appropriate sign (<, =,>)
Solution
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
7. Find answers to the following. Write and indicate how you solved them.
Solution:
(a) We have and
and
Since, and
are not equal. Hence,
and
are not equal.
(b) We have and
and
Since, and
are not equal. Hence,
and
are not equal.
(c) We have and
and
Since, and
are equal. Hence,
and
are equal.
(d) We have and
and
Since, and
are not equal. Hence,
and
are not equal.
8. Ila reads 25 pages of a book containing 100 pages. Lalita reads of the same book. Who read less?
Solution:
Total pages in the book = 100
Pages read by Ila = 25
Fraction of pages read by Ila = =
Fraction of pages read by Lalita =
9. Rafiq exercised for of an hour, while 6 Rohit exercised for
of an hour. Who exercised for a longer time?
Solution :
Fraction of an hour exercised by Rafiq =
Fraction of hour exercised by Rohit =
10. In class A of 25 students, 20 passed in first class; in another class B of 30 students, 24 passed in first class. In which class was a greater fraction of students getting first class?
Solution :
Total students in class A = 25
Number of students passed in class A = 20
fraction of students passed in class A = =
Total students in class B = 30
Number of students passed in class B = 24
Fraction of students passed in class B = =
Therefore, each class has same fraction of passed students.
