- NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.1
- NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.2
- NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.3
- NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.4
- NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.5
- NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.6
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.(c) Show 2/6, 4/6, 8/6 and 6/6 on the number line. Put appropriate signs between the fractions given.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiOQ4M-g1TAAAmor4dZcTJjQAFJtR_Yt5AhicU4-nlqxyvPz1Y_vSKOQm-w2xWorphAv8KpgswkixCZQKH83RTjM_4d8TNj11Sxnzqp6iaMHOzJ-FDBiUzbWCbmU3oR7nBKqIA7uj2QhccJarmDQxOG5RscHtuG5Dea49o043v_jyFjbaDCd922xDB21gU/s1600/Class_6_Maths_Ex_7.4_Q1_2.png)
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.
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.![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi04QAdsWxJjkL2W-HdkyTJbKlDfvjGOqhS-7otO3sYEJXRfrAczLhfI4DXhFYU5jufgWThMBZ4mpr4C7wjB8glvGX6RbfCzC7PqKw8CS6HK0zTRDuFHzfuJMhYQyx6jL0RE0Yb03A-ZKxkUp7FniW2RNGat2pXjVkWG5_k6jTiWXxpRtpCxG00ECZANd8/s1600/Class_6_Maths_Ex_7.4_Q2_1.png)
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.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:
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.
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
∴ Fraction of students getting with 60% or more marks
Comparing the two fractions, we have 4/5 = 4/5
Hence, both the class A and B have the same fractions of students getting with 60% or more marks.
Related Links:
NCERT Solutions for Maths Class 7
NCERT Solutions for Maths Class 8
NCERT Solutions for Maths Class 9
NCERT Solutions for Maths Class 10