Fractions Class 6 Ex. 7.4
New Ncert Class 6, Chapter 7 Math Free Solution.
Exercise 7.4
Question 1 :- Write shaded portion as fraction. Arrange them in ascending; in descending order using correct sign ‘<‘, ‘=’, ‘>’ between the fractions.
(a) 
(b) 
(c) Show 2/6; 4/6; 8/6; and 6/6; on the number line. Put appropriate-sign between the fractions given.
Solution 1:-
(a) (i)Total number of divisions = 8
Number of shaded parts = 3
∴ Fraction = 3/8
(ii) Total number of divisions = 8
Number of shaded parts = 6
∴ Fraction = 6/8
(iii) Total number of divisions = 8
Number of shaded parts = 4
∴ Fraction = 4/8
(iv) Total number of divisions = 8
Number of shaded part = 1
∴ Fraction = 1/8
Now the fractions are :- 3/8, 6/8, 4/8 and 1/8 with same denominator.
(b)(i) Total number of divisions = 9
Number of shaded parts = 8
∴ Fraction = 8/9
(ii) Total number of divisions = 9
Number of shaded parts = 4
∴ Fraction = 4/9
(iii) Total number of divisions = 9
Number of shaded parts = 3
∴ Fraction = 3/9
(iv) Total number of divisions = 9
Number of shaded parts = 6
∴ Fraction = 6/9
So, fraction are 8/9, 4/9, 3/9, 6/9 with same denominator.
(c) 
Question 2 :- Compare fractions and put an appropriate sign.
Solution 2 :-
(a) Here, denominators of the two fractions are same and 3 < 5.
(b) Here, numerators of the fractions are same and 7 < 4.
(c) Here, denominators of the two fractions are same and 4 < 5.
(d) Here, numerators of the two fractions are same and 5 > 7.
Question 3 :- Make five; more such pairs and put appropriate sign.
Solution 3:-
Question 4 :- Look at the figures and write ’<’, or ’>’ ’=’ between the given pair of fractions.
Make five; more such-problems and solve them with your friends.
Solution 4 :-
Answer :- Make five-problems and solve them with your friends.
Question 5 :- How-quickly can you do this? Fill appropriate sign. (‘<‘, ‘=’, ‘>’).
Solution 5:-
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.
(a) 2/12;
(b) 3/15;
(c) 8/50;
(d) 16/100;
(e) 10/60;
(f) 15/75;
(g) 12/60;
(h) 16/96;
(i) 12/75;
(j) 12/72;
(k) 3/18;
(l) 4/25;
Solution 6:-
Grouping the above fractions into equivalent fractions :-
I Group 1/5:- (b), (f), (g).
II Group 1/6:- (a), (e), (h), (j), (k).
III Group 4/25:- (c), (d), (i), (l).
Question 7 :- Find answers to the following. Write and indicate how you solved them.
(a) Is 5/9 equal to 4/5 ?
(b) Is 9/16 equal to 5/9?
(c) Is 4/5 equal to 16/20 ?
(d) Is 1/15 equal to 4/30?
Solution 7:-
(a) 5/9 and 4/5
[ Since, L.C.M 9 and 5 is 45]
(b) 9/16 and 5/9
[Since, L.C.M 16 and 9 is 144]
(c) 4/5 and 16/20
[Since, L.C.M of 5 and 20 is 100]
80/100 = 80/100
4/5 = 16/20.
(d) 1/15 and 4/30
Question 8 :- Ila read 25 pages of a book containing 100 pages. Lalita read 2/5 of the same book. Who read less?
Solution 8:-
Out of 100 pages, Ila reads 25 of them.
Fraction of pages 25/100 = 1/4
Lalita reads 2/5 of the same book.
2/5 = (2×20)/(5×20) = 40/100
Since 1/4 < 2/5
So, Ila reads less pages.
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 9:-
Rafiq exercised for 3/6 of an hour.
Rohit exercised for 3/4 of an hour.
Comparing 3/6 and 3/4 , we get
3×2/6×2 = 6/12 and
3×3/4×3 = 9/12
Since 6 < 9
∴ 3/4 > 3/6
Hence Rohit exercised for longer time.
Question 10 :- In a class A of 25 students, 20 passed with 60%, 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 10:-
In class A, 20 students passed with 60% or more marks out of 25 students.
∴ Fraction of students getting 60% or more marks = 20/25 = 4/5
In class B, 24 students passed with 60% or more marks out of 30 students.
∴ Fraction of students getting 60% or more marks = 24/30 = 4/5
Comparing the two fractions, we get 4/5 = 4/5
As a result, the fractions for classes A and B are identical.
Chapter 7 Fractions Class 6 Exercise. 7.4 for Free