**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**