### NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.4

**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 2/4 , 4/6, 8/6 and 6/6 on the number line. Put appropriate signs between the fractions given.**

**Solution:**

(a) Total number of divisions = 8

(i) 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

∴ Fractions are 8/ 9, 4/9, 3/9, 6/9 with same denominator.

**Ex 7.4 Class 6 Maths Question 2.**

**Compare the fractions and put an appropriate sign.**

**Solution:**

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

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

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

Here, numerators of the two fractions are same 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-multiplying, we get

5 x 5 = 25 and 4 x 9 = 36

Since 25 ≠ 36

By cross-multiplying, we get

9 x 9 = 81 and 16 x 5 =80

Since 81 ≠ 80

By cross-multiplying, we get

4 x 20 = 80 and 5 x 16 = 80

Since 80 = 80

By cross-multiplying, we get

1 x 30 = 30 and 4 x 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 reads 25 pages out of 100 pages.

Lalita reads 2/5 of the same book.

Comparing 1/4 and 2/5 , we get

1 x 5 = 5 and 2 x 4 = 8

Since 5 < 8

∴ 1/4 < 2/5

Hence Ila reads 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 = 3/6of an hour.

Rohit exercised for 3/4 of an hour.

Comparing 3/6 and 3/4 , we get

3 x 4 = 12 and 3 x 6 = 18

Since 12 < 18

∴ 3/4 > 3/6

Hence Rohit exercised for longer time.

**Ex 7.4 Class 6 Maths Question 10.**

**In a 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:**

In class A, 20 students passed in first class out of 25 students.

∴ Fraction of students getting first class

In class B, 24 students passed in first class out of 30 students.

∴ Fraction of students getting first class

Comparing the two fractions, we get 4/5 = 4/5

Hence, both the class A and B have the same fractions.