Exercise 7.4 - Chapter 7 Fractions class 6 ncert solutions Maths - SaraNextGen [2024-2025]

Updated By SaraNextGen

On April 24, 2024, 11:35 AM

Question 1:

Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign ‘<’, ‘=’, ‘>’ between the fractions:

(a)

(b)

(c) Show  on the number line. Put appropriate signs between the fractions given.

Answer:

(a)

Here, 1^st circle represents 3 shaded parts out of 8 equal parts. Therefore, it represents a fraction  .

Here, 2nd circle represents 6 shaded parts out of 8 equal parts. Therefore, it represents a fraction  .

Here, 3rd circle represents 4 shaded parts out of 8 equal parts. Therefore, it represents a fraction  .

Here, 4^th circle represents 1 shaded part out of 8 equal parts. Therefore, it represents a fraction  .

Now, these fractions may be arranged as

(b)

Here, 1^st square represents 8 shaded parts out of 9 equal parts. Therefore, it represents a fraction .

Here, 2nd square represents 4 shaded parts out of 9 equal parts. Therefore, it represents a fraction  .

Here, 3rd square represents 3 shaded parts out of 9 equal parts. Therefore, it represents a fraction  .

Here, 4th square represents 6 shaded parts out of 9 equal parts. Therefore, it represents a fraction  .

Now, these fractions can be arranged as

(c) To represent the given fractions   on number line, each unit length should be divided in 6 equal parts. Now, these fractions can be represented as

Question 2:

Compare the fractions and put an appropriate sign.

(a)   (b) 

(c)   (d) 

Answer:

(a) 

Here, the denominators are same. Therefore, the fraction having the greater numerator will be greater.

(b) 

As 4 < 7,

(c) 

Here, the denominators are same. Therefore, the fraction having the greater numerator will be greater.

(d) 

Here, the numerators are same. Therefore, the fraction having lesser denominator will be greater.

Question 3:

Make five more such pairs and put appropriate sign.

Answer:

(i) 

Here, the denominators are same. Therefore, the fraction having the greater numerator will be greater.

(ii) 

Here, the denominators are same. Therefore, the fraction having the greater numerator will be greater.

(iii) 

Here, numerators are same. Therefore, the fraction having the lesser denominator will be greater.

(iv) 

Here, the denominators are same. Therefore, the fraction having the greater numerator will be greater.

(v) 

Here, the numerators are same. Therefore, the fraction having the lesser denominator will be greater.

Question 4:

Look at the figures and write ‘<’ or ‘>’, ‘=’ between the given pairs of fractions.

(a) 

(b) 

(c) 

(d) 

(e) 

Answer:

(a) Here, the numerators are same. Therefore, the fraction having the

lesser denominator will be greater.

Hence, 

(b) 

As the denominators of   are same, the fraction having the greater numerator will be greater.

Hence, 

(c) Here, the numerators are same. Therefore, the fraction having the lesser denominator will be greater.

Hence, 

(d) As   ,

(e) Here, the numerators are same. Therefore, the fraction having the lesser denominator will be greater.

Hence, 

Question 5:

How quickly can you do this? Fill appropriate sign (‘<’, ‘=’, ‘>’)

(a)   (b) 

(c)   (d) 

(e)   (f) 

(g)   (h) 

(i)   (j) 

(k) 

Answer:

(a) Here, the numerators are same. Therefore, the fraction having the

lesser denominator will be greater.

Hence, 

(b) 

Hence, 

(c) 

As the denominators of   are same, the fraction having the greater numerator will be greater.

Hence, 

(d) 

As the denominators of   are same, the fraction having the greater numerator will be greater.

Hence, 

(e) Here, the denominators are same. Therefore, the fraction having the greater numerator will be greater.

Hence, 

(f) Here, the denominators are same. Therefore, the fraction having the greater numerator will be greater.

Hence, 

(g) 

Hence, 

(h) 

As the denominators of   are same, the fraction having the greater numerator will be greater.

Hence, 

(i) 

As the denominators of   are same, the fraction having the greater numerator will be greater.

Hence, 

(j) 

As the denominators of   are same, the fraction having the greater numerator will be greater.

Hence, 

(k) 

Hence, 

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)   (b) 

(c)   (d) 

(e)   (f) 

(g)   (h) 

(i)   (j) 

(k)   (l) 

Answer:

(a) 

(b) 

(c) 

(d) 

(e) 

(f) 

(g) 

(h) 

(i) 

(j) 

(k) 

(l) 

There are 3 groups of equivalent fractions

 (a), (e), (h), (j), (k)

 (b), (f), (g)

(c), (d), (i), (l)

Question 7:

Find Answers to the following. Write and indicate how you solved them.

(a)   ? (b)  ?

(c)  ? (d)  ?

Answer:

(a) 

Converting these into like fractions,

Therefore, 

(b) 

Converting these into like fractions,

(c) 

Therefore, 

(d) 

Question 8:

Ila read 25 pages of a book containing 100 pages. Lalita read  of the same book. Who read less?

Answer:

Numbers of pages read by Lalita = = 40

Number of pages read by Ila = 25

Hence, Ila has read less number of pages.

Question 9:

Rafiq exercised for   of an hour, while Rohit exercised for  of an hour.

Who exercised for a longer time?

Answer:

Rafiq exercised for  and Rohit exercised for 

Converting these into like fractions,

Hence, Rohit exercised for a longer time.

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?

Answer:

Fraction of students of class A who passed in Ist class =  

Fraction of students of class B who passed in Ist class =

From both classes, an equal fraction of students passed in first class.