NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.3

NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.3 are the part of NCERT Solutions for Class 6 Maths (Rationalised Contents). Here you can find the NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.3.

NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.3 (Rationalised Contents)

Ex 7.3 Class 6 Maths Question 1.

Write the fractions. Are all these fractions equivalent?

Solution:

After converting all the fractions in their simplest form, they are not equal.
∴ They are not equivalent fractions.

Ex 7.3 Class 6 Maths Question 2.

Write the fractions and pair up the equivalent fractions from each row.

Solution:

The following pairs of fractions represent the equivalent fractions.
(a) ↔ (ii) = 1/2
(b) ↔ (iv) = 2/3
(c) ↔ (i) = 1/3
(d) ↔ (v) = 1/4
(e) ↔ (iii) = 3/4

Ex 7.3 Class 6 Maths Question 3.

Replace boxes in each of the following by the correct number:

Solution:

Ex 7.3 Class 6 Maths Question 4.

Find the equivalent fraction of 3/5 having
(a) denominator 20
(b) numerator 9
(c) denominator 30
(d) numerator 27

Solution:
(a) Here, we need denominator 20.
Let N be the numerator of the fraction.

∴ The required equivalent fraction is 12/20.

(b) Here, we need numerator 9.
Let D be the denominator of the fraction.

∴ The required equivalent fraction is 9/15.

∴ The required equivalent fraction is 18/30.

(d) Here, we need numerator 27.
Let D be the denominator of the fraction.

∴ The required equivalent fraction is 27/45.

Ex 7.3 Class 6 Maths Question 5.

Find the equivalent fraction of 36/48 with
(a) numerator 9
(b) denominator 4

Solution:
(a) Given: Numerator of the equivalent fraction = 9

Let D be the denominator of the required fraction.

So, the equivalent fraction is 9/12.

(b) Given: Denominator of the equivalent fraction = 4

Let N be the numerator of the required fraction.
∴ N/4 = 36/48 ⇒ N × 48 = 4 × 36
⇒ N = (4 × 36)/48 = 3
So, the equivalent fraction is 3/4.

Ex 7.3 Class 6 Maths Question 6.

Check whether the given fractions are equivalent:

Solution:
(a) 5/9 and 30/54
Using cross-multiplication, 5 × 54 = 270
and 9 × 30 = 270
Here, 5 × 54 = 9 × 30
∴ 5/9 and 30/54 are equivalent fractions.

(b) 3/10 and 12/50
Using cross-multiplication, 3 × 50 = 150
and 10 × 12 = 120
Here, 3 × 50 ≠ 10 × 12
∴ 3/10 and 12/50 are not equivalent fractions.

(c) 7/13 and 5/11
Using cross-multiplication, 7 × 11 = 77 and 5 × 13 = 65
Here, 7 × 11 ≠ 5 × 13
∴ 7/13 and 5/11 are not equivalent fractions.

Ex 7.3 Class 6 Maths Question 7.

Reduce the following fractions to simplest form:

Solution:

Ex 7.3 Class 6 Maths Question 8.

Ramesh had 20 pencils, Sheelu had 50 pencils and Jamaal had 80 pencils. After 4 months, Ramesh used up 10 pencils, Sheelu used up 25 pencils and Jamaal used up 40 pencils. What fraction did each use up? Check if each has used up an equal fraction of her/his pencils.

Solution:
Ramesh used up 10 pencils out of 20 pencils.