NCERT Solutions For Class 6 Maths Fractions Exercise 7.3

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NCERT Solutions For Class 6 Maths Fractions Exercise 7.3

NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.3

Exercise 7.3

Question 1.
Write the fractions. Are all these fractions equivalent?
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Solution:
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Since all the fractions in their simplest form are not equal.
∴ They are not equivalent fractions.

Question 2.
Write the fractions and pair up the equivalent fractions from each row.
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Solution:
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
The following pairs fractions:represent the equivalent fractions.
(a) and (ii) = \frac { 1 }{ 2 }
(b) and (iv) = \frac { 2 }{ 3 }
(c) and (i) = \frac { 1 }{ 3 }
(d) and (v) = \frac { 1 }{ 4 }
(e) and (iii) = \frac { 3 }{ 4 }

Question 3.
Replace NCERT Solutions for Class 6 Maths Chapter 7 Fractions in each of the following by the correct number:
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Solution:
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
NCERT Solutions for Class 6 Maths Chapter 7 Fractions

Question 4.
Find the equivalent fraction of \frac { 3 }{ 5 }having
(a) denominator 20
(b) numerator 9
(c) denominator 30
(d) numerator 27
Solution:
(a) Here, we require denominator 20.
Let N be the numerator of the fractions.
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
∴ The required fraction is \frac { 12 }{ 20 }

(b) Here, we required numerator 9.
Let D be the denominator of the fraction.
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
∴ The required fraction is \frac { 9 }{ 15 }.

(c) Here, we required denominator 30.
Let N be the numerator of the fraction.
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
∴ The required fraction is \frac { 18 }{ 30 }.

(d) Here, we required numerator 27.
Let D be the denominator of the fraction.
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
∴ The required fraction is \frac { 27 }{ 45 }.

Question 5.
Find the equivalent fraction of \frac { 36 }{ 48 }with
(a) numerator 9
(b) denominator 4
Solution:
(a) Given that numerator = 9
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
So, the equivalent fraction is \frac { 9 }{ 12 }.

(b) Given that denominator = 4
\frac { N }{ 4 }= \frac { 36 }{ 48 }⇒ N x 48 = 4 x 36
⇒ N = \frac { 4 x 36 }{ 48 }= 3
So, the equivalent fraction is \frac { 3 }{ 4 }.

Question 6.
Check whether the given fractions are equivalent:
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Solution:
(a) \frac { 5 }{ 9 }and \frac { 30 }{ 54 }
We have 5 x 54 = 270
and 9 x 30 = 270
Here 5 x 54 = 9 x 30
\frac { 5 }{ 9 }and \frac { 30 }{ 54 }are equivalent fractions.

(b) \frac { 3 }{ 10 }and \frac { 12 }{ 50 }
We have 3 x 50 = 150
and 10 x 12 = 120
Here 3 x 50 ≠ 10 x 12
\frac { 3 }{ 10 }and \frac { 12 }{ 50 }are not equivalent fractions.

(c) \frac { 7 }{ 13 }and \frac { 5 }{ 11 }
We have 7 x 11 = 77 and 5 x 13 = 65
Here 7 x 11 ≠ 5 x 13
\frac { 7 }{ 13 }and \frac { 5 }{ 11 }are not equivalent fractions.

Question 7.
Reduce the following fractions to simplest form:
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Solution:
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
NCERT Solutions for Class 6 Maths Chapter 7 Fractions

Question 8.
Ramesh had 28 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.
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Sheelu used up 25 pencils out of 50 pencils.
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Jamaal used up 40 pencils out of 80 pencils.
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Yes, each has used up an equal fractions, i.e., \frac { 1 }{ 2 }.

Question 9.
Match the equivalent fractions and write two more for each.
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Solution:
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Two additional examples of equivalent fractions are
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Two additional examples of equivalent fractions are
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Two additional examples of equivalent fractions are
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Two additional examples of equivalent fractions are
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Two additional examples of equivalent fractions are
NCERT Solutions for Class 6 Maths Chapter 7 Fractions

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