# Here we have given NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.1.

 Board CBSE Textbook NCERT Class Class 6 Subject Maths Chapter Chapter 7 Chapter Name Fractions Exercise Ex 7.1 Number of Questions Solved 11 Category NCERT Solutions

## NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.1

Ex 7.1 Class 6 Maths Question 1.
Write the fraction representing the shaded portion. Solution:
The fraction representing the shaded portion in the given diagram are as under: Ex 7.1 Class 6 Maths Question 2.
Colour the part according to the given fraction  Solution:
The figures are shaded as per indicated fraction shown against them. Ex 7.1 Class 6 Maths Question 3.
Identify the error, if any? Solution:
In all the figures, the shaded portions do not represent the given fractions.

Ex 7.1 Class 6 Maths Question 4.
What fraction of a day is 8 hours?
Solution:
Since, there are 24 hours in a day, therefore, the required fraction $=\frac { 8 }{ 24 } =\frac { 1 }{ 3 }$.

Ex 7.1 Class 6 Maths Question 5.
What fraction of an hour is 40 minutes?
Solution:
Since, there are 60 minutes in an hour, therefore, the required fraction $=\frac { 40 }{ 60 } =\frac { 2 }{ 3 }$.

Ex 7.1 Class 6 Maths Question 6.
Arya, Abhimanyu and Vivek shared lunch. Arya has brought two sandwiches, one made of vegetable and one of jam. The other two boys forgot to bring their lunch. Arya agreed to share his sandwiches so that each person will have an equal share of each sandwich.
(a) How can Arya divide his sandwiches so that each person has an equal share?
(b) What part of a sandwich will each boy receive?
Solution:
(a) To divide 2 sandwiches brought by Arya equally among Arya, Abhimanyu and Vivek (i.e., 3 persons), we have to divide each sandwich into 3 equal parts. Then two parts thus obtained be given to each of them.
(b) $\frac { 1 }{ 3 }$ of a sandwich will be received by each boy but in total each will get $\frac { 2 }{ 3 }$.

Ex 7.1 Class 6 Maths Question 7.
Kanchan dyes dresses. She had to dye 30 dresses. She has so far finished 20 dresses. What fraction of dresses has she finished?
Solution:
Total number of dresses = 30
Work finished = 20
∴ The fraction of dresses she has finished = $=\frac { 20 }{ 30 } =\frac { 2 }{ 3 }$.

Ex 7.1 Class 6 Maths Question 8.
Write the natural numbers from 2 to 12. What fraction of them are prime numbers?
Solution:
Natural numbers from 2 to 12 are:
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 i.e., 11 in number.
Prime numbers out of these numbers are:
2, 3, 5, 7, 11 i.e., 5 in number.
∴ Required fraction = $=\frac { 4 }{ 12 } =\frac { 1 }{ 3 }$

Ex 7.1 Class 6 Maths Question 9.
Write the natural numbers from 102 to 113. What fraction of them are prime numbers?
Solution:
Natural numbers from 102 to 113 are:
102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113 i.e., 12 in number.
Prime numbers out of the above numbers are:
103, 107, 109, 113 i.e., 4 in number.
∴ Required fraction = $=\frac { 4 }{ 12 } =\frac { 1 }{ 3 }$

Ex 7.1 Class 6 Maths Question 10.
What fraction of these circles have X’s in them? Solution:
∴Required fraction = $=\frac { 4 }{ 8 } =\frac { 1 }{ 2 }$

Ex 7.1 Class 6 Maths Question 11.
Kristin received a CD player for her birthday. She bought 3 CDs and received 5 others as gifts. What fraction of her total CDs did she buy and what fraction did she receive as gifts?
Solution:
Total number of CDs = 3 + 5 = 8
Number of CDs purchased = 3
Fraction of CDs purchased = $\frac { 3 }{ 8 }$
Fraction of CDs received as gift = $\frac { 5 }{ 8 }$ .

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