Representing a small part from a whole portion of an object is called a fraction. These are mainly used in our daily lives for various purposes. Exercise 7.1 provides introduction to fractions and the method of solving problems using them. The solutions contain brief explanations in simple language, which match the understanding abilities of students. For further reference, students can use NCERT Solutions Class 6 Maths Chapter 7 Fractions Exercise 7.1 PDF, which are given here.
NCERT Solutions for Class 6 Chapter 7: Fractions Exercise 7.1 Download PDF
Access NCERT Solutions for Class 6 Chapter 7: Fractions Exercise 7.1
1. Write the fraction representing the shaded portion.
Solutions:
(i) Number of parts = 4
Shaded portion = 2
∴ Fraction = 2 / 4
(ii) Number of parts = 9
Shaded portion = 8
∴ Fraction = 8 / 9
(iii) Number of parts = 8
Shaded portion = 4
∴ Fraction = 4 / 8
(iv) Number of parts = 4
Shaded portion = 1
∴ Fraction = 1 / 4
(v) Number of parts = 7
Shaded portion = 3
∴ Fraction = 3 / 7
(vi) Number of parts = 12
Shaded portion = 3
∴ Fraction = 3 / 12
(vii) Number of parts = 10
Shaded portion = 10
∴ Fraction = 10 / 10
(viii) Number of parts = 9
Shaded portion = 4
∴ Fraction = 4 / 9
(ix) Number of parts = 8
Shaded portion = 4
∴ Fraction = 4 / 8
(x) Number of parts = 2
Shaded portion = 1
∴ Fraction = 1 / 2
2. Colour the part according to the given fraction.
Solutions:
3. Identify the error, if any.
Solutions:
(i) The shaded portion is not half
Hence, this is not 1 / 2
(ii) Since, the parts are not equal
∴ Shaded portion is not 1 / 4
(iii) Since, the parts are not equal
∴ Shaded portion is not 3 / 4
4. What fraction of a day is 8 hours?
Solutions:
There are 24 hours in a day
We have 8 hours
Hence, required fraction is 8 / 24
5. What fraction of an hour is 40 minutes?
Solutions:
There are 60 minutes in 1 hour
∴ 1 hour = 60 minutes
Hence, required Fraction = 40 / 60
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?
Solutions:
(a) Arya has divided the sandwich into 3 equal parts. So each person will get one part.
(b) Each boy receive 1 / 3 part
∴ Required Fraction is 1 / 3
7. Kanchan dyes dresses. She had to dye 30 dresses. She has so far finished 20 dresses. What fraction of dresses has she finished?
Solutions:
Total number of dresses Kanchan has to dye = 30 dresses
Number of dresses she has finished = 20 dresses
∴ Required Fraction = 20 / 30 = 2 / 3
8. Write the natural numbers from 2 to 12. What fraction of them are prime numbers?
Solutions:
Natural numbers from 2 to 12 are
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
Total number of natural numbers given= 11
Number of prime numbers = 5
∴ Required Fraction = 5 / 11
9. Write the natural numbers from 102 to 113. What fraction of them are prime numbers?
Solutions:
Natural numbers from 102 to 113 are
102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113
Total number of natural numbers given = 12
Number of prime numbers = 4 [103, 107, 109, 113]
∴ Required Fraction = 4 / 12 = 1 / 3
10. What fraction of these circles have X’s in them?
Solutions:
Total number of circles in the figure = 8
Number of circles having X’s in them = 4
∴ Required Fraction = 4 / 8 = 1 / 2
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?
Solutions:
Number of CDs Kristin bought from the market = 3
Number of CDs received as gifts = 5
Total number of CDs Kristin have = 3 + 5 = 8
∴ Fraction of CD she bought = 3 / 8
∴ Fraction of CDs received as gifts = 5 / 8