Chapter 7: Fractions

Q1Written answer

Write the fraction representing the shaded portion.

NCERT Solutions for CLass 6 Maths Chapter 7 Exercise 7.1 - 1

Show solutionHide solution

Worked solution

(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

Q2Written answer

Colour the part according to the given fraction.

NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.1 - 2

Show solutionHide solution

Worked solution

NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.1 - 3

Q3Written answer

Identify the error, if any.

NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.1 - 4

Show solutionHide solution

Worked solution

(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

Q4Written answer

What fraction of a day is 8 hours?

Show solutionHide solution

Worked solution

There are 24 hours in a day

We have 8 hours

Hence, required fraction is 8 / 24

Q5Written answer

What fraction of an hour is 40 minutes?

Show solutionHide solution

Worked solution

There are 60 minutes in 1 hour

∴ 1 hour = 60 minutes

Hence, required Fraction = 40 / 60

Q6Written answer

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?

Show solutionHide solution

Worked solution

(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

Q7Written answer

Kanchan dyes dresses. She had to dye 30 dresses. She has so far finished 20 dresses. What fraction of dresses has she finished?

Show solutionHide solution

Worked solution

Total number of dresses Kanchan has to dye = 30 dresses

Number of dresses she has finished = 20 dresses

∴ Required Fraction = 20 / 30 = 2 / 3

Q8Written answer

Write the natural numbers from 2 to 12. What fraction of them are prime numbers?

Show solutionHide solution

Worked solution

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

Q9Written answer

Write the natural numbers from 102 to 113. What fraction of them are prime numbers?

Show solutionHide solution

Worked solution

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

Q10Written answer

What fraction of these circles have Xs in them?

NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.1 - 5

Show solutionHide solution

Worked solution

Total number of circles in the figure = 8

Number of circles having Xs in them = 4

∴ Required Fraction = 4 / 8 = 1 / 2

My Cart

Your Cart 0

Questions