## 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:**

(i) Total number of parts = 4

Number of shaded parts = 2

∴ Fraction = 2/4

(ii) Total number of parts = 9

Number of shaded parts = 8

∴ Fraction = 8/9

(iii) Total number of parts = 8

Number of shaded parts = 4

∴ Fraction = 4/8

(iv) Total number of parts = 4

Number of shaded parts = 1

∴ Fraction = 1/4

(v) Total number of parts = 7

Number of shaded parts = 3

∴ Fraction = 3/7

(vi) Total number of parts = 12

Number of shaded parts = 3

∴ Fraction = 3/12

(vii) Total number of parts = 10

Number of shaded parts = 10

∴ Fraction = 10/10

(viii) Total number of parts = 9

Number of shaded parts = 4

∴ Fraction = 4/9

(ix) Total number of parts = 8

Number of shaded parts = 4

∴ Fraction = 4/8

(x) Total number of parts = 2

Number of shaded part = 1

∴ Fraction = 1/2

**Ex 7.1 Class 6 Maths Question 2.**

**Colour the part according to the given fraction.**

**Solution:**

**Ex 7.1 Class 6 Maths Question 3.**

**Identify the error, if any.**

**Solution:**

(a) Since the shaded part is not half.

∴ This is not 1/2 .

(b) Since, the parts are not equal.

∴ Shaded part is not 1/4 .

(c) Since, the part are not equal.

∴ Shaded part is not 3/4.

**Ex 7.1 Class 6 Maths Question 4.**

**What fraction of a day is 8 hours?**

**Solution:**

Since, a day has 24 hours and we have 8 hours,

∴ Required fraction = 8/24

**Ex 7.1 Class 6 Maths Question 5.**

**What fraction of a hour is 40 minutes?**

**Solution:**

Since I hours = 60 minutes

∴ Fraction of 40 minutes = 40/60

**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) Arya has divided his sandwich into three equal parts.

So, each of them will get one part.

(b) Each one of them will receive 1/3 part.

∴ Required fraction = 1/3

**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 to be dyed = 30

Number of dresses finished = 20

∴ Required fraction = 20/30 = 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 between 2 and 12 are;

2,3,4, 5, 6, 7, 8, 9, 10,11, 12

Number of given natural numbers = 11

Number of prime numbers = 5

∴ Required fraction = 5/11

**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

Total number of given natural numbers = 12

Prime numbers are 103, 107, 109, 113

∴ Number of prime numbers = 4

∴ Required fraction = 4/12 = 1/3

**Ex 7.1 Class 6 Maths Question 10.**

**What fraction of these circles have X’s in them?**

**Solution:**

Total number’of circles = 8

Number of circles having X’s in them = 4

Required fraction = 4/8 = 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:**

Number of CDs bought by her from the market = 3

Number of CD’s received as gifts = 5

∴ Total number of CDs = 3 + 5 = 8

∴ Fraction of CD (bought) = 3/8 and the fraction of CDs (gifted) = 5/8