**Fractions Class 6 Ex. 7.1**

**New Ncert Class 6, Chapter 7 Math Free Solution.**

**Exercise 7.1**

**Question 1 :- Write the fraction representing-shaded portion.**

(v) (vi) (vii) (viii)

**Solution 1:-**

(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

**Question 2 :- Colour the part according to the given fraction.**

**Solution 2:-**

**Question 3 :- Identify the error, if any.**

**Solution 3:-**

(a) due to the shaded portion not being 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.

All the figures are not equally divided. For making fractions, it is necessary that figure is to be divided in equal parts.

**Question 4 :- What fraction; of a day is 8-hours?**

**Solution 4:- **

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

∴ Required fraction = 8/24.

**Question 5 :- What fraction; of a-hour is 40-minutes?**

**Solution 5:-**

Since I hours = 60 minutes

∴ Fraction of 40 minutes = 40/60

**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 6:-**

(a) In order to make three equal portions, Arya divided his sandwich.

They will each receive one part as a result.

(b) They will each get a 1/3 of the total.

∴ Required fraction = 1/3

**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 7:-**

Total number of dresses which to be dyed = 30

Number of dresses finished = 20

∴ Required fraction = 20/30 = 2/3

**Question 8 :- Write the natural-numbers; from 2 to 12. What fraction of them are prime numbers?**

**Solution 8:-**

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

**Question 9 :- Write the natural-numbers, from 102 to 113. What fraction of them are prime numbers?**

**Solution 9:-**

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

**Question 10 :- What fraction; of these circle have X’s in them?**

**Solution 10:-**

Total number’of circles = 8

4 is the number of circles with Xs in them.

Required fraction = 4/8 = 1/2

**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 11:-**

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.

**Chapter 6 Fractions Class 6 Exercise. 7.1 for Free**