# Class 6 Maths- Exercise 7.1-All Questions

(1) Write the fraction representing the shaded portion

Total Blocks=4
Fraction = 2/4

Total Blocks=9
Fraction = 8/9

Total Blocks=8
Fraction = 4/8

Total Blocks=4
Fraction = 1/4

Total Blocks=7
Fraction = 3/7

Total Blocks=12
Fraction = 9/12

Total Blocks=10
Fraction = 10/10

Total Blocks=9
Fraction = 4/9

Total Blocks=8
Fraction = 4/8

Total Blocks=2
Fraction = 1/2

(2) Colour the part according to the given fraction.

Total Blocks= 6
Blocks to color = 1

Total Blocks= 6
Blocks to color = 1

Total Blocks= 3
Blocks to color = 1

Total Blocks= 4
Blocks to color = 3

Total Blocks= 9
Blocks to color = 4

(3) Identify the error, if any

All the figures are not equally divided.
In order to write fraction of any diagram it is necessary to divide the diagram into equal parts.

(4) What fraction of a day is 8 hours?

We know that;
1 day = 24 hours
So for 8 hours the fraction will be = 8/24 => 1/3

(5) What fraction of an hour is 40 minutes?

We know that;
1 hour = 60 minutes
So for 40 minutes the fraction of an hour will be = 40/60 => 2/3

(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?

(a) Arya has two sandwiches and he is willing to share each sandwich with other two persons.
So Arya will divide each sandwich into 3 parts

(b) Each Person will receive 1/3 part of the sandwich

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

Total Dress to Dye = 30
Dress Finished = 20
Fraction of Dress Finished= 20/30 =2/3

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

Natural Numbers from 2 to 12 are: 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 (Total 11 numbers)
Prime Numbers from 2 to 12 are : 2, 3, 5, 6, 11 (Total 5 numbers)

Fraction of numbers which are prime= 5/11

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

Natural Numbers from 102 to 113 are: 102, 103, 104,105, 106, 107, 108, 109, 110, 111, 112, 113 (Total 12 numbers)
Prime Numbers from 2 to 12 are : 103, 107, 109, 113 (Total 4 numbers)

Fraction of numbers which are prime= 5/11

(10) What fraction of these circles have X’s in them?

Circle with x = 4
Total number of circle = 8

Fraction of Circle with x= 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?

Total number of CD Bought = 3