minus 2 by 5 is equal to question mark by 10 is equal to 6 by question mark is equal to minus 8 by?
Answers
Answer:
Write the fraction representing the shaded portion:
Class_6_Maths_Fractions_Shading_Of_Fraction_2
Answer:
(i) The given figure represents 2 shaded parts out of 4 equal parts.
So, the fraction = 2/4
(ii) The given figure represents 8 shaded parts out of 9 equal parts.
So, the fraction = 8/9
(iii) The given figure represents 4 shaded parts out of 8 equal parts.
So, the fraction = 4/8
(iv) The given figure represents 1 shaded part out of 4 equal parts.
So, the fraction = 1/4
(v) The given figure represents 3 shaded parts out of 7 equal parts.
So, the fraction = 3/7
(vi) The given figure represents 3 shaded parts out of 12 equal parts.
So, the fraction = 3/12
(vii) The given figure represents 10 shaded parts out of 10 equal parts.
So, the fraction = 10/10
(viii) The given figure represents 4 shaded parts out of 9 equal parts.
So, the fraction = 4/9
(ix) The given figure represents 4 shaded parts out of 8 equal parts.
So, the fraction = 4/8
(x) The given figure represents 1 shaded part out of 2 equal parts.
So, the fraction = 1/2
Question 2:
Colour the part according to the given fraction:
Class_6_Maths_Fractions_Shading_Of_Fraction
Answer:
(i) 1/6 means we have to colour one part out of 6 parts in the given figure.
(ii) 1/4 means we have to colour one part out of 4 parts in the given figure.
(iii) 1/3 means we have to colour one part out of 3 parts in the given figure.
Class_6_Maths_Fractions_Shading_Of_Fraction_1
(iv) 3/4 means we have to colour three parts out of 4 parts in the given figure.
(v) 4/9 means we have to colour four parts out of 9 parts in the given figure.
Question 3:
Identify the error, if any?
Class_6_Fractions_Shaded_Portion1
Answer:
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?
Answer:
We know that 1 day = 24 hours.
Therefore, the fraction of 8 hours = 8/24 = 1/3
Question 5:
What fraction of an hour is 40 minutes?
Answer:
Since 1 hour = 60 minutes.
Therefore, the fraction of 40 minutes = 40/60 = 2/3
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?
Answer:
(a) Arya will divide each sandwich into three equal parts and give one part of each sandwich to
each one of them.
(b) The part of a sandwich each boy will receive = 1 * (1/3) = 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?
Answer:
Total number of dresses = 30
Work finished = 20
Fraction of finished work = 20/30 = 2/3
Question 8:
Write the natural numbers from 2 to 12. What fraction of them are prime numbers?
Answer:
Natural numbers from 2 to 12: 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
Prime numbers from 2 to 12: 2, 3, 5, 7, 11
Hence, the fraction of prime numbers = 5/11
Question 9:
Write the natural numbers from 102 to 113. What fraction of them are prime numbers?
Answer:
Natural numbers from 102 to 113:
102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113
Prime numbers from 102 to 113:
103, 107, 109, 113
Hence fraction of prime numbers = 4/12 = 1/3
Question 10:
What fractions of these circles have ‘X’s in them?
Class_6_Fractions_Shaded_Portion2
Answer:
Total number of circles = 8 and number of circles having ‘X’ = 4 . Hence, the fraction = 4/8
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?
Answer:
Total number of CDs = 3 + 5 = 8
Number of CDs purchased = 3
Fraction of CDs purchased = 3/8
Fraction of CDs received as gifts = 5/8
Exercise 7.2
Question 1:
Draw number lines and locate the points on them:
(a) 1/2, 1/4, 3/4, 4/4
(b) 1/8, 2/8, 3/8, 7/8
(c) 2/5, 3/5, 8/5, 4/5
Answer:
(a)
Class_6_Fractions_Number_Line2
(b)
Class_6_Fractions_Number_Line3
(c)
Class_6_Fractions_Number_Line4