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NCERT Solutions for Class 8 Maths Chapter 7 - Fractions

Exercise 7.1

Q1. Write the fraction representing the shaded portion.

NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Ans: 
(i) Total number of parts = 4
Number of shaded parts = 2
∴ Fraction =  2/424

(ii) Total number of parts = 9
Number of shaded parts = 8
∴ Fraction = 8/989

(iii) Total number of parts = 8
Number of shaded parts = 4
∴ Fraction = 4/848

(iv) Total number of parts = 4
Number of shaded parts = 1
∴ Fraction = 1/4 14

(v) Total number of parts = 7
Number of shaded parts = 3
∴ Fraction = 3/737

(vi) Total number of parts = 12
Number of shaded parts = 3
∴ Fraction = 3/12312

(vii) Total number of parts = 10
Number of shaded parts = 10
∴ Fraction = 10/101010

(viii) Total number of parts = 9
Number of shaded parts = 4
∴ Fraction = 4/949

(ix) Total number of parts = 8
Number of shaded parts = 4
∴ Fraction = 4/848

(x) Total number of parts = 2
Number of shaded part = 1
∴ Fraction = 1/212


Q2. Colour the part according to the given fraction.

NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Ans:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions


Q3. Identify the error, if any.
NCERT Solutions for Class 8 Maths Chapter 7 - FractionsNCERT Solutions for Class 8 Maths Chapter 7 - FractionsNCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Ans: All the figures are not equally divided. For making fractions, it is necessary that figure is to be divided into equal parts.


Q4. What fraction of a day is 8 hours?
Ans: Since, 1 day = 24 hours.
Therefore, the fraction of 8 hours = (8/24)
= (1/3)


Q5. What fraction of an hour is 40 minutes?
Ans: Since, 1 hour = 60 minutes.
Therefore, the fraction of 40 minutes = (40/60)
= (2/3)


Q6. Arya, Abhimanyu, and Vivek shared lunch. Arya has brought two sandwiches, one made of vegetables 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?
Ans: (a) To ensure that each person has an equal share of both sandwiches, Arya can divide each of his sandwiches into three equal parts. Therefore, each boy will receive 1/3 of each sandwich.
(b) In summary, each boy will receive:

  • 1/3 of the vegetable sandwich
  • 1/3 of the jam sandwich


Q7. Kanchan dyes dresses. She had to dye 30 dresses. She has so far finished 20 dresses. What fraction of dresses has she finished?
Ans: To find the fraction of dresses that Kanchan has finished dyeing, we need to divide the number of dresses she has finished by the total number of dresses she had to dye. According to the given information, Kanchan had to dye 30 dresses and has so far finished 20 dresses. Therefore, the fraction of dresses she has finished dyeing is:  20 / 30
This fraction can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 10.
20 / 30 = (20 ÷ 10) / (30 ÷ 10) = 2 / 3
Therefore, Kanchan has finished dyeing 2/3 of the dresses she had to dye.


Q8. Write the natural numbers from 2 to 12. What fraction of them are prime numbers?
Ans: The natural numbers from 2 to 12 are: 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
To find out what fraction of these numbers are prime, we need to identify which of these numbers are prime. According to the list of prime numbers 1, the prime numbers between 2 and 12 are 2, 3, 5, 7, 11. Therefore, out of the 11 natural numbers between 2 and 12, there are 5 prime numbers. To find the fraction of these numbers that are prime, we divide the number of prime numbers by the total number of natural numbers: 5 / 11. This fraction cannot be simplified any further. Therefore, the fraction of natural numbers between 2 and 12 that are prime is 5/11.


Q9. Write the natural numbers from 102 to 113. What fraction of them are prime numbers?

Ans: 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


Q10. What fractions of these circles have X’s in them?
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Ans: Total number of circles = 8 and number of circles having ‘X’ = 4
Hence, the fraction = (4/8)


Q11. 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?
Ans: 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

Q1. Draw number lines and locate the points on them:

NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Ans:
(a) NCERT Solutions for Class 8 Maths Chapter 7 - Fractions

Here divide the number line from 0 to 1 into four equal parts
C = 2/4 = 1/2
B = 1/4
D = 3/4 and
E = 4/4 =1
(b)

NCERT Solutions for Class 8 Maths Chapter 7 - Fractions

Divide the number line from 0 to 1 into eight equal parts
B = 1/8
C =2/8
D = 3/8
H = 7/8
(c) 

NCERT Solutions for Class 8 Maths Chapter 7 - Fractions

From the given number line, we have
C = 2/5
D = 3/5
E = 4/5
I = 8/5


Q2. Express the following as mixed fractions:
(a) 20/3
(b) 11/5
(c) 17/7
(d) 28/5
(e) 19/6
(f) 35/9
Ans: 
(a) 
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions

(b)
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions

(c) 
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions

(d) 
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions

(e) 
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions

(f) 
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions


Q3. Express the following as improper fractions:

NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Ans:

  NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions


Exercise 7.3

Q1. Write the fractions. Are all these fractions equivalent?

(a) NCERT Solutions for Class 8 Maths Chapter 7 - FractionsNCERT Solutions for Class 8 Maths Chapter 7 - Fractions

(b)  NCERT Solutions for Class 8 Maths Chapter 7 - FractionsNCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Ans:
(a) 
(i) The shaded portion is 1 / 2
(ii) The shaded portion is 2/4 =  1 / 2
(iii) The shaded portion is 3 / 6 = 1 / 2
(iv) The shaded portion is 4 / 8 = I / 2
Hence, all fractions are equivalent.
(b)
(i) The shaded portion is 4/ 12 =  1 / 3
(ii)The shaded portion is 3 / 9 = I / 3
(iii) The shaded portion is 2 / 6 = I / 3
(iv) The shaded portion is 1 / 3
(v) The shaded portion is 6 / 15 = 2/5
All the fractions in their simplest form are not equal
Hence, they are not equivalent fractions


Q2. Write the fractions and pair up the equivalent fractions from each row.

NCERT Solutions for Class 8 Maths Chapter 7 - FractionsNCERT Solutions for Class 8 Maths Chapter 7 - FractionsNCERT Solutions for Class 8 Maths Chapter 7 - FractionsNCERT Solutions for Class 8 Maths Chapter 7 - FractionsNCERT Solutions for Class 8 Maths Chapter 7 - Fractions

NCERT Solutions for Class 8 Maths Chapter 7 - FractionsNCERT Solutions for Class 8 Maths Chapter 7 - FractionsNCERT Solutions for Class 8 Maths Chapter 7 - FractionsNCERT Solutions for Class 8 Maths Chapter 7 - FractionsNCERT Solutions for Class 8 Maths Chapter 7 - Fractions

Ans:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions


Q3. Replace NCERT Solutions for Class 8 Maths Chapter 7 - Fractions in each of the following by the correct number:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Ans:

NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions


Q4. Find the equivalent fraction of 3/5 having
(a) denominator 20 
(b) numerator 9
(c) denominator 30 
(d) numerator 27
Ans:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions


Q5. Find the equivalent fraction of 36/48 with
(a) numerator 9 
(b) denominator 4
Ans:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions

NCERT Solutions for Class 8 Maths Chapter 7 - Fractions


Q6. Check whether the given fractions are equivalent:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Ans:
NCERT Solutions for Class 8 Maths Chapter 7 - FractionsNCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Therefore  NCERT Solutions for Class 8 Maths Chapter 7 - Fractions are equivalent
NCERT Solutions for Class 8 Maths Chapter 7 - FractionsNCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Therefore,  NCERT Solutions for Class 8 Maths Chapter 7 - Fractions are not equivalent,
NCERT Solutions for Class 8 Maths Chapter 7 - FractionsNCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Therefore,  NCERT Solutions for Class 8 Maths Chapter 7 - Fractions  are not equivalent fraction.


Q7. Reduce the following fractions to the simplest form:
(a) 48/60
(b) 150/60
(c) 84/98
(d) 12/52
(e) 7/28
Ans:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions


Q8. Ramesh had 20 pencils, Sheelu had 50 pencils and Jamaal had 80 pencils. After 4 months, Ramesh used up 10 pencils, Sheelu used up 25 pencils and Jamaal used up 40 pencils. What fraction did each use up? Check if each has used up an equal fraction of her/his pencils?
Ans:
Ramesh: 
Total pencils = 20
Pencils used = 10
Fraction = 10/20 = 1/2
Sheelu: 
Total pencils = 50
Pencils used = 25
Fraction = 25/50 = 1/2
Jamaal: 
Total pencils = 80
Pencils used = 40
Fraction = 40/80 = 1/2
Since, all of them used half of their pencils, therefore each one used up equal fraction of pencils.


Q9. Match the equivalent fractions and write two more for each.
(i) 250/400     (a) 2/3
(ii) 180/200    (b) 2/5
(iii) 660/990   (c) 1/2
(iv) 180/360   (d) 5/8
(v) 220/550    (e) 9/10
Ans:
(i) NCERT Solutions for Class 8 Maths Chapter 7 - Fractions   (d) 5/8
(ii) NCERT Solutions for Class 8 Maths Chapter 7 - Fractions   (e) 9/10
(iii) NCERT Solutions for Class 8 Maths Chapter 7 - Fractions    (a) 2/3
(iv) NCERT Solutions for Class 8 Maths Chapter 7 - Fractions       (c) 1/2
(v)  NCERT Solutions for Class 8 Maths Chapter 7 - Fractions (b) 2/5


Exercise 7.4

Q1. Write the shaded portion as a fraction. Arrange them in ascending and descending order using correct sign ‘<’, ‘=’, ‘>’ between the fractions:
(a)NCERT Solutions for Class 8 Maths Chapter 7 - FractionsNCERT Solutions for Class 8 Maths Chapter 7 - Fractions
(b) NCERT Solutions for Class 8 Maths Chapter 7 - Fractions NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
(c) Show NCERT Solutions for Class 8 Maths Chapter 7 - Fractions on the number line. Put appropriate signs between the fractions given.
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Ans:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Ascending order:  NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Descending order:  NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Ascending order:  NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Descending order: NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
(c) Number line
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions


Q2. Compare the fractions and put an appropriate sign.
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Ans:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions


Q3. Make five more each pairs and put appropriate signs. 
Ans:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions


Q4. Look at the figures and write ‘<’ or ‘>’ between the given pairs of fractions.NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions

NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Make five more such problems and solve them with your friends. 
Ans:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Five more such problems:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Ans:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions


Q5. How quickly can you do this? Fill appropriate sign (‘<’, ‘=’, ‘>’)
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Ans:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions


Q6. The following fractions represent just three different numbers. Separate them into three groups of equivalent fractions, by changing each one to its simplest form.
(a) 2/12
(b) 3/15
(c) 8/50
(d) 16/100
(e) 10/60
(f) 15/75
(g) 12/60
(h) 16/96
(i) 12/75
(j) 12/72
(k) 3/18
(l) 4/25
Ans:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Equivalent groups:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions


Q7. Find answers to the following. Write and indicate how you solved them.
(a)  NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
(b) NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
(c) NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
(d) NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Ans:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions  [∴ L.C.M. of 9 and 5 is 45]
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions   [∴ L.C.M. of 16 and 9 is 144]
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions   [∴ L.C.M. of 5 and 20 is 100]
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions [∴ L.C.M. of 15 and 30 is 30]
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions


Q8. Ila read 25 pages of a book containing 100 pages. Lalita read 2/5 of the same book. Who reads less?
Ans: Ila read 25 pages out of 100 pages.
Fraction of reading the pages =  25/100 = 1/4 th part of the book
Lalita read 2/5 th part of the book  = 40/100 pages
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Therefore, Ila read less.


Q9. Rafiq exercised for 3/6 of an hour, while Rohit exercised for 3/4of an hour. Who exercised for a longer time?
Ans: Rafiq exercised 3/6 of an hour.
Rohit exercised 3/4 of an hour.
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Therefore, Rohit exercised for a longer time.


Q10. In class A of 25 students, 20 passed in first class; in another class B of 30 students, 24 passed in first class. In which class was a greater fraction of students getting first class?
Ans: In class A, 20 passed out of 25, i.e., 20/25 = 4/5
In class B, 24 passed out of 30, i.e., 24/30 = 4/5
Hence, each class have the same fraction of student getting a first class.


Exercise 7.5

Q1. Write these fractions appropriately as additions or subtractions:
(a)NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
(b) NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
(c) NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Ans:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions


Q2. Solve:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Ans:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions


Q3. Shubham painted 2/3of the wall space in his room. His sister Madhavi helped and painted 1/3 of the wall space. How much did they paint together?
Ans: Fraction of wall painted by Shubham = 2/3
Fraction of wall painted by Madhavi = 1/3
Total painting by both of them = NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Therefore, they painted the complete wall.


Q4. Fill in the missing fractions.

NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions

Ans:
(a) 4/10
(b) 8/21
(c) 6/6
(d) 7/27


Q5. Javed was given a basket of oranges. What fraction of oranges was left in the basket?
Ans:
Total = 1
Fraction of Orange left  NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Thus, 2/7 oranges were left in the basket.


Exercise 7.6

Q1. Solve
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Ans:
(a) L.C.M. of 3 and 7 is 21
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
(b) L.C.M. of 10 and 15 is 30
NCERT Solutions for Class 8 Maths Chapter 7 - FractionsNCERT Solutions for Class 8 Maths Chapter 7 - Fractions
(c) L.C.M. of 9 and 7 is 63
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions  NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
(d)
 NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
(e)
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
(f)
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
(g)
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
(h)
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
(i)
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
(j)
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
(k)
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
(l)
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
(m)
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
(n)
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions


Q2. Sarita bought 2/5 metre of ribbon and Lalita 3/4 metre of ribbon. What is the total length of the ribbon they bought?
Ans: Ribbon bought by Sarita = 2/5 m and Ribbon bought by Lalita = 3/4 m
The total length of ribbon = NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Therefore, they bought  NCERT Solutions for Class 8 Maths Chapter 7 - Fractions  of ribbon.


Q3. Naina was given NCERT Solutions for Class 8 Maths Chapter 7 - Fractions piece of cake and Najma was given NCERT Solutions for Class 8 Maths Chapter 7 - Fractions piece of cake. Find the total amount of cake was given to both of them.
Ans: Cake taken by Naina = NCERT Solutions for Class 8 Maths Chapter 7 - Fractions piece and Cake taken by Najma NCERT Solutions for Class 8 Maths Chapter 7 - Fractions piece
Total cake taken
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Therefore, the total consumption of cake is  NCERT Solutions for Class 8 Maths Chapter 7 - Fractions


Q4. Fill in the boxes: 
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Ans:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions


Q5. Complete the addition-subtraction box.
NCERT Solutions for Class 8 Maths Chapter 7 - FractionsNCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Ans:
NCERT Solutions for Class 8 Maths Chapter 7 - FractionsNCERT Solutions for Class 8 Maths Chapter 7 - Fractions


Q6. A piece of wire 7/8 metre long broke into two pieces. One piece was 1/4 metre long. How long is the other piece?
Ans:
The total length of wire = 7/8 meter
Length of first part = 1/4 meter
Remaining part   NCERT Solutions for Class 8 Maths Chapter 7 - Fractions  [∴ L.C.M. of 8 and 4 is 8]
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Therefore, the length of the remaining part is 5/8 meter.


Q7. Nandini’s house is 9/10 km from her school. She walked some distance and then took a bus for 1/2 km to reach the school. How far did she walk?
Ans:
The total distance between school and house 9/10 km
Distance covered by bus = 1/2 km
Remaining distance NCERT Solutions for Class 8 Maths Chapter 7 - Fractions [∴ L.C.M. of 10 and 2 is 10]
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Therefore, the distance covered by walking is 2/5 km.


Q8. Asha and Samuel have bookshelves of the same size partly filled with books. Asha’s shelf is 5/6 th full and Samuel’s shelf is 2/5 th full. Whose bookshelf is more full? By what fraction?
Ans:
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions  [∴ L.C.M. of 6 and 5 is 30]
∴    NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
⇒   NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
∴ Asha’s bookshelf is more covered than Samuel.
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions

Q9. Jaidev takes NCERT Solutions for Class 8 Maths Chapter 7 - Fractionsminutes to walk across the school ground. Rahul takes 7/4 minutes to do the same. Who takes less time and by what fraction?
Ans:
Time taken by Jaidev =  NCERT Solutions for Class 8 Maths Chapter 7 - Fractionsminutes = 11/5 minutes
Time taken by Rahul =  7/4 minutes
Difference  NCERT Solutions for Class 8 Maths Chapter 7 - Fractions [∴ L.C.M. of 5 and 4 is 20]
NCERT Solutions for Class 8 Maths Chapter 7 - Fractions
Thus, Rahul takes less time, which is 9/20 minutes.

The document NCERT Solutions for Class 8 Maths Chapter 7 - Fractions is a part of the Class 6 Course Mathematics (Maths) Class 6.
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FAQs on NCERT Solutions for Class 8 Maths Chapter 7 - Fractions

1. What is a fraction?
Ans. A fraction is a number that represents a part of a whole. It is written in the form of a numerator and denominator separated by a line. The numerator represents how many parts are being considered, while the denominator represents the total number of parts in the whole.
2. How do you add and subtract fractions?
Ans. To add or subtract fractions, you need to find a common denominator. This is the lowest multiple of the denominators of the fractions being added or subtracted. Once you have the common denominator, you can add or subtract the numerators, keeping the denominator the same.
3. How do you simplify a fraction?
Ans. To simplify a fraction, you need to divide both the numerator and denominator by their greatest common factor (GCF). This means finding the largest number that divides evenly into both the numerator and denominator. The result will be a fraction that is in its simplest form.
4. How do you convert a fraction to a decimal?
Ans. To convert a fraction to a decimal, you need to divide the numerator by the denominator using long division. The result will be a decimal representation of the fraction. You can also use a calculator to simplify the process.
5. What are equivalent fractions?
Ans. Equivalent fractions are fractions that represent the same part of a whole, but are written in different forms. For example, 1/2 and 2/4 are equivalent fractions, because they represent the same half of a whole. To find equivalent fractions, you can multiply or divide both the numerator and denominator by the same number.
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