# Fractions NCERT Questions NCERT TEXT BOOK EXERCISES
EXERCISE-7.1

1. Write the fraction representing the shaded portion.

Solutions:
(i)Number of parts = 4
∴ Fraction = 2 / 4
(ii) Number of parts = 9

∴ Fraction = 8 / 9

(iii) Number of parts = 8

∴ Fraction = 4 / 8

(iv) Number of parts = 4

∴ Fraction = 1 / 4

(v) Number of parts = 7

∴ Fraction = 3 / 7

(vi) Number of parts = 12

∴ Fraction = 3 / 12

(vii) Number of parts = 10

∴ Fraction = 10 / 10

(viii) Number of parts = 9

∴ Fraction = 4 / 9

(ix) Number of parts = 8

∴ Fraction = 4 / 8

(x) Number of parts = 2

∴ Fraction = 1 / 2

2. Colour the part according to the given fraction.

Solutions:

3. Identify the error, if any.

Solutions:

(i) The shaded portion is not half

Hence, this is not 1 / 2

(ii) Since, the parts are not equal

∴ Shaded portion is not 1 / 4

(iii) Since, the parts are not equal

∴ Shaded portion is not 3 / 4

4. What fraction of a day is 8 hours?

Solutions:

There are 24 hours in a day

We have 8 hours

Hence, required fraction is 8 / 24

5. What fraction of an hour is 40 minutes?

Solutions:

There are 60 minutes in 1 hour

∴ 1 hour = 60 minutes

Hence, required Fraction = 40 / 60

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?

Solutions:

(a) Arya has divided the sandwich into 3 equal parts. So each person will get one part.

(b) Each boy receive 1 / 3 part

∴ Required Fraction is 1 / 3

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

Solutions:

Total number of dresses Kanchan has to dye = 30 dresses

Number of dresses she has finished = 20 dresses

∴ Required Fraction = 20 / 30 = 2 / 3

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

Solutions:

Natural numbers from 2 to 12 are

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

Total number of natural numbers given= 11

Number of prime numbers = 5

∴ Required Fraction = 5 / 11

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

Solutions:

Natural numbers from 102 to 113 are

102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113

Total number of natural numbers given = 12

Number of prime numbers = 4 [103, 107, 109, 113]

∴ Required Fraction = 4 / 12 = 1 / 3

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

Solutions:

Total number of circles in the figure = 8

Number of circles having X’s in them = 4

∴ Required Fraction = 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?

Solutions:

Number of CDs Kristin bought from the market = 3

Total number of CDs Kristin have = 3 + 5 = 8

∴ Fraction of CD she bought = 3 / 8

EXERCISE-7.2

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

(a) (b)  (c)

1. Express the following as mixed fractions:

(a) (b) (c)  (d) (e) (f)

1. Express the following as improper fractions:

(a) (b) (c)  (d) (e) (f)

EXERCISE-7.3

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

(a) (b) 1. Write the fractions and pair up the equivalent fractions from each row.  1. Replace &mnSq2 in each of the following by the correct number:

(a)           (b)         (c)        (d)

(e)

1. Find the equivalent fraction of  having

(a) denominator 20 (b) numerator 9 (c) denominator 30 (d) numerator 27

1. Find the equivalent fraction of  with

(a) numerator 9    (b) denominator 4

1. Check whether the given fractions are equivalent:
• (b) (c)
1. Reduce the following fractions to simplest form:

(a) (b) (c) (d)  (e)

1. 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?
2. Match the equivalent fractions and write two more for each.

(i) (a) (iv) (d)          (ii) (b) (v) (e)

(iii) (c)

EXERCISE-7.4

1. Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign ‘<’, ‘=’, ‘>’ between the fractions:

(a) (b) (c) Show  on the number line. Put appropriate signs between the fractions given.

1. Compare the fractions and put an appropriate sign.

(a) (b)  (c) (d)

1. Make five more such pairs and put appropriate sign.
2. Look at the figures and write ‘<’ or ‘>’, ‘=’ between the given pairs of fractions. (a)             (b)           (c)         (d)           (e)

5. How quickly can you do this? Fill appropriate sign (‘<’, ‘=’, ‘>’)

(a) (b)  (c) (d)  (e) (f)  (g) (h)

(i) (j)  (k)

1. 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)                  (b)               (c)               (d)             (e)              (f)

(g)                 (h)              (i)               (j)               (k)               (l)

1. Find answers to the following. Write and indicate how you solved them.

(a) ? (b) ?

(c) ? (d)

1. Ila read 25 pages of a book containing 100 pages. Lalita read of the same book. Who read less?
2. Rafiq exercised for  of an hour, while Rohit exercised for  of an hour. Who exercised for a longer time?
3. In a 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?

EXERCISE-7.5

1. Write these fractions appropriately as additions or subtractions:

(a) (b) (c) EXERCISE-7.6

1. Solve

(a)             (b)         (c)         (d)

(e)             (f)           (g)          (h)

(i)        (j)       (k)      (l)

(m)          (n)

1. Sarita bought  metre of ribbon and Lalita  metre of ribbon. What is the total length of the ribbon they bought?
2. Naina was given  piece of cake and Najma was given  piece of cake. Find the total amount of cake was given to both of them.
3. Fill in the boxes:

(a)                   (b)                (c)

(a) (b) 1. A piece of wire  metre long broke into two pieces. One piece was  metre long. How long is the other piece?
2. Nandini’s house is  km from her school. She walked some distance and then took a bus for  km to reach the school. How far did she walk?
3. Asha and Samuel have bookshelves of the same size partly filled with books.

Asha’s shelf is  th full and Samuel’s shelf is  th full. Whose bookshelf is more full? By what fraction?

1. Jaidev takes minutes to walk across the school ground. Rahul takes  minutes to do the same. Who takes less time and by what fraction?