NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Mathematics (Maths) Class 6

Created by: Praveen Kumar

Class 6 : NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

The document NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev is a part of the Class 6 Course Mathematics (Maths) Class 6.
All you need of Class 6 at this link: Class 6

Exercise 7.4

Question 1

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

(a)NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRevNCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

(b) NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

(c) Show NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev the number line. Put appropriate signs between the fractions given.

Answer 1:

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Ascending order:  NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Descending order:  NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Ascending order:  NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Descending order: NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

(c) Number line

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev


Question 2:

Compare the fractions and put an appropriate sign.

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Answer 2:

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev


Question 3: 

Make five more each pairs and put appropriate signs. 

Answer 3:

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev


Question 4

Look at the figures and write ‘<’ or ‘>’ between the given pairs of fractions.

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Make five more such problems and solve them with your friends. 

Answer 4:

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Five more such problems:

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
Solution:

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev


Question 5

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

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Answer 5:

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev


Question 6

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

Answer 6:

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Equivalent groups:

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev


Question 7

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

(a)  NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

(b) NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

(c) NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

(d) NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Answer 7:

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev  [∴ L.C.M. of 9 and 5 is 45]

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev   [∴ L.C.M. of 16 and 9 is 144]

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev   [∴ L.C.M. of 5 and 20 is 100]

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev [∴ L.C.M. of 15 and 30 is 30]

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev


Question 8: 

Ila read 25 pages of a book containing 100 pages. Lalita read 2/5 of the same book. Who read less?

Answer 8:

Ila read 25 pages out of 100 pages.

Fraction of reading the pages =  25/100 = 1/4 th part of book

Lalita read 2/5 th part of book  = 40/100 pages

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Therefore, Ila read less.


Question 9

Rafiq exercised for 3/6 of an hour, while Rohit exercised for 3/4of an hour. Who exercised for a longer time?

Answer 9:

Rafiq exercised 3/6 of an hour.

Rohit exercised 3/4 of an hour.

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Therefore, Rohit exercised for a longer time.


Question 10

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?

Answer 10:

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 same fraction of student getting first class.


Exercise 7.5

Question 1

Write these fractions appropriately as additions or subtractions:

(a)NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

 

(b) NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

 

(c) NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

 Answer 1:

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev


Question 2

Solve:

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Answer 2:

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev


Question 3

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?

Answer 3:

Fraction of wall painted by Shubham = 2/3

Fraction of wall painted by Madhavi = 1/3

Total painting by both of them = NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Therefore, they painted complete wall.


Question 4

Fill in the missing fractions.

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Answer 4:

(a) 4/10
 (b) 8/21
 (c) 6/6
 (d) 7/27


Question 5

Javed was given of a basket of oranges. What fraction of oranges was left in the basket?

Answer 5:

Total = 1

Fraction of Orange left  NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Thus, 2/7 oranges was left in the basket.


Exercise 7.6

Question 1: 

Solve

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Answer 1:

(a) L.C.M. of 3 and 7 is 21

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

(b) L.C.M. of 10 and 15 is 30

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRevNCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

(c) L.C.M. of 9 and 7 is 63

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev  NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

(d)

 NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

(e)

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

(f)

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

(g) 

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

(h)

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

(i)

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

(j)

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

(k)

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

(l)

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

(m)

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

(n)

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev


Question 2

Sarita bought 2/5 metre of ribbon and Lalita 3/4 metre of ribbon. What is the total length of the ribbon they bought?

Answer 2:

Ribbon bought by Sarita = 2/5 m and Ribbon bought by Lalita = 3/4 m

Total length of ribbon = NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Therefore, they bought  NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev  of ribbon.


Question 3 

Naina was given NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev piece of cake and Najma was given NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev piece of cake. Find the total amount of cake was given to both of them.

Answer 3:

Cake taken by Naina = NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev piece and Cake taken by Najma NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev piece

Total cake taken 

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Therefore, the total consumption of cake is  NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev


Question 4

Fill in the boxes: 

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev
NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Answer 4:

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev


Question 5

Complete the addition-subtraction box.

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRevNCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Answer 5:

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRevNCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev


Question 6

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?

Answer 6:

Total length of wire = 7/8 meter

Length of first part = 1/4 meter 

Remaining part   NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev  [∴ L.C.M. of 8 and 4 is 8]

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Therefore, the length of remaining part is 5/8 meter.


Question 7

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?

Answer 7:

Total distance between school and house 9/10 km

Distance covered by bus = 1/2 km

Remaining distance NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev [∴ L.C.M. of 10 and 2 is 10]

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Therefore, the distance covered by walking us 2/5 km.


Question 8

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?

Answer 8:

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev  [∴ L.C.M. of 6 and 5 is 30]

∴    NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

⇒   NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

∴ Asha’s bookshelf is more covered than Samueal.

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Question 9
Jaidev takes NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRevminutes to walk across the school ground. Rahul takes 7/4 minutes to do the same. Who takes less time and by what fraction?

Answer 9:

Time taken by jaidev =  NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRevminutes = 11/5 minutes

Time taken by Rahul =  7/4 minutes

Difference  NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev [∴ L.C.M. of 5 and 4 is 20]

NCERT Solutions(Part - 2) - Fractions Class 6 Notes | EduRev

Thus, Rahul takes less time, which is 9/20 minutes.

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