Courses

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

## 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 the shaded portion as a 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.

Ascending order:

Descending order:

Ascending order:

Descending order:

(c) Number line

Question 2: Compare the fractions and put an appropriate sign.

Question 3: Make five more each pairs and put appropriate signs.

Question 4: Look at the figures and write ‘<’ or ‘>’ between the given pairs of fractions.

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

Five more such problems:

Solution:

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

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

Equivalent groups:

Question 7: Find answers to the following. Write and indicate how you solved them.

(a)

(b)

(c)

(d)

[∴ L.C.M. of 9 and 5 is 45]

[∴ L.C.M. of 16 and 9 is 144]

[∴ L.C.M. of 5 and 20 is 100]

[∴ L.C.M. of 15 and 30 is 30]

Question 8: Ila read 25 pages of a book containing 100 pages. Lalita read 2/5 of the same book. Who reads less?

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

Question 9: Rafiq exercised for 3/6 of an hour, while Rohit exercised for 3/4of an hour. Who exercised for a longer time?

Rafiq exercised 3/6 of an hour.

Rohit exercised 3/4 of an hour.

Therefore, Rohit exercised for a longer time.

Question 10: 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?

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

Question 1: Write these fractions appropriately as additions or subtractions:

(a)

(b)

(c)

Question 2: Solve:

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?

Fraction of wall painted by Shubham = 2/3

Fraction of wall painted by Madhavi = 1/3

Total painting by both of them =

Therefore, they painted the complete wall.

Question 4: Fill in the missing fractions.

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

Question 5: Javed was given a basket of oranges. What fraction of oranges was left in the basket?

Total = 1

Fraction of Orange left

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

Exercise 7.6

Question 1: Solve

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

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

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

(d)

(e)

(f)

(g)

(h)

(i)

(j)

(k)

(l)

(m)

(n)

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?

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

The total length of ribbon =

Therefore, they bought    of ribbon.

Question 3: 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.

Cake taken by Naina =  piece and Cake taken by Najma  piece

Total cake taken

Therefore, the total consumption of cake is

Question 4: Fill in the boxes:

Question 5: Complete the addition-subtraction box.

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?

The total length of wire = 7/8 meter

Length of first part = 1/4 meter

Remaining part     [∴ L.C.M. of 8 and 4 is 8]

Therefore, the length of the 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?

The total distance between school and house 9/10 km

Distance covered by bus = 1/2 km

Remaining distance  [∴ L.C.M. of 10 and 2 is 10]

Therefore, the distance covered by walking is 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?

[∴ L.C.M. of 6 and 5 is 30]

∴

⇒

∴ Asha’s bookshelf is more covered than Samuel.

Question 9: Jaidev takes minutes to walk across the school ground. Rahul takes 7/4 minutes to do the same. Who takes less time and by what fraction?

Time taken by Jaidev =  minutes = 11/5 minutes

Time taken by Rahul =  7/4 minutes

Difference   [∴ L.C.M. of 5 and 4 is 20]

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

Offer running on EduRev: Apply code STAYHOME200 to get INR 200 off on our premium plan EduRev Infinity!

## Mathematics (Maths) Class 6

185 videos|229 docs|43 tests

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

;