# NCERT Solutions for Class 6 Maths Chapter 7 Fractions

**NCERT solutions for class 6 maths chapter 7 Fractions- **A fraction is a number representing part of a whole. The whole may be a single object or a group of the object and the parts have to be equal. In class 4th and 5th NCERT, you have already learnt about the representation of fractions. In NCERT Class 6 solution for chapter 7, you will learn about the various operations and applications of fractions in mathematics. You can also refer to the NCERT books for Class 6 Maths to solve the problems covered under NCERT SOlutions for Class 6. The subtopics covered under the NCERT Class 6 solution for Fractions** **chapter 4 are the representation of fractions on the number line, proper- improper and mixed fractions, the simplest form of the fractions, equivalent fractions, comparing fractions, comparing, unlike fractions, comparing like fractions, subtraction, and addition of fractions and adding or subtracting fractions. CBSE NCERT solutions for class 6 maths chapter 7 Fractions is covering the problems from each subtopic. In this chapter of NCERT Syllabus for Class 6 Maths, there are a total of 37 questions in 6 exercises. To help students in their preparation, we have designed NCERT Class 6 solutions for chapter 7 Fractions. NCERT Solutions are also available class wise and subject wise.

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## ** NCERT solutions for class 6 maths chapter 7 Fractions Exercise: 7.1 **

** Q1 ** Write the fraction representing the shaded portion.

** Answer: ** (i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

(x)

This is

This is

This is

** Answer: **Yes, the above fractions are wrong. For these fractions to be correct areas of each part should be same. But clearly, in the given figure, the areas are not the same.

** Q5 ** What fraction of an hour is minutes?

** Answer: **We know that 1 hour has 60 minutes.

Thus fraction of 40 minutes is :-

** Answer: ** Arya needs to divide one sandwich into 3 equal parts (as three persons are there.)

Thus each sandwich is divided into 3 parts.

** Answer: **Since they have to distribute 1 part in 3 people, hence the fraction received by each boy will be:-

** Answer: **The required fraction is:-

** Q8 ** Write the natural numbers from to What fraction of them are prime numbers?

** Answer: **We have :- 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.

Prime number :- 2, 3, 5, 7, 11.

Thus the fraction of prime numbers is:-

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

** Answer: ** The natural numbers are :- 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113.

Prime numbers are :- 103, 107, 109, 113.

Thus fraction is :- _{}

** Q10 ** What fraction of these circles have ’s in them?

** Answer: ** The number of boxes with X in them = 4

Total number of boxes = 8.

The required fraction is :

** 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?

** Answer: ** The fraction of the CDs she bought is :

And the fraction of CDs received as gifts is :

** NCERT Solutions for Class** **6**** Maths Topic: Fractions on the Number Line **

** Answer: ** First we write as and divide the number line into 5 equal parts.

** Answer: **

First, we write as and divide the number line in 10 equal parts.

** Q3 ** Can you show any other fraction between and ?Write five more fractions that you can show.

** Answer: **

Yes. There are infinite number of fraction between and (Numerator is less than denominator)

Five more fractions are:

** Q4 ** How many fractions lie between and ? Think, discuss and write your answer?

** Answer: ** There are infinite number of fractions between and .

A fraction is of form and for a number lying between and , the numerator has to be less than the denominator.

**NCERT Solutions for Class** **6**** Maths ****Topic: Proper Fractions **

** Q1 Give a proper fraction : ** (a) whose numerator is and the denominator is

(b) whose denominator is and the numerator is

(c) whose numerator and denominator add up to . How many fractions of this kind can you make?

(d) whose denominator is more than the numerator.

(Give any five. How many more can you make?)

** Answer: ** A proper fraction whose:

(a) the numerator is and the denominator is =

(b) denominator is and numerator is =

(c) numerator and denominator add up to .

Pairs of numbers having sum 10 =

Therefore, the proper fractions are

(d) denominator is more than the numerator. =

** Q2 ** A fraction is given. How will you decide, by just looking at it, whether, the fraction is

(a) less than ?

(b) equal to ?

** Answer: ** (a) If the numerator is smaller than the denominator, then the fraction will be less than .

(b) If the numerator is equal to the denominator, then the fraction will be equal to .

## ** NCERT solutions for class 6 maths chapter 7 Fractions Exercise: 7.2 **

** Q1 (a) ** Draw number lines and locate the points on them :

** Answer: ** The number line is given below:-

** Q1 (b) ** Draw number lines and locate the points on them :

** Answer: ** The number line is shown below with the required points marked.

** Q1 (c) ** Draw number lines and locate the points on them :

** Answer: ** The number line locating the given fraction is shown below:-

** Q2 ** Express the following as mixed fractions :

(a)

(b)

(c)

(d)

(e)

(f)

** Answer: ** (a)

(b)

(c)

(d)

(e)

(f)

** Q3 ** Express the following as improper fractions :

(a)

(b)

(c)

(d)

(e)

(f)

** Answer: ** The improper fractions of the mixed fractions are given below :-

(a)

(b)

(c)

(d)

(e)

(f)

## ** ****NCERT Solutions for Class** **6**** Maths ** Topic: Simplest Form of a Fraction

**NCERT Solutions for Class**

**6**

**Maths**Topic: Simplest Form of a Fraction

** Q1 ** Write the simplest form of :

(i)

(ii)

(iii)

(iv)

(v)

** Answer: ** (i)

(ii)

(iii)

(iv)

(v)

Answer: Yes, is in its simplest form because 49 and 64 has no common divisor.

**NCERT Solutions for Class** **6**** Maths **** Topic: Equivalent Fractions **

** Q1 ** Are and ; and ; and and equivalent? Give reason

** Answer: ** and ; and are not equivalent because

and

but

** Q3 ** Identify the fractions in each. Are these fractions equivalent?

** Answer: **

(i) (ii) (iii) (iv)

all fractions in it simplest form is

So all fractions are equivalent

** Q1 ** Find five equivalent fractions of each of the following:

(i)

(ii)

(iii)

(iv)

** Answer: ** (i)

(ii)

(iii)

(iv)

**NCERT Solutions for Class** **6**** Maths ****Exercise: 7.3 **

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

** Answer: ** In the case of (a), we have:-

(i)

(ii)

(iii)

(iv)

Hence all fractions are equal in this case.

In the case of (b), we have:-

(i)

(ii)

(iii)

(iv)

(v)

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

** Answer: ** The fractions of each are given below :-

(a)

(b)

(c)

(d)

(e)

Similarly,

(i)

(ii)

(iii)

(iv)

(v)

** Q3 (a) ** Replace in each of the following by the correct number :

** Answer: ** The correct number is 28.

Thus .

** Q3 (b) ** Replace in each of the following by the correct number :

** Answer: ** (b) The correct answer is 16.

** Q3 (e) ** Replace in each of the following by the correct number :

** Answer: ** The correct number is .

Multiplying numerator and denomenator by .

We have :-

Hence

** Q4 ** Find the equivalent fraction of having

(a) denominator

(b) numerator

(c) denominator

(d) numerator

** Answer: ** (a) Multiply numerator and denominator by 4, we have :

(b) Multiply numerator and denominator by 3, we have :

(c) Multiply numerator and denominator by 6, we have :

(d) Multiply numerator and denominator by 9, we have :

** Q5 ** Find the equivalent fraction of with

(a) numerator

(b) denominator

** Answer: ** The required equivalent fractions are given below :-

(a) Divide both numerator and denomenator by 4.

(b) Divide both numerator and denomenator by 12.

** Q6 (a) ** Check whether the given fractions are equivalent :

** Answer: ** Multiply both numerator and denominator by 6.

** Q6 (b) ** Check whether the given fractions are equivalent :

** Answer: **

Multiply both numerator and denominator by 4, we get :

** Q6 (c) ** Check whether the given fractions are equivalent :

** Answer: ** Multiply both numerator and denominator by , we get :

Hence these two fractions are not the same.

** Q7 ** Reduce the following fractions to simplest form :

(a)

(b)

(c)

(d)

(e)

** Answer: ** (a)

(b)

(c)

(d)

(e)

** Answer: ** The fraction of pencils used by Ramesh is:-

The fraction of pencils used by Sheelu is:-

The fraction of pencils used by Jamaal is:-

Thus, the fractions of pencils used by each are the same.

** Q9 ** Match the equivalent fractions and write two more for each.

(i) (a)

(ii) (b)

(iii) (c)

(iv) (d)

(v) (e)

** Answer: ** (i)

(ii)

(iii)

(iv)

(v)

**NCERT Solutions for Class** **6**** Maths **** Topic: Comparing Fractions **

** Answer: ** My sister gets more because

## ** NCERT Solutions for Class Maths Topic: Comparing Like Fractions **

** Q1 ** Which is the larger fraction?

(i) or

(ii) or

(iii) or

** Answer: ** The fractions are shown below using greater than or less than sign

(i)

(ii)

(iii)

**NCERT class 6 maths chapter 7 Fractions Topic: Arrangement of Fractions **

** Q1 (1) ** Arrange the following in ascending and descending order :

** Answer: ** (a)

and

** Q1 (b) ** Arrange the following in ascending and descending order :

** Answer: ** The following in ascending and descending order are :

(b)

** Q1 (c) ** Arrange the following in ascending and descending order :

Write 3 more similar examples and arrange them in ascending and descending order.

** Answer: ** The following in ascending and descending order are:

(i)

and

(ii)

and

(iii)

and

## ** NCERT solutions for class 6 maths chapter 7 Fractions Exercise: 7.4 **

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

** Answer: ** (a)

(b)

(c)

From the above number line we can compare the given numbers easily.

** Q2 ** Compare the fractions and put an appropriate sign.

(a)

(b)

(c)

(d)

** Answer: ** The comparison is given below :-

(a)

(b)

(c)

(d)

** Q4 (a) ** Look at the figures and write between the given pairs of fractions.

(a)

Answer: With the help of given diagram :

Thus

** Q4 (b) ** Look at the figures and write between the given pairs of fractions.

(b)

** Answer: ** From the diagram it is cleat that :

** Q4 (c) ** Look at the figures and write between the given pairs of fractions.

(c)

** Answer: ** From the given diagram, we can clearly say that :-

** Q4 (d) ** Look at the figures and write ‘<’ or ‘>’, ‘=’ between the given pairs of fractions.

(d)

** Answer: ** From the diagram it is clear that :-

** Q5 ** How quickly can you do this? Fill appropriate sign.

(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

(i)

(j)

(k)

** Answer: ** (a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

(i)

(j)

(k)

(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

(i)

( j)

(k)

(l)

** Answer: ** (i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

(x)

(xi)

(xii)

** Q7 (a) ** Find answers to the following. Write and indicate how you solved them.

** Answer: ** No.

Multiply numerator and denomenator by .

We have :

Hence

** Q7 (b) ** Find answers to the following. Write and indicate how you solved them.

Is equal to ?

** Answer: ** We have .

** Q7 (c) ** Find answers to the following. Write and indicate how you solved them.

Is equal to

** Answer: ** Yes.

By multiplying numerator and denominator by 5, we get :

** Q7 (d) ** Find answers to the following. Write and indicate how you solved them.

Is equal to ?

** Answer: ** No.

Multiply both numerator and denomenator by 2, we get :-

** Q8 ** Ila read pages of a book containing pages. Lalita read of the same book. Who read less?

** Answer: ** The fraction of the book read by Ila is:-

So we can compare the fraction now:-

Hence Ila reads less.

** Answer: ** Who exercised for a longer time can be found by comparing the fraction of their work time.

Hence Rohit exercised for a longer time.

** Answer: **In class A, the fraction of students passed with or above marks :

And, in class B, the fraction is :

Hence the required fraction is same in both the classes.

## ** ****NCERT class 6 maths chapter 7 Fractions **Topic: Addition and Subtraction of Fractions

**NCERT class 6 maths chapter 7 Fractions**Topic: Addition and Subtraction of Fractions

** Answer: ** mother gave to me part

mother gave to my brother part

She gave both off us

part

** Answer: ** Neelu picked stones

brother picked up the stones

The total fraction of the stones they both pick up together

of total stones.

** Answer: ** He put covers on Monday=

He put the cover on Tuesday =

and the remaining on Wednesday.

Thus, the fraction of the covers he put on Wednesday =

## **NCERT class 6 maths chapter 7 Fractions**** Topic: Adding or Substracting like Fractions **

** Q1 ** Find the difference between and .

** Answer: ** The difference between and is given by

** Answer: ** Seema ate =

I eat =

Total part eaten is

The left part would be

** Answer: ** I ate=

My friend ate =

we both eat

the watermelon more I eat than my friend is

The portion of the watermelon remained

## ** NCERT solutions for class 6 maths chapter 7 Fractions Exercise: 7.5 **

** Q1 ** Write these fractions appropriately as additions or subtractions :

** Answer: ** In case (a) - Addition

case (b) - Subtraction

case (c) - Addition

** Answer: ** Total wall painted = Wall painted by Subham + Wall pained by Madhavi

Hence the whole wall is painted by them.

** Q5 ** Javed was given of a basket of oranges. What fraction of oranges was left in the basket?

** Answer: ** The total fraction of oranges in the basket are .

Thus the fraction of oranges left is :

**NCERT class 6 maths chapter 7 Fractions** ** Topic: Addition and Subtraction of Fractions **

** Q1 ** Add and .

** Answer: ** Addition of and is given by

## ** NCERT solutions for class 6 maths chapter 7 Fractions Exercise: 7.6 **

** Q1 ** Solve

(a) (b) (c)

(d) (e) (f)

** Answer: ** (a)

(b)

(c)

(d)

(e)

(f)

** Answer: ** The total length of ribbon is given :-

Thus total length of ribbon is _{} .

** Answer: ** Total amount of cake given to both = Cake given to Naina + Cake given to Najma

** Answer: ** Let the length of another piece of wire be x.

Thus,

Hence the length of other part is _{} .

** Answer: ** The distance Nandini walked is given by :-

Hence she walked _{} .

** Answer: **If we compare the bookshelves of both, we obtain that :

Also,

Hence the bookshelf of Asha is more full and by fraction.

** Answer: ** Firstly, let us convert the time taken by Jaidev in the improper fraction from mixed fraction.

Now, comparing both, we have :

Also,

Hence Rahul takes less time as compared to Jaidev by _{} a fraction.

### **NCERT Solutions for Class 6 Mathematics Chapter wise **

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Chapter - 8 | |

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### ** NCERT Solutions for Class 6 Subject wise **

**How to use NCERT solutions for class 6 maths chapter 7 Fractions? **

- Learn the representation of fractions using the equal part concept.
- Go through the text given in the textbook to learn various applications and concepts.
- Have a glance through some examples to understand the answering of a particular kind of question with the help of NCERT solutions for class 6.
- Now you can jump to the practice problems.
- While practicing you can use NCERT solutions for class 6 maths chapter 7 Fractions as a helping tool.

* Keep learning and working hard! *

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