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NCERT Solutions for Class 6 Maths Chapter 7: Fractions - Exercise 7.2

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NCERT Solutions for Class 6 Maths Chapter 7 (Ex 7.2)

Free PDF download of NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.2 (Ex 7.2) and all chapter exercises at one place prepared by an expert teacher as per NCERT (CBSE) books guidelines. Class 6 Maths Chapter 7 Fractions Exercise 7.2 Questions with Solutions to help you to revise complete Syllabus and Score More marks. Register and get all exercise solutions in your emails.


Class:

NCERT Solutions for Class 6

Subject:

Class 6 Maths

Chapter Name:

Chapter 7 - Fractions

Exercise:

Exercise - 7.2

Content-Type:

Text, Videos, Images and PDF Format

Academic Year:

2023-24

Medium:

English and Hindi

Available Materials:

  • Chapter Wise

  • Exercise Wise

Other Materials

  • Important Questions

  • Revision Notes


 

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Access NCERT Solutions for Class 6 Mathematics Chapter 7 – Fractions

Exercise 7.2

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

(i) $\dfrac{1}{2}$, $\dfrac{1}{4}$, $\dfrac{3}{4}$, $\dfrac{4}{4}$

Ans: A number line is a line on which the numbers are marked at equal intervals. 

We know that the above given all the points lie between 0 and 1 on a number line. 

To locate the above given points, we will distribute the length between 0 and 1 in four equal parts. We will then locate all the given points on the number line. 

We will first locate $\dfrac{1}{2}$ on the number line. It is obtained as follows,


1/2 on the number line


We will then locate $\dfrac{1}{4}$ on the number line. It is obtained as follows,


1/4 on the number line


We will then locate $\dfrac{3}{4}$ on the number line. It is obtained as follows,


3/4 on the number line


We will then locate $\dfrac{4}{4}$ on the number line. It is obtained as follows,


4/4 on the number line


Therefore, on plotting all the given points on the number line, we get,


All the given points on the number line


(iii) $\dfrac{1}{8}$, $\dfrac{2}{8}$, $\dfrac{3}{8}$, $\dfrac{7}{8}$

Ans: A number line is a line on which the numbers are marked at equal intervals. 

We know that the above given all the points lie between 0 and 1 on a number line. 

To locate the above given points, we will distribute the length between 0 and 1 in eight equal parts. We will then locate all the given points on the number line. 

We will first locate $\dfrac{1}{8}$ on the number line. It is obtained as follows,


1/8 on the number line


We will then locate $\dfrac{2}{8}$ on the number line. It is obtained as follows,


2/8 on the number line


We will then locate $\dfrac{3}{8}$ on the number line. It is obtained as follows,


3/8 on the number line


We will then locate $\dfrac{7}{8}$ on the number line. It is obtained as follows,


7/8 on the number line


Therefore, on plotting all the given points on the number line, we get,


All the given points on the number line


(iii) $\dfrac{2}{5}$, $\dfrac{3}{5}$, $\dfrac{8}{5}$, $\dfrac{4}{5}$

Ans: A number line is a line on which the numbers are marked at equal intervals. 

We know that the above given all the points lie between 0 and 2 on a number line. 

To locate the above given points, we will distribute the length between 0 and 1 in five equal parts. Also, we will consider length between 1 and 2 and distribute it into five equal parts. We will then locate all the given points on the number line. 

We will first locate $\dfrac{2}{5}$ on the number line. It is obtained as follows,


2/5 on the number line


We will then locate $\dfrac{3}{5}$ on the number line. It is obtained as follows,


3/5 on the number line


We will then locate $\dfrac{8}{5}$ on the number line. It is obtained as follows,


8/5 on the number line


We will then locate $\dfrac{4}{5}$ on the number line. It is obtained as follows,


4/5 on the number line


Therefore, on plotting all the given points on the number line, we get,


All the given points on the number line


2. Express the following fractions as mixed fractions:

(i) $\dfrac{20}{3}$

Ans: A mixed fraction is a fraction that is formed when a whole number and a fraction are combined together.

Mixed fractions are expressed as follows,

$W\dfrac{a}{b}$

Where $W$ is any whole number and $\dfrac{a}{b}$ is any fraction.  

It is also expressed as $Q\dfrac{R}{D}$.

Here $Q$ is the quotient of the long division, $R$ is the remainder and $D$ is the divisor. 

An improper fraction is a fraction in which the value of the numerator is greater than the value of the denominator. 

We are given an improper fraction. We are required to change it into a mixed fraction. 

To do so, we will first divide the numerator with the denominator using the long division method. 

$3\overset{6}{\overline{) 20}}$

$ -18 \\ $

$\overline{\,\,\,\,\,\,2} \\ $

After this we will express the result obtained as a mixed fraction using the concept $Q\dfrac{R}{D}$.

$\dfrac{20}{3}=6\dfrac{2}{3}$

Therefore, $\dfrac{20}{3}$ expressed as a mixed fraction is $6\dfrac{2}{3}$.


(ii) $\dfrac{11}{5}$

Ans: A mixed fraction is a fraction that is formed when a whole number and a fraction are combined together.

Mixed fractions are expressed as follows,

$W\dfrac{a}{b}$

Where $W$ is any whole number and $\dfrac{a}{b}$ is any fraction.  

It is also expressed as $Q\dfrac{R}{D}$.

Here $Q$ is the quotient of the long division, $R$ is the remainder and $D$ is the divisor. 

An improper fraction is a fraction in which the value of the numerator is greater than the value of the denominator. 

We are given an improper fraction. We are required to change it into the mixed fraction. 

To do so, we will first divide the numerator with the denominator using the long division method. 

$5\overset{2}{\overline{) 11}}$

$ -10 \\ $

$\overline{\,\,\,\,\,\,1} \\ $

After this we will express the result obtained as a mixed fraction using the concept $Q\dfrac{R}{D}$.

$\dfrac{11}{5}=2\dfrac{1}{5}$

Therefore, $\dfrac{11}{5}$ expressed as a mixed fraction is $2\dfrac{1}{5}$.


(iii) $\dfrac{17}{7}$

Ans: A mixed fraction is a fraction that is formed when a whole number and a fraction are combined together.

Mixed fractions are expressed as follows,

$W\dfrac{a}{b}$

Where $W$ is any whole number and $\dfrac{a}{b}$ is any fraction.  

It is also expressed as $Q\dfrac{R}{D}$.

Here $Q$ is the quotient of the long division, $R$ is the remainder and $D$ is the divisor. 

An improper fraction is a fraction in which the value of the numerator is greater than the value of the denominator. 

We are given an improper fraction. We are required to change it into a mixed fraction. 

To do so, we will first divide the numerator with the denominator using the long division method. 

$7\overset{2}{\overline{) 17}}$

$ -14 \\ $

$\overline{\,\,\,\,\,\,3} \\ $

After this we will express the result obtained as a mixed fraction using the concept $Q\dfrac{R}{D}$.

$\dfrac{17}{7}=2\dfrac{3}{7}$

Therefore, $\dfrac{17}{7}$ expressed as a mixed fraction is $2\dfrac{3}{7}$.


(iv) $\dfrac{28}{5}$

Ans: A mixed fraction is a fraction that is formed when a whole number and a fraction are combined together.

Mixed fractions are expressed as follows,

$W\dfrac{a}{b}$

Where $W$ is any whole number and $\dfrac{a}{b}$ is any fraction.  

It is also expressed as $Q\dfrac{R}{D}$.

Here $Q$ is the quotient of the long division, $R$ is the remainder and $D$ is the divisor. 

An improper fraction is a fraction in which the value of the numerator is greater than the value of the denominator. 

We are given an improper fraction. We are required to change it into a mixed fraction. 

To do so, we will first divide the numerator with the denominator using the long division method. 

$5\overset{5}{\overline{) 28}}$

$ -25 \\ $

$\overline{\,\,\,\,\,\,3} \\ $

After this we will express the result obtained as a mixed fraction using the concept $Q\dfrac{R}{D}$.

$\dfrac{28}{5}=5\dfrac{3}{5}$

Therefore, $\dfrac{28}{5}$ expressed as a mixed fraction is $5\dfrac{3}{5}$.


(v) $\dfrac{19}{6}$

Ans: A mixed fraction is a fraction that is formed when a whole number and a fraction are combined together.

Mixed fractions are expressed as follows,

$W\dfrac{a}{b}$

Where $W$ is any whole number and $\dfrac{a}{b}$ is any fraction.  

It is also expressed as $Q\dfrac{R}{D}$.

Here $Q$ is the quotient of the long division, $R$ is the remainder and $D$ is the divisor. 

An improper fraction is a fraction in which the value of the numerator is greater than the value of the denominator. 

We are given an improper fraction. We are required to change it into a mixed fraction. 

To do so, we will first divide the numerator with the denominator using the long division method. 

$6\overset{3}{\overline{) 19}}$

$ -18 \\ $

$\overline{\,\,\,\,\,\,1} \\ $

After this we will express the result obtained as a mixed fraction using the concept $Q\dfrac{R}{D}$.

$\dfrac{19}{6}=3\dfrac{1}{6}$

Therefore, $\dfrac{19}{6}$ expressed as a mixed fraction is $3\dfrac{1}{6}$.


(vi) $\dfrac{35}{9}$

Ans: A mixed fraction is a fraction that is formed when a whole number and a fraction are combined together.

Mixed fractions are expressed as follows,

$W\dfrac{a}{b}$

Where $W$ is any whole number and $\dfrac{a}{b}$ is any fraction.  

It is also expressed as $Q\dfrac{R}{D}$.

Here $Q$ is the quotient of the long division, $R$ is the remainder and $D$ is the divisor. 

An improper fraction is a fraction in which the value of the numerator is greater than the value of the denominator. 

We are given an improper fraction. We are required to change it into the mixed fraction. 

To do so, we will first divide the numerator with the denominator using the long division method. 

$9\overset{3}{\overline{) 35}}$

$ -27 \\ $

$\overline{\,\,\,\,\,\,8} \\ $

After this we will express the result obtained as a mixed fraction using the concept $Q\dfrac{R}{D}$.

$\dfrac{35}{9}=3\dfrac{8}{9}$

Therefore, $\dfrac{35}{9}$ expressed as a mixed fraction is $3\dfrac{8}{9}$.


3. Express the following as improper fractions:

(i) $7\dfrac{3}{4}$

Ans: An improper fraction is a fraction in which the value of the numerator is greater than the value of the denominator. 

A mixed fraction is a fraction that is formed when a whole number and a fraction are combined together.

Mixed fractions are expressed as follows,

$W\dfrac{a}{b}$

Where $W$ is any whole number and $\dfrac{a}{b}$ is any fraction.  

It is also expressed as $Q\dfrac{R}{D}$.

Here $Q$ is the quotient of the long division, $R$ is the remainder and $D$ is the divisor. 

We are given a mixed fraction. We are required to change it into the improper fraction. 

To do so, we will find the numerator of the improper fraction. The numerator is obtained by multiplying the divisor with the quotient and then adding reminder to it. On doing so, we obtain,

$7\dfrac{3}{4}=\dfrac{\left( 4\times 7 \right)+3}{4}$

$7\dfrac{3}{4}=\dfrac{21+3}{4}$

$7\dfrac{3}{4}=\dfrac{24}{4}$

Therefore, $7\dfrac{3}{4}$ expressed as an improper fraction is $\dfrac{24}{4}$.


(ii) $5\dfrac{6}{7}$

Ans: An improper fraction is a fraction in which the value of the numerator is greater than the value of the denominator. 

A mixed fraction is a fraction that is formed when a whole number and a fraction are combined together.

Mixed fractions are expressed as follows,

$W\dfrac{a}{b}$

Where $W$ is any whole number and $\dfrac{a}{b}$ is any fraction.  

It is also expressed as $Q\dfrac{R}{D}$.

Here $Q$ is the quotient of the long division, $R$ is the remainder and $D$ is the divisor. 

We are given a mixed fraction. We are required to change it into the improper fraction. 

To do so, we will find the numerator of the improper fraction. The numerator is obtained by multiplying the divisor with the quotient and then adding a reminder to it. On doing so, we obtain,

$5\dfrac{6}{7}=\dfrac{\left( 7\times 5 \right)+6}{7}$

$5\dfrac{6}{7}=\dfrac{35+6}{7}$

$5\dfrac{6}{7}=\dfrac{41}{7}$

Therefore, $5\dfrac{6}{7}$ expressed as an improper fraction is $\dfrac{41}{7}$.


(iii) $2\dfrac{5}{6}$

Ans: An improper fraction is a fraction in which the value of the numerator is greater than the value of the denominator. 

A mixed fraction is a fraction that is formed when a whole number and a fraction are combined together.

Mixed fractions are expressed as follows,

$W\dfrac{a}{b}$

Where $W$ is any whole number and $\dfrac{a}{b}$ is any fraction.  

It is also expressed as $Q\dfrac{R}{D}$.

Here $Q$ is the quotient of the long division, $R$ is the remainder and $D$ is the divisor. 

We are given a mixed fraction. We are required to change it into the improper fraction. 

To do so, we will find the numerator of the improper fraction. The numerator is obtained by multiplying the divisor with the quotient and then adding a reminder to it. On doing so, we obtain,

$2\dfrac{5}{6}=\dfrac{\left( 6\times 2 \right)+5}{6}$

$2\dfrac{5}{6}=\dfrac{12+5}{6}$

$2\dfrac{5}{6}=\dfrac{17}{6}$

Therefore, $2\dfrac{5}{6}$ expressed as an improper fraction is $\dfrac{17}{6}$.


(iv) $10\dfrac{3}{5}$

Ans: An improper fraction is a fraction in which the value of the numerator is greater than the value of the denominator. 

A mixed fraction is a fraction that is formed when a whole number and a fraction are combined together.

Mixed fractions are expressed as follows,

$W\dfrac{a}{b}$

Where $W$ is any whole number and $\dfrac{a}{b}$ is any fraction.  

It is also expressed as $Q\dfrac{R}{D}$.

Here $Q$ is the quotient of the long division, $R$ is the remainder and $D$ is the divisor. 

We are given a mixed fraction. We are required to change it into the improper fraction. 

To do so, we will find the numerator of the improper fraction. The numerator is obtained by multiplying the divisor with the quotient and then adding a reminder to it. On doing so, we obtain,

$10\dfrac{3}{5}=\dfrac{\left( 5\times 10 \right)+3}{5}$

$10\dfrac{3}{5}=\dfrac{50+3}{5}$

$10\dfrac{3}{5}=\dfrac{53}{5}$

Therefore, $10\dfrac{3}{5}$ expressed as an improper fraction is $\dfrac{53}{5}$.


(v) $9\dfrac{3}{7}$

Ans: An improper fraction is a fraction in which the value of the numerator is greater than the value of the denominator. 

A mixed fraction is a fraction that is formed when a whole number and a fraction are combined together.

Mixed fractions are expressed as follows,

$W\dfrac{a}{b}$

Where $W$ is any whole number and $\dfrac{a}{b}$ is any fraction.  

It is also expressed as $Q\dfrac{R}{D}$.

Here $Q$ is the quotient of the long division, $R$ is the remainder and $D$ is the divisor. 

We are given a mixed fraction. We are required to change it into the improper fraction. 

To do so, we will find the numerator of the improper fraction. The numerator is obtained by multiplying the divisor with the quotient and then adding a reminder to it. On doing so, we obtain,

$9\dfrac{3}{7}=\dfrac{\left( 7\times 9 \right)+3}{7}$

$9\dfrac{3}{7}=\dfrac{63+3}{7}$

$9\dfrac{3}{7}=\dfrac{66}{7}$

Therefore, $9\dfrac{3}{7}$ expressed as an improper fraction is $\dfrac{66}{7}$.


(vi) $8\dfrac{4}{9}$

Ans: An improper fraction is a fraction in which the value of the numerator is greater than the value of the denominator. 

A mixed fraction is a fraction that is formed when a whole number and a fraction are combined together.

Mixed fractions are expressed as follows,

$W\dfrac{a}{b}$

Where $W$ is any whole number and $\dfrac{a}{b}$ is any fraction.  

It is also expressed as $Q\dfrac{R}{D}$.

Here $Q$ is the quotient of the long division, $R$ is the remainder and $D$ is the divisor. 

We are given a mixed fraction. We are required to change it into the improper fraction. 

To do so, we will find the numerator of the improper fraction. The numerator is obtained by multiplying the divisor with the quotient and then adding reminder to it. On doing so, we obtain,

$8\dfrac{4}{9}=\dfrac{\left( 9\times 8 \right)+4}{9}$

$8\dfrac{4}{9}=\dfrac{72+4}{9}$

$8\dfrac{4}{9}=\dfrac{76}{9}$

Therefore, $8\dfrac{4}{9}$ expressed as an improper fraction is $\dfrac{76}{9}$.


NCERT Solutions for Class 6 Maths Chapter 7 Fractions Exercise 7.2

Opting for the NCERT solutions for Ex 7.2 Class 6 Maths is considered as the best option for the CBSE students when it comes to exam preparation. This chapter consists of many exercises. Out of which we have provided the Exercise 7.2 Class 6 Maths NCERT solutions on this page in PDF format. You can download this solution as per your convenience or you can study it directly from our website/ app online.

Vedantu in-house subject matter experts have solved the problems/ questions from the exercise with the utmost care and by following all the guidelines by CBSE. Class 6 students who are thorough with all the concepts from the Maths textbook and quite well-versed with all the problems from the exercises given in it, then any student can easily score the highest possible marks in the final exam. With the help of this Class 6 Maths Chapter 7 Exercise 7.2 solutions, students can easily understand the pattern of questions that can be asked in the exam from this chapter and also learn the marks weightage of the chapter. So that they can prepare themselves accordingly for the final exam.

Besides these NCERT solutions for Class 6 Maths Chapter 7 Exercise 7.2, there are plenty of exercises in this chapter which contain innumerable questions as well. All these questions are solved/answered by our in-house subject experts as mentioned earlier. Hence all of these are bound to be of superior quality and anyone can refer to these during the time of exam preparation. In order to score the best possible marks in the class, it is really important to understand all the concepts of the textbooks and solve the problems from the exercises given next to it. 

Do not delay any more. Download the NCERT solutions for Class 6 Maths Chapter 7 Exercise 7.2 from Vedantu website now for better exam preparation. If you have the Vedantu app in your phone, you can download the same through the app as well. The best part of these solutions is these can be accessed both online and offline as well.