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Important Questions for CBSE Class 7 Maths Chapter 2 - Fractions and Decimals

Last updated date: 15th Jul 2024
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CBSE Class 7 Mathematics Chapter 2 - Fractions and Decimals with Important Questions - Free PDF Download

The important questions for class 7 maths chapter 2 are always available for the students right here. They can download a PDF version of all the questions along with their solutions from the different links which are provided right there. There is simply not a single speck of doubt about the fact that when it comes to class 7, it can be considered as a very important stage in the academic growth of the students. The students are on the verge of being introduced to new and interesting topics, especially in the subject of Mathematics. This is why having some extra questions for the class 7 maths fractions and decimals chapter can actually be a very good idea for them to be familiar with the concept. We are pretty sure that with the help of these questions, students can gain an insight into the chapter and hence will be able to perform in a better way in their examinations.

Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students. Maths Students who are looking for better solutions, they can download Class 7 Maths NCERT Solutions to help you to revise the complete syllabus and score more marks in your examinations. Register Online for NCERT Solutions Class 7 Science tuition on Vedantu.com to score more marks in CBSE board examination.

Important Topics Under CBSE Class 7 Maths Chapter 2 - Fractions and Decimals

CBSE Class 7 Maths Chapter 2 - Fractions and Decimals will cover the following topics:

• Addition and subtraction of fractions

• Multiplication of fraction by a whole number and fraction

• Division of fraction by a whole number and a fraction

• Reciprocal of fraction

• Multiplication and division of decimal numbers

• Multiplication and division of decimal numbers by 10, 100 and 1000

• Division of a decimal number by a whole number.

Study Important Questions for Class 7 Maths Chapter 2 - Fractions and Decimals

1 Mark Questions:

1. Convert the given fraction into mixed fraction $\dfrac{{22}}{7}$.

Ans. A fraction can be written in the form of mixed fraction in the following way:

$Q\dfrac{R}{D}$ , where Q is the quotient, R is the remainder and D is the divisor of the fraction.

So, $\dfrac{{22}}{7}$ in mixed fraction form will be $3\dfrac{1}{7}$ .

2. Write an equivalent fraction of $\dfrac{9}{{15}}$.

Ans. To find an equivalent fraction, we simply multiply the numerator and denominator of the given fraction with the same number.

A fraction equivalent to $\dfrac{9}{{15}}$ will be $\dfrac{9}{{15}} \times \dfrac{2}{2} = \dfrac{{18}}{{30}}$ .

3. Find the value of $3\dfrac{4}{7} \div 7$.

Ans. We solve the expression $3\dfrac{4}{7} \div 7$ as follows:

$\Rightarrow \dfrac{{25}}{7} \div 7$

$\Rightarrow \dfrac{{25}}{7} \times \dfrac{1}{7}$

$\Rightarrow \dfrac{{25}}{{49}}$

4. Express $8$ rupee $5$ paise in decimal.

Ans. $8$ rupees and $5$ paise in decimal form can be written as Rs. $8.05$.

5. Write the place value of $5$ in $498.05$.

Ans. The place value of $5$ in $498.05$ is hundredths.

Refer to page 2 - 6 for 2 Mark Questions

6. Find the value of $\dfrac{5}{6}$ of:

(i) $30$

Ans. The value of $\dfrac{5}{6}$ of $30$ is:

$\dfrac{5}{6} \times 30 = 25$

(ii) $54$

Ans. The value of $\dfrac{5}{6}$ of $54$ is:

$\dfrac{5}{6} \times 54 = 45$

7. Multiply and reduce to lowest form:

(i) $\dfrac{3}{8} \times \dfrac{4}{9}$

Ans. Multiplying and simplifying $\dfrac{3}{8} \times \dfrac{4}{9}$ :

$\Rightarrow \dfrac{{12}}{{72}}$

$\Rightarrow \dfrac{1}{6}$

(ii)  $\dfrac{{11}}{{10}} \times \dfrac{2}{5}$

Ans. Multiplying and simplifying $\dfrac{{11}}{{10}} \times \dfrac{2}{5}$ :

$\Rightarrow \dfrac{{22}}{{50}}$

$\Rightarrow \dfrac{{11}}{{25}}$

8. Multiply and express as mixed fractions:

(i) $4 \times 6\dfrac{2}{3}$

Ans. Solving the expression:

$4 \times 6\dfrac{2}{3}$

$\Rightarrow 4 \times \dfrac{{20}}{3}$

$\Rightarrow \dfrac{{80}}{3}$

$\Rightarrow 26\dfrac{2}{3}$

(ii) $3\dfrac{2}{3} \times 5$

Ans. Solving the expression:

$3\dfrac{2}{3} \times 5$

$\Rightarrow \dfrac{{11}}{3} \times 5$

$\Rightarrow \dfrac{{55}}{3}$

$\Rightarrow 18\dfrac{1}{3}$

(i) $\dfrac{1}{3}$ of the ice creams in box:

Ans. There are total $9$ ice creams in the box. We have to shade $\dfrac{1}{3}$ , that is, $\dfrac{1}{3} \times 9 = 3$ ice creams.

(ii) $\dfrac{3}{4}$ of the apples in box:

Ans. There are a total of $16$ apples in the box. We have to shade $\dfrac{3}{4}$ , that is, $\dfrac{3}{4} \times 16 = 12$ apples.

10. Sarah and Darshan went for a picnic. Their mother gave them a juice bottle of $3$ litres.

Sarah consumed ${\dfrac{1}{3}^{rd}}$ of the juice. Darshan consumed the rest.

(a) How much did Sarah drink?

Ans. Total quantity of juice in the bottle is $3$ litres.

Sarah consumed ${\dfrac{1}{3}^{rd}}$ of the juice, that is, $\dfrac{1}{3} \times 3 = 1$ litre.

(b) What fraction of the total quantity did Darshan drink?

Ans. Darshan consumed $1 - \dfrac{1}{3} = \dfrac{2}{3}$ of the total juice.

11. Find:

(i) $\dfrac{2}{9} \div 4$

Ans. Solving:

$\dfrac{2}{9} \div 4$

$\Rightarrow \dfrac{2}{9} \times \dfrac{1}{4}$

$\Rightarrow \dfrac{2}{{36}}$

$\Rightarrow \dfrac{1}{{18}}$

(ii) $\dfrac{{11}}{7} \div 2$

Ans. Solving:

$\dfrac{{11}}{7} \div 2$

$\Rightarrow \dfrac{{11}}{7} \times \dfrac{1}{2}$

$\Rightarrow \dfrac{{11}}{{14}}$

12. Find:

(i) $\dfrac{{12}}{7} \div \dfrac{3}{{14}}$

Ans. Solving:

$\dfrac{{12}}{7} \div \dfrac{3}{{14}}$

$\Rightarrow \dfrac{{12}}{7} \times \dfrac{{14}}{3}$

$\Rightarrow \dfrac{{168}}{{21}}$

$\Rightarrow 8$

(ii) $\dfrac{2}{5} \div \dfrac{4}{5}$

Ans. Solving:

$\dfrac{2}{5} \div \dfrac{4}{5}$

$\Rightarrow \dfrac{2}{5} \times \dfrac{5}{4}$

$\Rightarrow \dfrac{2}{4}$

$\Rightarrow \dfrac{1}{2}$

13. Which is greater:

(i) ${\bf{0}}.{\bf{02}}$ or ${\bf{0}}.{\bf{2}}$

Ans. We convert the decimals into equivalent fractions:

$0.02 = \dfrac{2}{{100}}$ and $0.2 = \dfrac{{20}}{{100}}$

On comparing, we conclude that $\dfrac{{20}}{{100}} > \dfrac{2}{{100}}$ .

Hence, $0.2$ is greater.

(ii) $1.98$ or $1.98$

Ans. We convert the decimals into equivalent fractions:

$1.98 = \dfrac{{198}}{{100}}$ and $1.89 = \dfrac{{189}}{{100}}$

On comparing, we conclude that $\dfrac{{198}}{{100}} > \dfrac{{189}}{{100}}$ .

Hence, $1.98$ is greater.

14. How much $5.6$ kg is less than $9.4$ kg?

Ans. Calculating the difference:

$9.4 - 5.6 = 3.8$ kg

Hence, $5.6$ kg is $3.8$ kg less than $9.4$ kg.

15. Find:

(i) $1.08 \times 0.3$

Ans. Converting into fractions and solving:

$1.08 \times 0.3$

$\Rightarrow \dfrac{{108}}{{100}} \times \dfrac{3}{{10}}$

$\Rightarrow \dfrac{{324}}{{1000}}$

$\Rightarrow 0.324$

(ii) $158.3 \times 2.9$

Ans. Converting into fractions and solving:

$158.3 \times 2.9$

$\Rightarrow \dfrac{{1583}}{{10}} \times \dfrac{{29}}{{10}}$

$\Rightarrow \dfrac{{45907}}{{100}}$

$\Rightarrow 459.07$

3 Mark Questions

16. Arrange in ascending order $\dfrac{3}{5},\dfrac{4}{7},\dfrac{3}{{10}},\dfrac{4}{5}$ .

Ans. To arrange given fractions in ascending order, we first make their denominators equivalent.

L.C.M. of all the denominators $5,7,10$ is $70$ .

$\dfrac{3}{5} \times \dfrac{{14}}{{14}} = \dfrac{{42}}{{70}}$

$\dfrac{4}{7} \times \dfrac{{10}}{{10}} = \dfrac{{40}}{{70}}$

$\dfrac{3}{{10}} \times \dfrac{7}{7} = \dfrac{{21}}{{70}}$

$\dfrac{4}{5} \times \dfrac{{14}}{{14}} = \dfrac{{56}}{{70}}$

Now, $\dfrac{{21}}{{70}} < \dfrac{{40}}{{70}} < \dfrac{{42}}{{70}} < \dfrac{{56}}{{70}}$ .

Hence, $\dfrac{3}{{10}} < \dfrac{4}{7} < \dfrac{3}{5} < \dfrac{4}{5}$ .

17. Find the perimeter of the rectangle whose length is $7\dfrac{3}{{10}}$ cm and breadth is $\dfrac{3}{5}$ cm.

Ans. We know that the perimeter of a rectangle is twice the sum of its length and breadth, that is, $2(l + b)$ .

$\Rightarrow 2(7\dfrac{3}{{10}} + \dfrac{3}{5})$

$\Rightarrow 2(\dfrac{{73}}{{10}} + \dfrac{6}{{10}})$

$\Rightarrow 2(\dfrac{{79}}{{10}})$

$\Rightarrow \dfrac{{79}}{5}$

$\Rightarrow 15\dfrac{4}{5}$ cm

18. Find $\dfrac{3}{7}$ of:

(i) $3\dfrac{5}{8}$

Ans. The value of $\dfrac{3}{7}$ of $3\dfrac{5}{8}$ is:

$\dfrac{3}{7} \times 3\dfrac{5}{8} = \dfrac{3}{7} \times \dfrac{{29}}{8}$

$\Rightarrow \dfrac{{87}}{{56}}$

$\Rightarrow 1\dfrac{{31}}{{56}}$

(ii) $4\dfrac{3}{9}$

Ans. The value of $\dfrac{3}{7}$ of $4\dfrac{3}{9}$ is:

$\dfrac{3}{7} \times 4\dfrac{3}{9} = \dfrac{3}{7} \times \dfrac{{39}}{9}$

$\Rightarrow \dfrac{{13}}{7}$

$\Rightarrow 1\dfrac{6}{7}$

19. Find:

(i) $3\dfrac{1}{8} \div 2\dfrac{1}{4}$

Ans. Solving:

$3\dfrac{1}{8} \div 2\dfrac{1}{4}$

$\Rightarrow \dfrac{{25}}{8} \times \dfrac{4}{9}$

$\Rightarrow \dfrac{{25}}{{18}}$

$\Rightarrow 1\dfrac{7}{{18}}$

(ii) $4\dfrac{4}{3} \div 6\dfrac{1}{2}$

Ans. Solving:

$4\dfrac{4}{3} \div 6\dfrac{1}{2}$

$\Rightarrow \dfrac{{16}}{3} \times \dfrac{2}{{13}}$

$\Rightarrow \dfrac{{32}}{{39}}$

20. Write the following decimal number in expanded form:

(i) $208.183$

Ans. In expanded form, the given decimal can be written as:

$(2 \times 100) + (0 \times 10) + (8 \times 1) + (1 \times \dfrac{1}{{10}}) + (8 \times \dfrac{1}{{100}}) + (3 \times \dfrac{1}{{1000}})$

(ii) $5.018$

Ans. In expanded form, the given decimal can be written as:

$(5 \times 1) + (0 \times \dfrac{1}{{10}}) + (1 \times \dfrac{1}{{100}}) + (8 \times \dfrac{1}{{1000}})$

(iii) $360.05$

Ans. In expanded form, the given decimal can be written as:

$(6 \times 100) + (3 \times 10) + (0 \times 1) + (0 \times \dfrac{1}{{10}}) + (5 \times \dfrac{1}{{100}})$

CBSE Class 7 Maths Chapter - 2 Important Questions - Free PDF Download

Download Extra Questions For Class 7 Maths Fractions And Decimals From Here

We have a collection of all the different types of questions that are available in the class 7 maths chapter 2. This chapter has a lot of interesting questions that will draw the attention of the students. They can practice those questions online or actually download the PDF version that is provided right here. While learning all about the facts of the chapter is important, students also need to have some help regarding the class 7 maths chapter 2 important questions. This is where we come to help them out in the best way.

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Students can get familiar with the concepts of subtraction and addition of different fractions. Along with that, they will also learn about multiplying fractions with whole numbers and other fractions as well. Techniques of division and finding reciprocals will also be taught in the chapter. There are many exercises in the chapter and students need to find out the class 7 maths important questions Ch 2 from there. We have absolutely no doubt about the fact that once students find out the important questions, they will surely have no trouble in understanding the concepts and hence will be able to prepare well for their final exams. Clearing out the basics is essential during the starting stages of studying and this is exactly what students are going to learn from these chapters.

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Benefits of CBSE Class 7 Maths Important Questions

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• These questions will help you prepare for the examination and you will be able to self-analyse your mistakes and work on them.

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FAQs on Important Questions for CBSE Class 7 Maths Chapter 2 - Fractions and Decimals

1. Do I need to practise all the questions provided in Chapter 2 of Class 7 Maths?

Ans: Practising all the questions provided in NCERT Solutions of Chapter 2 of Class 7 Maths ensures clear concepts and understanding of the applications of the various methods in solving the sums. Fractions and Decimals is a short chapter with a fair weightage in the exam. Hence, it is essential to grasp all the topics covered in this chapter to be well prepared and for better learning, regular practice is extremely important.

2. How many questions are there in NCERT Solutions Chapter 2 of Class 7 Maths?

Ans: Chapter 2 of Class 7 Maths has a total of six exercises with 42 questions. These questions are divided unevenly based on different methods for multiplication and division of fractions and decimals. Long questions have multiple steps that the students need to ensure are correct because each step holds some marks in the examinations. It is suggested that you make a habit of rechecking the solution while at the learning stage so you make fewer errors.

3. Where can I find ‘Important Questions’ for Chapter 2 of Class 7 Maths?

Ans: Vedantu provides you with important questions PDF free of cost. These questions include all the methods by which you can solve all the problems given in this particular chapter. You can also download the PDF of important questions, notes and other study materials from Vedantu website and mobile app. The important questions are the best way to prepare if you are running short on time since they cover all the fundamental topics and formulas.

4. How are ‘Important Questions’ for Chapter 2 of Class 7 Maths helpful?

Ans: Solving the important questions establishes basic clarity on the application for each type of problem in the chapter. It helps you revise better around the exams so you do not miss out on any kind of question that may be vital with respect to the exam. In case you are late in starting your preparation you can easily solve the important question to cover the majority of the course in a short span of time.

5. How should I prepare Chapter-Fractions and Decimals for Class 7 Maths?

Ans: Fractions and decimals in Class 7 is a relatively simple chapter. You should focus on learning the methods used in solving the questions. The chapter helps you revise the addition and subtraction of fractions and decimals and further introduces multiplication and division of the same. Practicing all problems is the easiest way to prepare the chapter. Right before the exams is a time crunch for the students so, these important questions come in handy at the time.