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# NCERT Solutions for Class 7 Maths Chapter 2 – Fractions and Decimals

NCERT Solutions for Class 7 Maths Chapter 2 is about Fractions and Decimals. In this chapter, there are a total of 7 exercises and 48 questions. Chapter 2 of Maths starts with refreshing some concepts studied in earlier classes. Both multiplication and division of Fractions and Decimals are covered separately in Chapter 2 ‘Fractions and Decimals’.

NCERT Solutions for Class 7 Chapter 2 ‘Fractions and Decimals’ are based on the latest CBSE approved syllabus. This is the most reliable NCERT solutions for class 7 maths chapter 2 study material. At Instasolv, we provide Chapter-wise Solutions of NCERT Class 7 Maths Book. These answers improve your conceptual understanding. As you practice more, your speed also improves and mistakes become negligible.

At Instasolv, we will provide a consistent and efficient approach to solve all the questions. We provide you with a summary of each part and subpart of a Chapter where all important elements are explained. The same sequence of the book is followed so that it becomes easy to refer and understand. If you are worried about Fractions and Decimals class 7 tests, then these solutions will help you strengthen your concepts and help you in scoring higher marks in the CBSE exams.

## NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals: Summary

Introduction of NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals

A proper fraction is a part of the whole. It is represented by a numerator which is the part and denominator which is the whole. Decimal is another way of representing fractions.

How Well Have You Learnt About Fractions

An improper fraction has a bigger numerator than the denominator which means there is a part added to a whole. Divide the numerator by the divided to get the remainder. When this remainder is less than the denominator, you get the number of whole parts as an integer and the remainder becomes a proper fraction. Together the integer and the proper fraction is also called as mixed fraction.

Multiplication of Fractions –

• Multiplication of a Fraction by a Whole Number

For both proper and improper fractions, the method of multiplication of a fraction by a whole number is the same. Multiply the whole number with the numerator and leave the denominator as it is to get your answer.

• Multiplication of a Fraction by a Fraction

To get your answer simply multiply the numerators to get the new numerator and denominators to get the new denominator. The product of two fractions is smaller in value than any of the fractions multiplied.

Division of Fractions –

• Division of a Whole Number by a Fraction

Let us first understand reciprocals. Non-zero fractions whose product with each other is 1 are called reciprocal numbers. In other words, if you interchange the numerator and the denominator of a fraction you get the reciprocal of that fraction.

To divide a whole number by a fraction, multiply the whole number with the reciprocal of that fraction.

Remember, when you are dealing with a mixed fraction convert it first into an improper fraction.

• Division of a Fraction by a Whole Number

To get the answer the denominator is multiplied by the whole number. To understand the process, write the whole number as a fraction that is the whole number becomes the numerator and one becomes the denominator. Then write the reciprocal so one becomes the numerator and the whole number becomes the denominator. Now multiply the fraction by the reciprocal.

Once again, always remember that whenever you are dealing with a mixed fraction, first convert it into an improper fraction.

• Division of a Fraction by Another Fraction

The same process is to be applied again. Find the reciprocal of the fraction by which you are supposed to divide. Then multiply this reciprocal with the fraction that you want to divide.

• How Well Have You Learnt About Decimal Numbers

Recall your learning of place values in earlier classes. Ones, Tens, Hundreds and so on. Similarly, for decimals, it is Ones, Tenths (1/10), Hundredths (1/100) and so on.

• Multiplication of Decimal Numbers

Decimal is a different way of writing a fraction. Therefore, as we studied fractions, the multiplication of two decimals will result in a decimal value smaller than the previous ones. 0.1 x 0.1 = 0.001

To multiply two decimal numbers, first, multiply them as whole numbers without considering the decimals. Count the number of digits to the right of the decimal in the first number and similarly the number of digits to the right of the decimal in the second number. Add the two counts. Now in the answer go to the rightmost digit and move left the number of counts. Place the decimal there to get your final answer.

• Multiplication of Decimal Numbers by 10, 100, and 1000

This is simple. 10 has one zero. So the answer will be the same decimal number but the decimal will move one place to the right. 0.01 x 10 = 0.1

100 has two zeroes so the shift to the right is two places. For 1000 the decimal shifts to the right will be three places.

1. x 1000 = 10

Going a step forward for 10000 the shift to the right will be 4 places and so on.

Division of Decimal Numbers

• Division by 10, 100, and 1000

We just studied in the multiplication of decimal numbers to shift to the right as many places as the number of zeroes. In division it is the opposite, we shift to the left as many places as the number of zeroes.

• Division of a Decimal Number By a Whole Number

– Write the whole number as a fraction which means numerator is the whole number and denominator is one.

– Write the reciprocal of this.

– Divide the decimal number by the reciprocal. Now count the digits to the right of the decimal in the decimal number.

– The answer should also have the same number of digits to the right of the decimal.

• Division of a Decimal Number by Another Decimal Number

– Convert both the decimal numbers into Fractions. To do this the number in the denominator should have as many zeroes following 1 as the number of digits to the right of the decimal. 5.22 is 522 in the numerator and 100 in the denominator.

– Now there is no decimal and the two fractions can be multiplied by the process of multiplication of fractions to get the answer

## Study Tips for NCERT Class 7 Maths  Chapter 2: Fractions and Decimals

Instasolv recommends that you first read this chapter of CBSE NCERT textbook for Class 7 Maths.

Instasolv helps you to score high marks in your exams. For this, provided above is a simple explanation and summary for each part and subpart of Chapter 2 Fractions and Decimals. After referring to this you will develop a better understanding of all the concepts.

• If any concept is still not understood, ask the experts on the Instasolv app.
• Do all the exercises, solved examples and self-practice questions on your own. Any doubt ask the experts on the Instasolv app.
• Check your answers from the NCERT Solutions for Class 7 Maths Chapter 2 ‘Fractions and Decimal’ provided by Instasolv.
• Keep track of your mistakes. As you practice the mistakes will neither be repeated and will keep reducing.

Subject matter experts of Instasolv do not recommend learning by rote. Questions in Maths can be asked in different ways and using different numbers. Having conceptual clarity will ensure that you can answer all the questions whichever way they are asked.

Practice will help improve your speed. This will enable you to attempt all questions and have enough time to check them for any errors. Follow the NCERT Solutions for Class 7 Maths Chapter 2 and tips provided by our subject matter experts and score maximum marks in your CBSE Maths exam.

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