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Fractions and Decimals Class 7 Notes CBSE Maths Chapter 2 (Free PDF Download)

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Last updated date: 17th Apr 2024
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MVSAT 2024

Exam - Focused Revision Notes for CBSE Class 7 Maths Chapter 2 - Fractions and Decimals

CBSE Class 7 Maths Chapter 2 Fractions and Decimals revision notes are now available on Vedantu in PDF format. This chapter introduces the concepts of decimals and fractions and their inter-relations. As this chapter is on one of the most fundamental concepts of Maths, fractions, and decimals, our experts have prepared these notes covering the important topics of this chapter and their application in sums. Students can refer to the notes PDF online or download the notes PDF for free for their exam preparation. 


Important Topics covered in CBSE Class 7 Maths Chapter 2 Fractions and Decimals

  • Meaning of Fractions 

  • Representation of Fractions

  • Fractions on Number Line

  • Multiplication of Fractions

  • Fraction as an Operator ‘of’

  • Division of Fractions

  • Reciprocal of a Fraction

  • Types of Fractions

  • An Introduction to Decimals

  • Multiplication of Decimals

  • Division of Decimals


Download CBSE Class 7 Maths Revision Notes 2024-25 PDF

Also, check CBSE Class 7 Maths revision notes for All chapters:


Access Class 7 Maths Chapter 2 - Fractions and Decimals Notes

  • In the previous session, we learned about fractions and decimals, as well as the operations of addition and subtraction on them.

  • Multiplication and division operations on fractions and decimals are now being studied.

  • We've learnt the art of multiplying fractions. When two fractions are multiplied, the numerators and denominators are multiplied separately, and the product is written as the product of numerators by product of denominators. For example, $\dfrac{1}{2}\times \dfrac{3}{2}=\dfrac{3}{4}$

  • A fraction serves as a ‘of' operator, like,$\dfrac{3}{4}$of $2=\dfrac{3}{2}$.

  1. The product of two correct fractions is less than the product of the multiplied fractions.

  2. A proper and an improper fraction's product is smaller than the improper fraction and bigger than the appropriate fraction.

  3. The sum of two improper fractions is larger than the sum of the two fractions.

  • By inverting a fraction upside down, you can get its reciprocal. We've already looked at how to divide two fractions.

  1. When dividing a whole number by a fraction, the reciprocal of the fraction is multiplied by the whole number. For example, $3\div \dfrac{1}{2}=3\times 2=6$

  2. When dividing a fraction by a whole number, the reciprocal of the whole number is multiplied by the fraction. For example,$\dfrac{3}{4}\div5=\dfrac{3}{4}\times \dfrac{1}{5}=\dfrac{3}{20}$.

  3. We multiply the first fraction by the reciprocal of the other while dividing one fraction by another fraction. As a result,  $\dfrac{3}{4}\div \dfrac{5}{2}=\dfrac{3}{4}\times \dfrac{2}{5}=\dfrac{3}{10}$.

  • We learned how to multiply two decimal values as well. Multiply two decimal numbers as whole numbers first before multiplying them as decimal numbers. In both the decimal figures, count the number of digits to the right of the decimal point. Add the total number of digits you've counted. Count the digits from the rightmost spot in the product to get the decimal point. The total acquired before should be used as the count. For example,$0.3\times 0.4=0.12$.

  • To multiply a decimal value by $10,100$ or $1000$we move the decimal point to the right by as many places as the number of zeros over one. For example, $0.24\times 10=2.4,$

$0.24\times 100=24,$

$0.24\times 1000=240.$

  • We've already looked at how to divide the decimal numbers.

  1. To divide a decimal number by a whole number, we must first divide the two values into whole numbers. Then, as with the decimal number, place the decimal point in the quotient. For example,$1.2\div 2=0.6$.

It's worth noting that we're only looking at divisions with a zero remainder.

  1. To determine the quotient when dividing a decimal number by $10,100$ or $1000$, shift the digits in the decimal number to the left by as many places as there are zeros over $1$. For example, 

$12.8\div 10=1.28$,

$12.8\div 100=0.128,$

$12.8\div 1000=0.0128$

  1. To convert the divisor to a whole number when dividing two decimal values, shift the decimal point to the right by an equal number of places in both. After that, split. Thus, $3.6\div 0.3=12$


Revision Notes for CBSE Class 7 Maths Chapter 2 - Free PDF Download

Fraction word is taken from the Latin word “ Fractus” which means broke. Which mainly represent a part of a whole, consisting of a number of equal parts out of a whole. For example, we have a pizza of four equal slices and now we are left with only two slices of pizza. So we can write it in fractional form as 2/4 or ½. Here 2 or 1 is a numerator and 4 or 2 is a denominator. The numerator tells us about the left pizza slices and the denominator tells us about the total number of pizza slices. So in general fraction form is written as a numerator/denominator, Where, denominator ≠ 0. In case the numerator is equal to the denominator then the fraction becomes a whole i.e. 1. This is termed as a unity of fraction.

Types of Fraction

Mainly there are six types of fractions. All these types of fraction are discussed below:

1. Proper Fraction: In this fraction, the numerator is always less than the denominator. It shows the part of a whole.

2. Improper Fraction: In this fraction numerator is always more than the denominator and it shows the mixture of whole and a proper fraction.

3. Mixed Fraction: In this type of fraction we write mixed form as it is the mixture of whole numbers and a fraction.

4. Like Fraction: In this type, there are fractions with the same denominator. 

5. Unlike Fraction: In this fraction, there are fractions with different denominators. 

6. Equivalent Fraction: The fraction which is proportional to each other is termed as an equivalent fraction. 

Decimals

Numbers that are generally used to represent numbers that are smaller than the unit 1 are termed as decimal. It is also known as the base 10 system since each place value is denoted by a power of 10.

When we multiply a decimal number with the whole number then we get the same number of digits after the decimal point as that of the decimal number.

E.g : 22.2×4 = 88.8

When we multiply decimal with power of 10, then in that case the decimal point shifts to the right by the number of zeros in its power.

Example: 22.22 × 100 = 2222

When we multiply the decimal with decimal, then they will give decimal points in the answer as many places are the same as the total number of places right to the decimal points in both numbers.

Example: 22.22 × 2.2 = 48.884


Key Features of Class 7 Maths Chapter 2 Fractions and Decimals

  • Available in PDF format

  • Covers all important topics and subtopics of Fractions and Decimals

  • A step-by-step explanation for sums

  • Prepared by Maths experts

  • Can be downloaded for free of cost

  • These notes are as per the updated CBSE syllabus for Class 7 Maths

Importance of Vedantu Revision Notes While Preparing for Any Exam

Vedantu is always there to help you in doing well in your exams as vedantu provides you top and best study material along with best revision notes prepared by our top educators who are best in their specialised subjects. In our revision notes, we cover all important topics as per board and competitive exams point of view. 

From these revision notes, you can cover all the important topics of a particular subject within an hour. These revision notes also our frequently asked questions along with several multiple choice questions which will help you in practising more and more questions. The more you practice the more you get a command in that subject. 

Vedantu also provides you with revision notes of each particular chapter in a very easy way from where you can target each chapter of maths as each subject has an important role in different exams. Top subject experts of Vedantu are there to prepare the best revision notes for you, so that you can give your best for your dream. We provide notes which have neat and clear diagrams with proper description and content which will help you from a board point of view. 

Check the links given below for more information about each chapter given in the class 7 maths syllabus and you can also download chapter wise revision notes of each subject along with solved MCQ questions and answer writing questions from here you will learn answer framing ability also. So download class 7 CBSE maths Revision Notes in PDF format from the Vedantu site or app.


Chapter wise Revision Notes for Class 7 Maths


Conclusion

Vedantu's Fractions and Decimals Class 7 Notes offer a comprehensive and accessible resource for CBSE Maths Chapter 2, presented in a user-friendly Free PDF Download. These notes serve as a valuable aid for Class 7 students, enabling them to grasp the fundamental concepts of fractions and decimals with ease. The well-structured content and detailed explanations help foster a strong foundation in mathematical principles. Vedantu's commitment to quality education is evident through this initiative, as it empowers students to excel in their academic journey. By providing these free resources, Vedantu continues to contribute significantly to the advancement of education and the overall growth of young learners.

FAQs on Fractions and Decimals Class 7 Notes CBSE Maths Chapter 2 (Free PDF Download)

1. What are some of the uses of fractions and decimals?

Fractions and decimals are used in many different ways in mathematics and everyday life. Here are a few examples:


  • Fractions are used to represent parts of a whole. For example, you can use fractions to represent the number of slices of pizza you have eaten.

  • Decimals are used to represent numbers that are not whole numbers. For example, you can use decimals to represent the temperature in degrees Celsius.

  • Fractions and decimals are used in many different formulas in mathematics. For example, you can use fractions to represent the slope of a line or the area of a triangle.

  • Fractions and decimals are used in everyday life to represent quantities such as money, weight, and volume. For example, you can use fractions to represent the amount of change you have received or the amount of liquid in a container.

2. How do we add and subtract fractions?

To add or subtract fractions, we first need to make sure that the fractions have the same denominator. Once the fractions have the same denominator, we can simply add or subtract the numerators. For example, to add 1/2 and 1/4, we would first need to make sure that both fractions have the same denominator. We can do this by multiplying 1/2 by 2/2, which gives us 2/4. Now that both fractions have the same denominator, we can simply add the numerators: 2/4 + 1/4 = 3/4.


To subtract fractions, we would follow the same procedure as adding fractions, but instead of adding the numerators, we would subtract them.

3. How do we multiply and divide fractions?

To multiply fractions, we simply multiply the numerators and the denominators. For example, to multiply 1/2 by 3/4, we would multiply the numerators 1 and 3, and the denominators 2 and 4. This gives us 3/8.


To divide fractions, we flip the second fraction and multiply. For example, to divide 1/2 by 3/4, we would flip the second fraction, 3/4, to get 4/3, and then multiply 1/2 by 4/3. This gives us 4/6, which can be simplified to 2/3.

4. What are repeating decimals?

Repeating decimals are non-terminating decimals where a certain group of digits repeats itself over and over again. For example, 0.33333333... is a repeating decimal where the group of digits 333 repeats itself.


Repeating decimals can be converted to fractions by using a process called "decimals to fractions".


Here are the steps to convert repeating decimals to fractions:


  • Write the repeating decimal as a fraction with a denominator of 10.

  • Multiply the numerator and denominator of the fraction by the number that is formed by repeating the group of digits after the decimal point.

  • Simplify the fraction.


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