RD Sharma Solutions for Class 7 Maths Chapter 2 Fractions

In Class 7, one of the foundational topics students encounter in mathematics is fractions. Chapter 2 of the RD Sharma book focuses on understanding fractions, their types, and how they play a vital role in real-life situations. A fraction represents a part of a whole, and understanding this concept is crucial for grasping many other mathematical concepts in future grades.

In this chapter, students will learn the basic definitions of fractions, such as numerator and denominator, which are essential for working with fractions. The chapter explores various types of fractions, including proper fractions, improper fractions, and mixed numbers. Additionally, it covers how to add, subtract, multiply, and divide fractions, which are fundamental operations needed to solve real-world problems.

With the help of RD Sharma Solutions for Class 7 Maths Chapter 2, students will get step-by-step guidance on solving fraction-based problems. These solutions are designed to simplify complex problems and make it easier for students to understand the core concepts. The clear explanations and well-organized answers ensure that students build a strong foundation in fractions, enabling them to approach more advanced mathematical topics with confidence.

By practicing these problems and solutions, students will improve their problem-solving skills and mathematical reasoning. The chapter encourages interactive learning with exercises that help students understand the practical application of fractions in various contexts, ensuring that they can apply this knowledge in both academic and real-life scenarios.

Overall, RD Sharma solutions for this chapter will empower students to master the topic of fractions, paving the way for success in future mathematics challenges.

Download RD Sharma Solutions for Class 7 Maths Chapter 2 Fractions PDF Here

RD Sharma Class 7 Chapter 2 PDF includes detailed solutions, examples, and extra questions to help you master real numbers and other topics. Click here to download the RD Sharma Class 7 Chapter 2 PDF.

RD Sharma Class 7 Chapter 2 Fractions Solutions

Here, you can find detailed solutions to all the problems in Chapter 2 of RD Sharma’s Class 7 Maths book, focusing on Fractions. The solutions provided are easy to follow, step-by-step, and help students build a strong foundation in this chapter. Fractions are a crucial part of mathematics, and mastering them will play a vital role in improving your performance in exams. Let’s go through the concepts covered in this chapter, such as comparing fractions, performing operations on fractions, finding equivalent fractions, and more.

1. Compare the following fractions using >, <, or =

(i) 7/9 and 8/13

To compare these fractions, we first find the Least Common Multiple (LCM) of 9 and 13, which is 117. Next, we convert the fractions into equivalent fractions with a denominator of 117:

7/9 = 91/117    8/13 = 72/117

Since 91 > 72, we conclude:

7/9 > 8/13

(ii) 11/9 and 5/9

Since the denominators are the same, we can simply compare the numerators. As 11 > 5, we conclude:

11/9 > 5/9

(iii) 37/41 and 19/30

The LCM of 41 and 30 is 1230. Now, we convert both fractions to equivalent fractions with a denominator of 1230:

37/41 = 1110/1230    19/30 = 779/1230

Since 1110 > 779, we conclude:

37/41 > 19/30

(iv) 17/15 and 119/105

The LCM of 15 and 105 is 105. Converting both fractions:

17/15 = 119/105

Since both fractions are equal:

17/15 = 119/105

2. Arrange the following fractions in ascending order:

(i) 3/8, 5/6, 6/8, 2/4, 1/3

The LCM of 8, 6, 4, and 3 is 24. Converting all the fractions to have a denominator of 24:

3/8 = 9/24    5/6 = 20/24    6/8 = 18/24    2/4 = 12/24    1/3 = 8/24

Arranging in ascending order:

1/3 < 3/8 < 2/4 < 6/8 < 5/6

(ii) 4/6, 3/8, 6/12, 5/16

The LCM of 8, 6, 12, and 16 is 48. Converting all the fractions to have a denominator of 48:

4/6 = 32/48    3/8 = 18/48    6/12 = 24/48    5/16 = 15/48

Arranging in ascending order:

6/12 < 5/16 < 3/8 < 4/6

3. Arrange the following fractions in descending order:

(i) 4/5, 7/10, 11/15, 17/20

The LCM of 5, 10, 15, and 20 is 60. Converting all the fractions:

4/5 = 48/60    7/10 = 42/60    11/15 = 44/60    17/20 = 51/60

Arranging in descending order:

17/20 > 4/5 > 11/15 > 7/10

(ii) 2/7, 11/35, 9/14, 13/28

The LCM of 7, 35, 14, and 28 is 140. Converting all the fractions:

2/7 = 40/140    11/35 = 44/140    9/14 = 90/140    13/28 = 65/140

Arranging in descending order:

9/14 > 13/28 > 11/35 > 2/7

4. Equivalent fractions of 3/5:

By multiplying or dividing both the numerator and denominator by the same number, we can create equivalent fractions:

3/5, 6/10, 9/15, 12/20, 15/25

5. Find the sum:

(i) 5/8 + 3/10

The LCM of 8 and 10 is 40. Converting the fractions:

5/8 = 25/40    3/10 = 12/40

Adding them:

25/40 + 12/40 = 37/40

(ii) 4 3/4 + 9 2/5

Converting mixed fractions to improper fractions:

4 3/4 = 19/4    9 2/5 = 47/5

The LCM of 4 and 5 is 20. Converting:

19/4 = 95/20    47/5 = 188/20

Adding them:

95/20 + 188/20 = 283/20

(iii) 5/6 + 3 + 3/4

The LCM of 6, 1, and 4 is 12. Converting:

5/6 = 10/12    3 = 36/12    3/4 = 9/12

Adding them:

10/12 + 36/12 + 9/12 = 55/12

(iv) 2 3/5 + 4 7/10 + 2 4/15

Converting mixed fractions to improper fractions:

2 3/5 = 13/5    4 7/10 = 47/10    2 4/15 = 34/15

The LCM of 5, 10, and 15 is 30. Converting:

13/5 = 78/30    47/10 = 141/30    34/15 = 68/30

Adding them:

78/30 + 141/30 + 68/30 = 287/30