Class 7 Exam  >  Class 7 Notes  >  RD Sharma Solutions for Class 7 Mathematics  >  RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics PDF Download

QUESTION 1:

Compare the following fractions by using the symbol > or < or =:
(i) 7/9 and 8/13
(ii) 11/9 and 5/9
(iii) 37/41 and 19/30
(iv) 
17/15 and 119/105


ANSWER 1:

First, we need to find the LCM of denominators in each case. After that, we will equate the denominators in order to compare the two fractions.

(i)
     LCM of 9 and 13 is 117.

Now make both fraction equivalent with denominator as 117 

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

(ii)
both fraction have same denominator as 9

we know 11>5 

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

(iii)
LCM of 41 and 30 is 1230

Now convert both fraction to their equivalent fractions with denominator as 1230 

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics


(iv)
LCM of 15 and 105 is 105.
Now convert fraction to its equivalent fractions with denominator as 105 

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics


QUESTION 2:

Arrange the following fractions in ascending order:

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

ANSWER 2:

(i)
LCM of the denominators 8, 6, 4 and 3 is 24.Now, convert all fractions into their equivalent fractions with denominator 24.

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

we know

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics


(ii)
LCM of the denominators 8, 12, 16 and 3 is 48.Now, convert all fractions into their equivalent fractions with denominator 48. 

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

we know

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics


QUESTION 3:

Arrange the following fractions in descending order:

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

ANSWER 3:

(i)
LCM of the denominators 5, 10, 15 and 20 is 60.Now, convert all fractions to their equivalent fractions with denominator 60.

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

we know:

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

(ii)
LCM of the denominators 7, 35, 14 and 28 is 140.Now, convert all fractions to their equivalent fractions with denominator 140. 

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics


Question 4:

Write five equivalent fractions of 3/5


Answer 4:

Five equivalent fractions of 3/5 are :

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics


Question 5:

Find the sum:

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics


Answer 5:

(i)

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

(ii)

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

(iii)

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

(iv)

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics


Question 6:

Find the difference of 

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics


Answer 6:

(i)

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

(ii)

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

(iii)

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

(iv)

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics


Question 7:

Find the difference:

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

Answer 7:

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

(ii)

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

(iii)

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics


(iv)

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics


QUESTION 8:

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

Answer 8:

(i)

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics


RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

(ii)

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

(iii)

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics


Question 9:

What should be added to RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics


Answer 9:

Let x be the required fraction.
According to the question:

RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics


RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics


The document RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math | RD Sharma Solutions for Class 7 Mathematics is a part of the Class 7 Course RD Sharma Solutions for Class 7 Mathematics.
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FAQs on RD Sharma Solutions (Part - 1) - Ex-2.1, Fractions, Class 7, Math - RD Sharma Solutions for Class 7 Mathematics

1. What are RD Sharma Solutions?
Ans. RD Sharma Solutions are a set of comprehensive and step-by-step solutions to the RD Sharma textbook exercises. These solutions are designed to help students understand and solve math problems more effectively.
2. What is RD Sharma Solutions Part-1?
Ans. RD Sharma Solutions Part-1 is a specific section of the RD Sharma Solutions that focuses on the topic of Fractions for Class 7 students. It provides detailed solutions to the exercises and problems related to fractions covered in the RD Sharma textbook.
3. How can RD Sharma Solutions help Class 7 students in understanding fractions?
Ans. RD Sharma Solutions provide detailed explanations and step-by-step solutions to the fraction-related problems and exercises in the RD Sharma textbook. By referring to these solutions, Class 7 students can gain a better understanding of the concepts, learn problem-solving techniques, and improve their overall performance in mathematics.
4. Are RD Sharma Solutions Part-1 suitable for self-study by Class 7 students?
Ans. Yes, RD Sharma Solutions Part-1 is designed to be easily understandable for Class 7 students and can be used for self-study. The solutions provide clear explanations and steps, making it easier for students to learn and practice fractions independently.
5. Can RD Sharma Solutions Part-1 be used as a reference for exam preparation?
Ans. Absolutely! RD Sharma Solutions Part-1 can be a valuable reference for exam preparation. By going through the solutions and practicing the exercises, students can strengthen their understanding of fractions, improve problem-solving skills, and enhance their overall performance in the math exam.
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