Class 7 Exam  >  Class 7 Notes  >  RD Sharma Solutions for Class 7 Mathematics  >  RD Sharma Solutions - Ex-5.1, Operations On Rational Numbers, Class 7, Math

Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics PDF Download

Q1. Add the following rational numbers:

Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Q2. Add the following rational numbers:

Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics are two rational numbers such that q and s do not have a common factor

Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics are two rational numbers such that q and s do not have a common factor

Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
LCM of 27 and 18 is 54
Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Q3. Simplify 

Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

LCM of 9 and 6 is 18

Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
LCM of 16 and 24 is 48
Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
LCM of 12 and 15 is 60

Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
LCM of 19 and 57 is 57

Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Q4. Add and express the sum as a mixed fraction:

Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
LCM of 5 and 10 is 10
Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
LCM of 7 and 4 is 28
Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
LCM of 6 and 8 is 24
Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

The document Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | 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 Ex-5.1, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions - RD Sharma Solutions for Class 7 Mathematics

1. What are rational numbers?
Ans. Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. For example, 3/4, -2/5, and 7/1 are all rational numbers.
2. How do we add rational numbers?
Ans. To add rational numbers, we first find a common denominator for the given numbers. Then, we add the numerators while keeping the denominator the same. Finally, we simplify the fraction if possible. For example, to add 3/5 and 2/3, we find a common denominator of 15, which gives us 9/15 + 10/15 = 19/15.
3. How do we subtract rational numbers?
Ans. To subtract rational numbers, we follow a similar process as addition. We find a common denominator, subtract the numerators while keeping the denominator the same, and simplify the fraction if possible. For example, to subtract 4/7 from 2/3, we find a common denominator of 21, which gives us 14/21 - 12/21 = 2/21.
4. Can rational numbers be negative?
Ans. Yes, rational numbers can be negative. Rational numbers include both positive and negative fractions. For example, -5/2 and 3/4 are both rational numbers.
5. How do we multiply rational numbers?
Ans. To multiply rational numbers, we multiply the numerators together and multiply the denominators together. After multiplying, we simplify the fraction if possible. For example, to multiply 2/3 and 4/5, we get (2 * 4) / (3 * 5) = 8/15.
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