RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Class 8: RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

The document RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 is a part of the Class 8 Course RD Sharma Solutions for Class 8 Mathematics.
All you need of Class 8 at this link: Class 8

Q1. Add the following rational numbers: 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Solution: 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Q2: Add the following rational numbers: 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

  RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

 RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Solution:

(i) Clearly, denominators of the given numbers are positive.

The LCM of the denominators 4 and 8 is 8.

Now, we will express 3/4 in the form in which it takes the denominator as 8. 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Now, 

  RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

The LCM of the denominators 9 and 3 is 9.

Now,

We will express 7/3 in the form in which it takes denominator as 9. 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

So, 

  RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

The LCM of the denominators 1 and 5 is 5.

Now,

We will express  -3/1 in the form in which it takes denominator as 5. 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8
So,
RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

The LCM of the denominators 27 and 18 is 54.

Now,

We will express RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8in the form in which it takes denominator as 54.
RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

So,
RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

The LCM of the denominators 4 and 8 is 8.
Now,

We will express -31/4 in the form in which it takes denominator as 8. 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

So,
RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

The LCM of the denominator 12 and 36 is 36.

Now,

We will express -7/12  in the form in which it takes denominator as 36. 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8
So,  

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

The LCM of the denominators 16 and 26 is 48.

Now,

We will express RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 in the form in which it takes denominator as 48.
RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

So, 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

The LCM of the denominator 18 and 27 is 54.

Now,

We will express RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8  in the form in which it takes denominator as 54. 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

So, 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Q-3. Simplify: 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

Solution: 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

The LCM of the denominator 9 and 6 is 18.

Now,

We will express RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8  in the form in which it takes denominator as 18. 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

So, 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

The LCM of the denominator 1 and 7 is 7.

Now,

We will express 3/1 in the form in which it takes denominator as 7. 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

So, 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

The LCM of the denominators 12 and 15 is 60.

Now,

We will express RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8  in the form in which it takes denominator as 60. 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

So, 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

The LCM of the denominator of 19 and 57 is 57.

Now,

We will express -8/19 in the form in which it takes denominator as 57. 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 

So, 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

The LCM of the denominator 9 and 4 is 36.

Now,

We will express RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8  in the form in which it takes denominator as 36. 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

So, 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

The LCM of the denominator 26 and 39 is 78.

Now,

We will express RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8  in the form in which it takes denominator as 78. 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 

So, 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 

The LCM of the denominator 9 and 12 is 36.

Now,

We will expressRD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8  in the form in which it takes denominator as 36. 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

So, 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

The LCM of the denominator 8 and 36 is 72.

Now,

We will express RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8  in the form in which it takes denominator as 72. 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

So, 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

The LCM of the denominator 1 and 5 is 5.

Now,

We need to express 1/1  in the form in which it takes denominator as 5. 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

So, 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 

Q-4. Add and express the sum as a mixed fraction: 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 

Solution:

(i)  We have:

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 

The LCM of the denominator 5 and 10 is 10.

Now,

We will express -12/5 in the form in which it takes denominator as 10. 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

So, 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(ii) We have: 

24/7 and -11/7

The LCM of the denominator 7 and 4 is 28.

Now,

We will express RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 in the form in which it takes denominator as 10. 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

So, 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(iii)  We have: 

-31/6 and -27/8

The LCM of the denominator 6 and 8 is 24.

Now,

We will express -31/6 and -27/8  in the form in which it takes denominator as 24. 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

So, 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

(iv) We have: 

101/6 and 7/8

The LCM of the denominator 6 and 8 is 24.

Now,

We will express 101/6 and 7/8 in the form in which it takes denominator as 24. 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

So, 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 

RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8

The document RD Sharma Solutions (Ex.1.1): Rational Numbers Notes | Study RD Sharma Solutions for Class 8 Mathematics - Class 8 is a part of the Class 8 Course RD Sharma Solutions for Class 8 Mathematics.
All you need of Class 8 at this link: Class 8

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