## Book: RD Sharma - Mathematics

### Chapter: 1. Rational Numbers

#### Subject: Maths - Class 8th

##### Q. No. 4 of Exercise 1.1

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##### Add and express the sum as a mixed fraction:(i) and(ii) and(iii) and(iv) and

(i) The denominators of the given rational numbers 5 and 10 respectively.

The L.C.M of 5 and 10 is 10

Now,

We write the given rational numbers into forms in which both of them have the same denominator

=

And,

=

Therefore,

+ =

=

= 1

(ii) The denominators of the given rational numbers 7 and 4 respectively.

The L.C.M of 7 and 4 is 28

Now,

We write the given rational numbers into forms in which both of them have the same denominator

=

And,

=

Therefore,

- =

=

= 1

(iii) The denominators of the given rational numbers 6 and 8 respectively.

The L.C.M of 6 and 8 is 24

Now,

We write the given rational numbers into forms in which both of them have the same denominator

=

And,

=

Therefore,

- =

=

= -8

(iv) The denominators of the given rational numbers 6 and 8 respectively.

The L.C.M of 6 and 8 is 24

Now,

We write the given rational numbers into forms in which both of them have the same denominator

=

And,

=

Therefore,

+ =

=

= 17

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