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 
