Add the following rational numbers:
(i) 
and
(ii) 
and
(iii) 
and
(iv) 
and
(v) 
and
(vi) 
and
(vii) 
and
(viii) 
and
(i) The denominator of given rational numbers are 4 and 8 respectively
The L.C.M of 4 and 8 is 8
Now, we rewrite the given rational numbers into forms in which both of them have the same denominator
= 
and 
Therefore,
-
= 
= 
(ii) The denominator of given rational numbers are 9 and 3 respectively
The L.C.M of 9 and 3 is 9
Now, we rewrite the given rational numbers into forms in which both of them have the same denominator
= 
and 
= 
Therefore,
+ 
= 
= 
(iii) The denominator of given rational numbers are 1 and 5 respectively
The L.C.M of 1 and 5 is 5
Now, we rewrite the given rational numbers into forms in which both of them have the same denominator
= 
and 
Therefore,
+ 
= 
= 
(iv) The denominator of given rational numbers are 27 and 18 respectively
The L.C.M of 27 and 18 is 54
Now, we rewrite the given rational numbers into forms in which both of them have the same denominator
= 
= 
And,
= 
= 
Therefore,
(
) + 
= 
- 
= 
= 
(v) The denominator of given rational numbers are -4 and 8 respectively
The L.C.M of -4 and 8 is 8
Now, we rewrite the given rational numbers into forms in which both of them have the same denominator
= 
= 
And,
Therefore,
(
) + (
)
= 
- 
= 
(vi) The denominator of given rational numbers are 36 and 12 respectively
The L.C.M of 36 and 12 is 36
Now, we rewrite the given rational numbers into forms in which both of them have the same denominator
= 
And,
Therefore,
-
= 
= 
(vii) The denominator of given rational numbers are 16 and 24 respectively
The L.C.M of 16 and 24 is 48
Now, we rewrite the given rational numbers into forms in which both of them have the same denominator
= 
= 
And,
= 
= 
Therefore,
+ 
= 
+
= 
(viii) The denominator of given rational numbers are -4 and 8 respectively
The L.C.M of 18 and 27 is 54
Now, we rewrite the given rational numbers into forms in which both of them have the same denominator
= 
= 
And,
= 
Therefore,
+ 
= 
= 