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


4