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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