How we will convert unlike fraction into like fraction?

Answer 1

Find the LCM of the denominators and convert the fractions to equivalent fractions with like denominators.

1/3 + 1/4

The LCM of 3 and 4 is 12.

1/3 = 4/12

1/4 = 3/12

1/3 + 1/4 = 4/12 + 3/12 = 7/12

Answer 2

Suppose you have the fractions a/b and c/d.Find x, the common multiple of b and d.

Since x is a multiple of b, x = b*p for some integer p and

since x is a multiple of d, x = d*q for some integer q.

Then ap/bp is equivalent to a/b and cq/dq is equivalent to c/d.

and, since ap/bp = ap/x while cq/dq = cq/x, then ap/x and cq/x are like fractions.

Some people insist on using the least common multiple (LCM) of b and d. That is not necessary - any common multiple will do. However, using the LCM will keep the numbers as small as possible - and therefore easier to work with.