Adding Fractions with Unlike Denominators
If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators.
To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.
For example, suppose you want to add:
111+23
1/11 + 2/3
The LCM of 3 and 11 is 33 . So, we need to find fractions equivalent to 111 and 23 which have 33 in the denominator. Multiply the numerator and denominator of 111 by 3 , and multiply the numerator and denominator of 23 by 11 .
(1 × 311 × 3)+(2 × 113 × 11)=333+2233
Now we have like denominators, and we can add as described above.
=2533