Mathematics
: asked on kklove6700

30.11.2021

How to add fractions with unequal denominators?

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09.07.2023, solved by verified expert

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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

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