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If the denominators are not the same then yes.

If the denominators are the same you can simply add the numerators:

1/5 + 2/5 = 3/5

because the denominators are all the same, and 1 + 2 = 3.

If the denominators are different, simply adding the numerators will give the wrong answer:

1/5 + 2/3 <> 3/5 or 3/3.

Instead, find the Least Common Multiple of the denominators (15 in this case) and convert both fractions to that denominator. Then you can go back to simply adding the numerators.

1/5 = 3/15

2/3 = 10/15

3/15 + 10/15 = 13/15

because 3 + 10 = 13.

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14y ago

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Q: Why when adding fractions do you change the denominator?
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