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# How do you add fractions?

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## Redirected from What is 1/2 plus 1/4

If the denominators of the fraction (i.e. the bottom numbers) are the same, you can just add the numerators (i.e. the top numbers) together.

For example,

$\frac{2}{5} + \frac{2}{5} = \frac{4}{5}$

$\frac{6}{13} + \frac{10}{13} = \frac{16}{13}$ or $1\frac{3}{13}$

If the denominators of the fraction are different, you must first find the common denominator, then convert both fractions, then add the numberators when the denominators are the same.

For example,

$\frac{1}{5} + \frac{1}{3}$

The common denominator of 3 and 5 is 15.

$=> \frac{3}{15} + \frac{5}{15} = \frac{8}{15}$