# How do write in simplest form given 5/8+7/8?

Mar 3, 2018

$\frac{3}{2}$

#### Explanation:

When adding fractions, we always want the denominator to be the same. As in this instance, they are, we just add the numerators, keeping the denominator on the bottom.

$\frac{5}{8} + \frac{7}{8} \to \frac{12}{8}$ as $5 + 7 = 12$

Now we need to find a number that can go into both $12$ and $8$

As $8$ is the smallest number, the number has to be ≤8

$8$ does not go into $12$
$7$ goes doesn't go into $8$ or $12$
$6$ goes into $12$, but not $8$
$5$ doesn't go into $8$ or $12$
$4$ goes into $8$ and $12$

$\therefore$ we can simplify this ratio by dividing all terms by $4$

$\frac{12}{8} \to \frac{3}{2}$ as $\frac{12}{4} = 3$ and $\frac{8}{4} = 2$
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