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add. $-\frac{1}{2}+\frac{5}{8}$ write your answer in simplest form.

Question

add.
$-\frac{1}{2}+\frac{5}{8}$
write your answer in simplest form.

Explanation:

Step1: Find a common denominator

The common denominator of 2 and 8 is 8. Rewrite $-\frac{1}{2}$ with denominator 8: $-\frac{1}{2}=-\frac{1\times4}{2\times4}=-\frac{4}{8}$

Step2: Add the fractions

Now add $-\frac{4}{8}+\frac{5}{8}$. Since the denominators are the same, add the numerators: $-\frac{4}{8}+\frac{5}{8}=\frac{-4 + 5}{8}=\frac{1}{8}$

Answer:

$\frac{1}{8}$