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\frac{5}{8}-\left(-\frac{1}{2}\right)
Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.
\frac{5}{8}+\frac{1}{2}
The opposite of -\frac{1}{2} is \frac{1}{2}.
\frac{5}{8}+\frac{4}{8}
Least common multiple of 8 and 2 is 8. Convert \frac{5}{8} and \frac{1}{2} to fractions with denominator 8.
\frac{5+4}{8}
Since \frac{5}{8} and \frac{4}{8} have the same denominator, add them by adding their numerators.
\frac{9}{8}
Add 5 and 4 to get 9.