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-\frac{5}{8}+\frac{1}{6}
The opposite of -\frac{1}{6} is \frac{1}{6}.
-\frac{15}{24}+\frac{4}{24}
Least common multiple of 8 and 6 is 24. Convert -\frac{5}{8} and \frac{1}{6} to fractions with denominator 24.
\frac{-15+4}{24}
Since -\frac{15}{24} and \frac{4}{24} have the same denominator, add them by adding their numerators.
-\frac{11}{24}
Add -15 and 4 to get -11.