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-\frac{5}{12}-\frac{10}{12}
Least common multiple of 12 and 6 is 12. Convert -\frac{5}{12} and \frac{5}{6} to fractions with denominator 12.
\frac{-5-10}{12}
Since -\frac{5}{12} and \frac{10}{12} have the same denominator, subtract them by subtracting their numerators.
\frac{-15}{12}
Subtract 10 from -5 to get -15.
-\frac{5}{4}
Reduce the fraction \frac{-15}{12} to lowest terms by extracting and canceling out 3.