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m=\frac{-\frac{11}{6}+\frac{5}{3}}{\frac{9}{4}-\frac{1}{2}}
The opposite of -\frac{5}{3} is \frac{5}{3}.
m=\frac{-\frac{11}{6}+\frac{10}{6}}{\frac{9}{4}-\frac{1}{2}}
Least common multiple of 6 and 3 is 6. Convert -\frac{11}{6} and \frac{5}{3} to fractions with denominator 6.
m=\frac{\frac{-11+10}{6}}{\frac{9}{4}-\frac{1}{2}}
Since -\frac{11}{6} and \frac{10}{6} have the same denominator, add them by adding their numerators.
m=\frac{-\frac{1}{6}}{\frac{9}{4}-\frac{1}{2}}
Add -11 and 10 to get -1.
m=\frac{-\frac{1}{6}}{\frac{9}{4}-\frac{2}{4}}
Least common multiple of 4 and 2 is 4. Convert \frac{9}{4} and \frac{1}{2} to fractions with denominator 4.
m=\frac{-\frac{1}{6}}{\frac{9-2}{4}}
Since \frac{9}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.
m=\frac{-\frac{1}{6}}{\frac{7}{4}}
Subtract 2 from 9 to get 7.
m=-\frac{1}{6}\times \frac{4}{7}
Divide -\frac{1}{6} by \frac{7}{4} by multiplying -\frac{1}{6} by the reciprocal of \frac{7}{4}.
m=\frac{-4}{6\times 7}
Multiply -\frac{1}{6} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.
m=\frac{-4}{42}
Do the multiplications in the fraction \frac{-4}{6\times 7}.
m=-\frac{2}{21}
Reduce the fraction \frac{-4}{42} to lowest terms by extracting and canceling out 2.