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\frac{-\frac{2}{12}+\frac{3}{12}}{-2}
Least common multiple of 6 and 4 is 12. Convert -\frac{1}{6} and \frac{1}{4} to fractions with denominator 12.
\frac{\frac{-2+3}{12}}{-2}
Since -\frac{2}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.
\frac{\frac{1}{12}}{-2}
Add -2 and 3 to get 1.
\frac{1}{12\left(-2\right)}
Express \frac{\frac{1}{12}}{-2} as a single fraction.
\frac{1}{-24}
Multiply 12 and -2 to get -24.
-\frac{1}{24}
Fraction \frac{1}{-24} can be rewritten as -\frac{1}{24} by extracting the negative sign.