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\frac{\frac{9}{2}-\frac{6}{2}}{-5}
Convert 3 to fraction \frac{6}{2}.
\frac{\frac{9-6}{2}}{-5}
Since \frac{9}{2} and \frac{6}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{3}{2}}{-5}
Subtract 6 from 9 to get 3.
\frac{3}{2\left(-5\right)}
Express \frac{\frac{3}{2}}{-5} as a single fraction.
\frac{3}{-10}
Multiply 2 and -5 to get -10.
-\frac{3}{10}
Fraction \frac{3}{-10} can be rewritten as -\frac{3}{10} by extracting the negative sign.