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\frac{\left(90-90\right)\times 10}{90\left(10-10\right)}
Divide \frac{90-90}{90} by \frac{10-10}{10} by multiplying \frac{90-90}{90} by the reciprocal of \frac{10-10}{10}.
\frac{-10\left(10-10\right)}{90\left(10-10\right)}
Extract the negative sign in 90-90.
\frac{-1}{9}
Cancel out 10\left(10-10\right) in both numerator and denominator.
-\frac{1}{9}
Fraction \frac{-1}{9} can be rewritten as -\frac{1}{9} by extracting the negative sign.