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\frac{18}{4\left(-5\right)}
Divide \frac{1}{4} by \frac{-5}{18} by multiplying \frac{1}{4} by the reciprocal of \frac{-5}{18}.
\frac{18}{-20}
Multiply 4 and -5 to get -20.
-\frac{9}{10}
Reduce the fraction \frac{18}{-20} to lowest terms by extracting and canceling out 2.