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-\frac{-\frac{9}{6}}{8}
Divide 1 by \frac{8}{-\frac{9}{6}} by multiplying 1 by the reciprocal of \frac{8}{-\frac{9}{6}}.
-\frac{-\frac{3}{2}}{8}
Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.
-\frac{-3}{2\times 8}
Express \frac{-\frac{3}{2}}{8} as a single fraction.
-\frac{-3}{16}
Multiply 2 and 8 to get 16.
-\left(-\frac{3}{16}\right)
Fraction \frac{-3}{16} can be rewritten as -\frac{3}{16} by extracting the negative sign.
\frac{3}{16}
The opposite of -\frac{3}{16} is \frac{3}{16}.