Move the negative sign to the left.
\[-\frac{\frac{1}{4}}{-\frac{3}{2\times -5\times 6}}\]
Simplify \(2\times -5\) to \(-10\).
\[-\frac{\frac{1}{4}}{-\frac{3}{-10\times 6}}\]
Simplify \(-10\times 6\) to \(-60\).
\[-\frac{\frac{1}{4}}{-\frac{3}{-60}}\]
Move the negative sign to the left.
\[-\frac{\frac{1}{4}}{-(-\frac{3}{60})}\]
Simplify \(\frac{3}{60}\) to \(\frac{1}{20}\).
\[-\frac{\frac{1}{4}}{-(-\frac{1}{20})}\]
Remove parentheses.
\[-\frac{\frac{1}{4}}{\frac{1}{20}}\]
Invert and multiply.
\[-\frac{1}{4}\times 20\]
Simplify \(\frac{1}{4}\times 20\) to \(\frac{20}{4}\).
\[-\frac{20}{4}\]
Simplify \(\frac{20}{4}\) to \(5\).
\[-5\]
-5
