Invert and multiply.
\[-\frac{\frac{1}{4}}{-\frac{3}{2}}\times \frac{-6}{5}\]
Move the negative sign to the left.
\[-(-\frac{\frac{1}{4}}{\frac{3}{2}})\times \frac{-6}{5}\]
Invert and multiply.
\[-(-\frac{1}{4}\times \frac{2}{3})\times \frac{-6}{5}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[-(-\frac{1\times 2}{4\times 3})\times \frac{-6}{5}\]
Simplify \(1\times 2\) to \(2\).
\[-(-\frac{2}{4\times 3})\times \frac{-6}{5}\]
Simplify \(4\times 3\) to \(12\).
\[-(-\frac{2}{12})\times \frac{-6}{5}\]
Simplify \(\frac{2}{12}\) to \(\frac{1}{6}\).
\[-(-\frac{1}{6})\times \frac{-6}{5}\]
Remove parentheses.
\[-(-\frac{1}{6}\times \frac{-6}{5})\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[-(-\frac{1\times -6}{6\times 5})\]
Simplify \(1\times -6\) to \(-6\).
\[-(-\frac{-6}{6\times 5})\]
Simplify \(6\times 5\) to \(30\).
\[-(-\frac{-6}{30})\]
Move the negative sign to the left.
\[-(-(-\frac{6}{30}))\]
Simplify \(\frac{6}{30}\) to \(\frac{1}{5}\).
\[-(-(-\frac{1}{5}))\]
Remove parentheses.
\[-\frac{1}{5}\]
Decimal Form: -0.2
-1/5
