Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{5\times -3}{9\times 10}-\frac{3}{10}\times \frac{2}{3}\]
Simplify \(5\times -3\) to \(-15\).
\[\frac{-15}{9\times 10}-\frac{3}{10}\times \frac{2}{3}\]
Simplify \(9\times 10\) to \(90\).
\[\frac{-15}{90}-\frac{3}{10}\times \frac{2}{3}\]
Move the negative sign to the left.
\[-\frac{15}{90}-\frac{3}{10}\times \frac{2}{3}\]
Simplify \(\frac{15}{90}\) to \(\frac{1}{6}\).
\[-\frac{1}{6}-\frac{3}{10}\times \frac{2}{3}\]
Cancel \(3\).
\[-\frac{1}{6}-\frac{1}{10}\times 2\]
Simplify \(\frac{1}{10}\times 2\) to \(\frac{2}{10}\).
\[-\frac{1}{6}-\frac{2}{10}\]
Simplify \(\frac{2}{10}\) to \(\frac{1}{5}\).
\[-\frac{1}{6}-\frac{1}{5}\]
Simplify.
\[-\frac{11}{30}\]
Decimal Form: -0.366667
-11/30
