Simplify \(\frac{\frac{\frac{1}{3}}{5}}{2}\) to \(\frac{1}{3\times 5\times 2}\).
\[\frac{1}{3\times 5\times 2}-\frac{3}{2}\times \frac{7}{2}\]
Simplify \(3\times 5\) to \(15\).
\[\frac{1}{15\times 2}-\frac{3}{2}\times \frac{7}{2}\]
Simplify \(15\times 2\) to \(30\).
\[\frac{1}{30}-\frac{3}{2}\times \frac{7}{2}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{1}{30}-\frac{3\times 7}{2\times 2}\]
Simplify \(3\times 7\) to \(21\).
\[\frac{1}{30}-\frac{21}{2\times 2}\]
Simplify \(2\times 2\) to \(4\).
\[\frac{1}{30}-\frac{21}{4}\]
Simplify.
\[-\frac{313}{60}\]
Decimal Form: -5.216667
-313/60
