Question

$$-81////8/9//8/822$$

Answer

-299619/32

Solution


Use this rule: \(a\div \frac{b}{c}=a\times \frac{c}{b}\).
\[-81\times 1\times \frac{9}{8}\times \frac{822}{8}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[-\frac{81\times 1\times 9\times 822}{8\times 8}\]
Simplify  \(81\times 1\)  to  \(81\).
\[-\frac{81\times 9\times 822}{8\times 8}\]
Simplify  \(81\times 9\)  to  \(729\).
\[-\frac{729\times 822}{8\times 8}\]
Simplify  \(729\times 822\)  to  \(599238\).
\[-\frac{599238}{8\times 8}\]
Simplify  \(8\times 8\)  to  \(64\).
\[-\frac{599238}{64}\]
Simplify  \(\frac{599238}{64}\)  to  \(\frac{299619}{32}\).
\[-\frac{299619}{32}\]

Decimal Form: -9363.09375