Question

$$\frac{24}{7}\div\frac{(16}{5}\div\frac{3}{5})$$

Answer

1729/33

Solution


Simplify  \(\frac{165}{35}\)  to  \(\frac{33}{7}\).
\[\frac{247}{\frac{33}{7}}\]
Invert and multiply.
\[247\times \frac{7}{33}\]
Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[\frac{247\times 7}{33}\]
Simplify  \(247\times 7\)  to  \(1729\).
\[\frac{1729}{33}\]

Decimal Form: 52.393939