Question

$$14 \frac { 2 } { 23 } \div \frac { 5 } { 16 }$$

Answer

2272/115

Solution


Invert and multiply.
\[\frac{142}{23}\times \frac{16}{5}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{142\times 16}{23\times 5}\]
Simplify  \(142\times 16\)  to  \(2272\).
\[\frac{2272}{23\times 5}\]
Simplify  \(23\times 5\)  to  \(115\).
\[\frac{2272}{115}\]

Decimal Form: 19.756522