Question

$$\frac{ \frac{ 6 }{ 5 } }{ \frac{ 4 }{ 9 } }$$

Answer

27/10

Solution


Invert and multiply.
\[\frac{6}{5}\times \frac{9}{4}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{6\times 9}{5\times 4}\]
Simplify  \(6\times 9\)  to  \(54\).
\[\frac{54}{5\times 4}\]
Simplify  \(5\times 4\)  to  \(20\).
\[\frac{54}{20}\]
Simplify.
\[\frac{27}{10}\]

Decimal Form: 2.7