Question

$$\frac{ 1 }{ 9 } \times \frac{ 4 }{ 27 } \times \frac{ 5 }{ 10 }$$

Answer

2/243

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{1\times 4\times 5}{9\times 27\times 10}\]
Simplify  \(1\times 4\)  to  \(4\).
\[\frac{4\times 5}{9\times 27\times 10}\]
Simplify  \(4\times 5\)  to  \(20\).
\[\frac{20}{9\times 27\times 10}\]
Simplify  \(9\times 27\)  to  \(243\).
\[\frac{20}{243\times 10}\]
Simplify  \(243\times 10\)  to  \(2430\).
\[\frac{20}{2430}\]
Simplify.
\[\frac{2}{243}\]

Decimal Form: 0.008230