Question

$$\frac{ 9 }{ 13 } \times \frac{ 61 }{ 81 } 357$$

Answer

mixed(186,5/39)

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{9\times 61\times 357}{13\times 81}\]
Simplify  \(9\times 61\)  to  \(549\).
\[\frac{549\times 357}{13\times 81}\]
Simplify  \(549\times 357\)  to  \(195993\).
\[\frac{195993}{13\times 81}\]
Simplify  \(13\times 81\)  to  \(1053\).
\[\frac{195993}{1053}\]
Simplify.
\[\frac{7259}{39}\]
Convert to mixed fraction.
\[186\frac{5}{39}\]

Decimal Form: 186.128205