Question

$$8 \frac{ 3 }{ 10 } \times 9 \frac{ 3 }{ 5 }$$

Answer

mixed(12,24/25)

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{8\times 3\times 9\times 3}{10\times 5}\]
Simplify  \(8\times 3\)  to  \(24\).
\[\frac{24\times 9\times 3}{10\times 5}\]
Simplify  \(24\times 9\)  to  \(216\).
\[\frac{216\times 3}{10\times 5}\]
Simplify  \(216\times 3\)  to  \(648\).
\[\frac{648}{10\times 5}\]
Simplify  \(10\times 5\)  to  \(50\).
\[\frac{648}{50}\]
Simplify.
\[\frac{324}{25}\]
Convert to mixed fraction.
\[12\frac{24}{25}\]

Decimal Form: 12.96