Question

$$12 \frac{ 5 }{ 12 } \times 7 \frac{ 2 }{ 3 }$$

Answer

mixed(23,1/3)

Solution


Cancel \(12\).
\[5\times 7\times \frac{2}{3}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{5\times 7\times 2}{3}\]
Simplify  \(5\times 7\)  to  \(35\).
\[\frac{35\times 2}{3}\]
Simplify  \(35\times 2\)  to  \(70\).
\[\frac{70}{3}\]
Convert to mixed fraction.
\[23\frac{1}{3}\]

Decimal Form: 23.333333