Question

$$11/7 \times 9/2 \times 11$$

Answer

mixed(77,11/14)

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{11\times 9\times 11}{7\times 2}\]
Simplify  \(11\times 9\)  to  \(99\).
\[\frac{99\times 11}{7\times 2}\]
Simplify  \(99\times 11\)  to  \(1089\).
\[\frac{1089}{7\times 2}\]
Simplify  \(7\times 2\)  to  \(14\).
\[\frac{1089}{14}\]
Convert to mixed fraction.
\[77\frac{11}{14}\]

Decimal Form: 77.785714