Question

$$\frac{33}{4}\times\frac{11}{2}$$

Answer

mixed(45,3/8)

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{33\times 11}{4\times 2}\]
Simplify  \(33\times 11\)  to  \(363\).
\[\frac{363}{4\times 2}\]
Simplify  \(4\times 2\)  to  \(8\).
\[\frac{363}{8}\]
Convert to mixed fraction.
\[45\frac{3}{8}\]

Decimal Form: 45.375