Question

$$2\frac{5}{6}\times\frac{18}{85}\times3\frac{8}{9}$$

Answer

mixed(3,37/51)

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{25\times 18\times 38}{6\times 85\times 9}\]
Simplify  \(25\times 18\)  to  \(450\).
\[\frac{450\times 38}{6\times 85\times 9}\]
Simplify  \(450\times 38\)  to  \(17100\).
\[\frac{17100}{6\times 85\times 9}\]
Simplify  \(6\times 85\)  to  \(510\).
\[\frac{17100}{510\times 9}\]
Simplify  \(510\times 9\)  to  \(4590\).
\[\frac{17100}{4590}\]
Simplify.
\[\frac{190}{51}\]
Convert to mixed fraction.
\[3\frac{37}{51}\]

Decimal Form: 3.725490