Question

$$\frac{42}{7}\times\frac{18}{20}\times\frac{15}{10}=$$

Answer

mixed(8,1/10)

Solution


Simplify  \(\frac{42}{7}\)  to  \(6\).
\[6\times \frac{18}{20}\times \frac{15}{10}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{6\times 18\times 15}{20\times 10}\]
Simplify  \(6\times 18\)  to  \(108\).
\[\frac{108\times 15}{20\times 10}\]
Simplify  \(108\times 15\)  to  \(1620\).
\[\frac{1620}{20\times 10}\]
Simplify  \(20\times 10\)  to  \(200\).
\[\frac{1620}{200}\]
Simplify.
\[\frac{81}{10}\]
Convert to mixed fraction.
\[8\frac{1}{10}\]

Decimal Form: 8.1