Question

$$(- \frac{ 15 }{ 18) } x \frac{ 40 }{ 27 }$$

Answer

-(100*x)/81

Solution


Simplify  \(\frac{15}{18}\)  to  \(\frac{5}{6}\).
\[-\frac{5}{6}x\times \frac{40}{27}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[-\frac{5x\times 40}{6\times 27}\]
Simplify  \(5x\times 40\)  to  \(200x\).
\[-\frac{200x}{6\times 27}\]
Simplify  \(6\times 27\)  to  \(162\).
\[-\frac{200x}{162}\]
Simplify  \(\frac{200x}{162}\)  to  \(\frac{100x}{81}\).
\[-\frac{100x}{81}\]