Question

$$(12 \frac{ 1 }{ 9 } -10 \frac{ 2 }{ 5 } )$$

Answer

-8/3

Solution


Simplify  \(12\times \frac{1}{9}\)  to  \(\frac{12}{9}\).
\[\frac{12}{9}-10\times \frac{2}{5}\]
Simplify  \(\frac{12}{9}\)  to  \(\frac{4}{3}\).
\[\frac{4}{3}-10\times \frac{2}{5}\]
Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[\frac{4}{3}-\frac{10\times 2}{5}\]
Simplify  \(10\times 2\)  to  \(20\).
\[\frac{4}{3}-\frac{20}{5}\]
Simplify  \(\frac{20}{5}\)  to  \(4\).
\[\frac{4}{3}-4\]
Simplify.
\[-\frac{8}{3}\]

Decimal Form: -2.666667