Question

$$-2 \frac{ 2 }{ 5 } \times (-3 \frac{ 1 }{ 8 } )$$

Answer

3/10

Solution


Simplify  \(3\times \frac{1}{8}\)  to  \(\frac{3}{8}\).
\[-2\times \frac{2}{5}\times \frac{-3}{8}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[-\frac{2\times 2\times -3}{5\times 8}\]
Simplify  \(2\times 2\)  to  \(4\).
\[-\frac{4\times -3}{5\times 8}\]
Simplify  \(4\times -3\)  to  \(-12\).
\[-\frac{-12}{5\times 8}\]
Simplify  \(5\times 8\)  to  \(40\).
\[-\frac{-12}{40}\]
Move the negative sign to the left.
\[-(-\frac{12}{40})\]
Simplify  \(\frac{12}{40}\)  to  \(\frac{3}{10}\).
\[-(-\frac{3}{10})\]
Remove parentheses.
\[\frac{3}{10}\]

Decimal Form: 0.3