Question

$$(-2/5 \times 3/10)+(-2/5 \times 1 \times 5)$$

Answer

-53/25

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[-\frac{2\times 3}{5\times 10}-\frac{2}{5}\times 1\times 5\]
Simplify  \(2\times 3\)  to  \(6\).
\[-\frac{6}{5\times 10}-\frac{2}{5}\times 1\times 5\]
Simplify  \(5\times 10\)  to  \(50\).
\[-\frac{6}{50}-\frac{2}{5}\times 1\times 5\]
Simplify  \(\frac{6}{50}\)  to  \(\frac{3}{25}\).
\[-\frac{3}{25}-\frac{2}{5}\times 1\times 5\]
Cancel \(5\).
\[-\frac{3}{25}-2\]
Simplify.
\[-\frac{53}{25}\]

Decimal Form: -2.12