Solve 2(-2/5)div(-3/10)^-1

$$2 ( \frac { - 2 } { 5 } ) \div ( \frac { - 3 } { 10 } ) ^ { - 1 }$$

Evaluate

$$\frac{6}{25}=0.24$$

Solution Steps

Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

$$\frac{2\left(-\frac{2}{5}\right)}{\left(\frac{-3}{10}\right)^{-1}}$$

Multiply 2 and -\frac{2}{5} to get -\frac{4}{5}.

$$\frac{-\frac{4}{5}}{\left(\frac{-3}{10}\right)^{-1}}$$

Fraction \frac{-3}{10} can be rewritten as -\frac{3}{10} by extracting the negative sign.

$$\frac{-\frac{4}{5}}{\left(-\frac{3}{10}\right)^{-1}}$$

Calculate -\frac{3}{10} to the power of -1 and get -\frac{10}{3}.

$$\frac{-\frac{4}{5}}{-\frac{10}{3}}$$

Divide -\frac{4}{5} by -\frac{10}{3} by multiplying -\frac{4}{5} by the reciprocal of -\frac{10}{3}.

$$-\frac{4}{5}\left(-\frac{3}{10}\right)$$

Multiply -\frac{4}{5} and -\frac{3}{10} to get \frac{6}{25}.

$$\frac{6}{25}$$

Factor

$$\frac{2 \cdot 3}{5 ^ {2}} = 0.24$$