Solve (-2/5)^2:(-0,3)

$$( \frac { - 2 } { 5 } ) ^ { 2 } : ( - 0,3 )$$

Evaluate

$$-\frac{8}{15}\approx -0,533333333$$

Solution Steps

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

$$\frac{\left(-\frac{2}{5}\right)^{2}}{-0,3}$$

Calculate -\frac{2}{5} to the power of 2 and get \frac{4}{25}.

$$\frac{\frac{4}{25}}{-0,3}$$

Express \frac{\frac{4}{25}}{-0,3} as a single fraction.

$$\frac{4}{25\left(-0,3\right)}$$

Multiply 25 and -0,3 to get -7,5.

$$\frac{4}{-7,5}$$

Expand \frac{4}{-7,5} by multiplying both numerator and the denominator by 10.

$$\frac{40}{-75}$$

Reduce the fraction \frac{40}{-75} to lowest terms by extracting and canceling out 5.

$$-\frac{8}{15}$$

Factor

$$-\frac{8}{15} = -0.5333333333333333$$