Solve {left(1/3right)}^2div(3*(-2/5))

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

Evaluate

$$-\frac{5}{54}\approx -0.092592593$$

Solution Steps

Calculate \frac{1}{3} to the power of 2 and get \frac{1}{9}.

$$\frac{\frac{1}{9}}{3\left(-\frac{2}{5}\right)}$$

Express 3\left(-\frac{2}{5}\right) as a single fraction.

$$\frac{\frac{1}{9}}{\frac{3\left(-2\right)}{5}}$$

Multiply 3 and -2 to get -6.

$$\frac{\frac{1}{9}}{\frac{-6}{5}}$$

Fraction \frac{-6}{5} can be rewritten as -\frac{6}{5} by extracting the negative sign.

$$\frac{\frac{1}{9}}{-\frac{6}{5}}$$

Divide \frac{1}{9} by -\frac{6}{5} by multiplying \frac{1}{9} by the reciprocal of -\frac{6}{5}.

$$\frac{1}{9}\left(-\frac{5}{6}\right)$$

Multiply \frac{1}{9} times -\frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-5\right)}{9\times 6}$$

Do the multiplications in the fraction \frac{1\left(-5\right)}{9\times 6}.

$$\frac{-5}{54}$$

Fraction \frac{-5}{54} can be rewritten as -\frac{5}{54} by extracting the negative sign.

$$-\frac{5}{54}$$

Factor

$$-\frac{5}{54} = -0.09259259259259259$$