Solve 2/9div(-6/5)

$$\frac { 2 } { 9 } \div ( - \frac { 6 } { 5 } )$$

Evaluate

$$-\frac{5}{27}\approx -0.185185185$$

Solution Steps

Divide \frac{2}{9} by -\frac{6}{5} by multiplying \frac{2}{9} by the reciprocal of -\frac{6}{5}.

$$\frac{2}{9}\left(-\frac{5}{6}\right)$$

Multiply \frac{2}{9} times -\frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\left(-5\right)}{9\times 6}$$

Do the multiplications in the fraction \frac{2\left(-5\right)}{9\times 6}.

$$\frac{-10}{54}$$

Reduce the fraction \frac{-10}{54} to lowest terms by extracting and canceling out 2.

$$-\frac{5}{27}$$

Factor

$$-\frac{5}{27} = -0.18518518518518517$$