Solve 1/2*(-2/3)div(-1/6)div(-18/5)

$$\frac { 1 } { 2 } \times ( - \frac { 2 } { 3 } ) \div ( - \frac { 1 } { 6 } ) \div ( - \frac { 18 } { 5 } )$$

Evaluate

$$-\frac{5}{9}\approx -0.555555556$$

Solution Steps

Divide \frac{\frac{1}{2}\left(-\frac{2}{3}\right)}{-\frac{1}{6}} by -\frac{18}{5} by multiplying \frac{\frac{1}{2}\left(-\frac{2}{3}\right)}{-\frac{1}{6}} by the reciprocal of -\frac{18}{5}.

$$\frac{\frac{1}{2}\left(-\frac{2}{3}\right)\times 5}{-\frac{1}{6}\left(-18\right)}$$

Multiply \frac{1}{2} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\left(-2\right)}{2\times 3}\times 5}{-\frac{1}{6}\left(-18\right)}$$

Do the multiplications in the fraction \frac{1\left(-2\right)}{2\times 3}.

$$\frac{\frac{-2}{6}\times 5}{-\frac{1}{6}\left(-18\right)}$$

Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{1}{3}\times 5}{-\frac{1}{6}\left(-18\right)}$$

Express -\frac{1}{3}\times 5 as a single fraction.

$$\frac{\frac{-5}{3}}{-\frac{1}{6}\left(-18\right)}$$

Fraction \frac{-5}{3} can be rewritten as -\frac{5}{3} by extracting the negative sign.

$$\frac{-\frac{5}{3}}{-\frac{1}{6}\left(-18\right)}$$

Express -\frac{1}{6}\left(-18\right) as a single fraction.

$$\frac{-\frac{5}{3}}{\frac{-\left(-18\right)}{6}}$$

Multiply -1 and -18 to get 18.

$$\frac{-\frac{5}{3}}{\frac{18}{6}}$$

Divide 18 by 6 to get 3.

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

Express \frac{-\frac{5}{3}}{3} as a single fraction.

$$\frac{-5}{3\times 3}$$

Multiply 3 and 3 to get 9.

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

Fraction \frac{-5}{9} can be rewritten as -\frac{5}{9} by extracting the negative sign.

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

Factor

$$-\frac{5}{9} = -0.5555555555555556$$