Solve -6/5*(-1/6)*4/9div(-4/3)

$$- \frac { 6 } { 5 } \times ( - \frac { 1 } { 6 } ) \times \frac { 4 } { 9 } \div ( - \frac { 4 } { 3 } )$$

Evaluate

$$-\frac{1}{15}\approx -0.066666667$$

Solution Steps

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

$$\frac{\frac{-6\left(-1\right)}{5\times 6}\times \frac{4}{9}}{-\frac{4}{3}}$$

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

$$\frac{\frac{6}{30}\times \frac{4}{9}}{-\frac{4}{3}}$$

Reduce the fraction \frac{6}{30} to lowest terms by extracting and canceling out 6.

$$\frac{\frac{1}{5}\times \frac{4}{9}}{-\frac{4}{3}}$$

Multiply \frac{1}{5} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 4}{5\times 9}}{-\frac{4}{3}}$$

Do the multiplications in the fraction \frac{1\times 4}{5\times 9}.

$$\frac{\frac{4}{45}}{-\frac{4}{3}}$$

Divide \frac{4}{45} by -\frac{4}{3} by multiplying \frac{4}{45} by the reciprocal of -\frac{4}{3}.

$$\frac{4}{45}\left(-\frac{3}{4}\right)$$

Multiply \frac{4}{45} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\left(-3\right)}{45\times 4}$$

Cancel out 4 in both numerator and denominator.

$$\frac{-3}{45}$$

Reduce the fraction \frac{-3}{45} to lowest terms by extracting and canceling out 3.

$$-\frac{1}{15}$$

Factor

$$-\frac{1}{15} = -0.06666666666666667$$