Solve (-5/6*4/15-2/15):(-8)

$$( - \frac { 5 } { 6 } \cdot \frac { 4 } { 15 } - \frac { 2 } { 15 } ) : ( - 8 )$$

Evaluate

$$\frac{2}{45}\approx 0.044444444$$

Solution Steps

Multiply -\frac{5}{6} times \frac{4}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{-5\times 4}{6\times 15}-\frac{2}{15}}{-8}$$

Do the multiplications in the fraction \frac{-5\times 4}{6\times 15}.

$$\frac{\frac{-20}{90}-\frac{2}{15}}{-8}$$

Reduce the fraction \frac{-20}{90} to lowest terms by extracting and canceling out 10.

$$\frac{-\frac{2}{9}-\frac{2}{15}}{-8}$$

Least common multiple of 9 and 15 is 45. Convert -\frac{2}{9} and \frac{2}{15} to fractions with denominator 45.

$$\frac{-\frac{10}{45}-\frac{6}{45}}{-8}$$

Since -\frac{10}{45} and \frac{6}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{-10-6}{45}}{-8}$$

Subtract 6 from -10 to get -16.

$$\frac{-\frac{16}{45}}{-8}$$

Express \frac{-\frac{16}{45}}{-8} as a single fraction.

$$\frac{-16}{45\left(-8\right)}$$

Multiply 45 and -8 to get -360.

$$\frac{-16}{-360}$$

Reduce the fraction \frac{-16}{-360} to lowest terms by extracting and canceling out -8.

$$\frac{2}{45}$$

Factor

$$\frac{2}{3 ^ {2} \cdot 5} = 0.044444444444444446$$