Solve [(-3/4)*(5/6)]div(-11/12)

$$[ ( - \frac { 3 } { 4 } ) \cdot ( \frac { 5 } { 6 } ) ] \div ( - \frac { 11 } { 12 } )$$

Evaluate

$$\frac{15}{22}\approx 0.681818182$$

Solution Steps

Multiply -\frac{3}{4} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{-3\times 5}{4\times 6}}{-\frac{11}{12}}$$

Do the multiplications in the fraction \frac{-3\times 5}{4\times 6}.

$$\frac{\frac{-15}{24}}{-\frac{11}{12}}$$

Reduce the fraction \frac{-15}{24} to lowest terms by extracting and canceling out 3.

$$\frac{-\frac{5}{8}}{-\frac{11}{12}}$$

Divide -\frac{5}{8} by -\frac{11}{12} by multiplying -\frac{5}{8} by the reciprocal of -\frac{11}{12}.

$$-\frac{5}{8}\left(-\frac{12}{11}\right)$$

Multiply -\frac{5}{8} times -\frac{12}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\left(-12\right)}{8\times 11}$$

Do the multiplications in the fraction \frac{-5\left(-12\right)}{8\times 11}.

$$\frac{60}{88}$$

Reduce the fraction \frac{60}{88} to lowest terms by extracting and canceling out 4.

$$\frac{15}{22}$$

Factor

$$\frac{3 \cdot 5}{2 \cdot 11} = 0.6818181818181818$$