Solve -2div(-6)div1/2div3/4

$$- 2 \div ( - 6 ) \div \frac { 1 } { 2 } \div \frac { 3 } { 4 }$$

Evaluate

$$\frac{8}{9}\approx 0.888888889$$

Solution Steps

Divide \frac{\frac{-2}{-6}}{\frac{1}{2}} by \frac{3}{4} by multiplying \frac{\frac{-2}{-6}}{\frac{1}{2}} by the reciprocal of \frac{3}{4}.

$$\frac{\frac{-2}{-6}\times 4}{\frac{1}{2}\times 3}$$

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

$$\frac{\frac{1}{3}\times 4}{\frac{1}{2}\times 3}$$

Multiply \frac{1}{3} and 4 to get \frac{4}{3}.

$$\frac{\frac{4}{3}}{\frac{1}{2}\times 3}$$

Multiply \frac{1}{2} and 3 to get \frac{3}{2}.

$$\frac{\frac{4}{3}}{\frac{3}{2}}$$

Divide \frac{4}{3} by \frac{3}{2} by multiplying \frac{4}{3} by the reciprocal of \frac{3}{2}.

$$\frac{4}{3}\times \frac{2}{3}$$

Multiply \frac{4}{3} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 2}{3\times 3}$$

Do the multiplications in the fraction \frac{4\times 2}{3\times 3}.

$$\frac{8}{9}$$

Factor

$$\frac{2 ^ {3}}{3 ^ {2}} = 0.8888888888888888$$