Solve [-2div(-6)]div(1/2div3/4)

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

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

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

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

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

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

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

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

$$-\frac{3}{4}\left(-\frac{2}{3}\right)$$

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

$$\frac{-3\left(-2\right)}{4\times 3}$$

Do the multiplications in the fraction \frac{-3\left(-2\right)}{4\times 3}.

$$\frac{6}{12}$$

Reduce the fraction \frac{6}{12} to lowest terms by extracting and canceling out 6.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$