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

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

Evaluate

$$\frac{1}{8}=0.125$$

Solution Steps

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

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

Express -2\times \frac{3}{4} as a single fraction.

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

Multiply -2 and 3 to get -6.

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

Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.

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

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

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

Multiply -6 and 2 to get -12.

$$\frac{-\frac{3}{2}}{-12}$$

Express \frac{-\frac{3}{2}}{-12} as a single fraction.

$$\frac{-3}{2\left(-12\right)}$$

Multiply 2 and -12 to get -24.

$$\frac{-3}{-24}$$

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

$$\frac{1}{8}$$

Factor

$$\frac{1}{2 ^ {3}} = 0.125$$