Solve -1div{[12*(-1/8)+0.5*(-3)]*(-4)+(-6)}

$$- 1 \div \{ [ 12 \times ( - \frac { 1 } { 8 } ) + 0.5 \times ( - 3 ) ] \times ( - 4 ) + ( - 6 ) \}$$

Evaluate

$$-\frac{1}{6}\approx -0.166666667$$

Solution Steps

Express 12\left(-\frac{1}{8}\right) as a single fraction.

$$\frac{-1}{\left(\frac{12\left(-1\right)}{8}+0.5\left(-3\right)\right)\left(-4\right)-6}$$

Multiply 12 and -1 to get -12.

$$\frac{-1}{\left(\frac{-12}{8}+0.5\left(-3\right)\right)\left(-4\right)-6}$$

Reduce the fraction \frac{-12}{8} to lowest terms by extracting and canceling out 4.

$$\frac{-1}{\left(-\frac{3}{2}+0.5\left(-3\right)\right)\left(-4\right)-6}$$

Multiply 0.5 and -3 to get -1.5.

$$\frac{-1}{\left(-\frac{3}{2}-1.5\right)\left(-4\right)-6}$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

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

Since -\frac{3}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from -3 to get -6.

$$\frac{-1}{\frac{-6}{2}\left(-4\right)-6}$$

Divide -6 by 2 to get -3.

$$\frac{-1}{-3\left(-4\right)-6}$$

Multiply -3 and -4 to get 12.

$$\frac{-1}{12-6}$$

Subtract 6 from 12 to get 6.

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

Fraction \frac{-1}{6} can be rewritten as -\frac{1}{6} by extracting the negative sign.

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

Factor

$$-\frac{1}{6} = -0.16666666666666666$$