Solve {[-2+(-3):(-1)]:(-6)+4}:(-7+6)

$$\{ [ - 2 + ( - 3 ) : ( - 1 ) ] : ( - 6 ) + 4 \} : ( - 7 + 6 )$$

Evaluate

$$-\frac{23}{6}\approx -3.833333333$$

Solution Steps

Fraction \frac{-3}{-1} can be simplified to 3 by removing the negative sign from both the numerator and the denominator.

$$\frac{\frac{-2+3}{-6}+4}{-7+6}$$

Add -2 and 3 to get 1.

$$\frac{\frac{1}{-6}+4}{-7+6}$$

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

$$\frac{-\frac{1}{6}+4}{-7+6}$$

Convert 4 to fraction \frac{24}{6}.

$$\frac{-\frac{1}{6}+\frac{24}{6}}{-7+6}$$

Since -\frac{1}{6} and \frac{24}{6} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-1+24}{6}}{-7+6}$$

Add -1 and 24 to get 23.

$$\frac{\frac{23}{6}}{-7+6}$$

Add -7 and 6 to get -1.

$$\frac{\frac{23}{6}}{-1}$$

Express \frac{\frac{23}{6}}{-1} as a single fraction.

$$\frac{23}{6\left(-1\right)}$$

Multiply 6 and -1 to get -6.

$$\frac{23}{-6}$$

Fraction \frac{23}{-6} can be rewritten as -\frac{23}{6} by extracting the negative sign.

$$-\frac{23}{6}$$

Factor

$$-\frac{23}{6} = -3\frac{5}{6} = -3.8333333333333335$$