Solve -27:|4:(-2)-15:(-3)-|14:(-1)

$$- 27 : | 4 : ( - 2 ) - 15 : ( - 3 ) - | 14 : ( - 1 )$$

Evaluate

$$-\frac{27}{11}\approx -2.454545455$$

Solution Steps

Divide 4 by -2 to get -2.

$$\frac{-27}{|-2-\frac{15}{-3}-|\frac{14}{-1}||}$$

Divide 15 by -3 to get -5.

$$\frac{-27}{|-2-\left(-5\right)-|\frac{14}{-1}||}$$

The opposite of -5 is 5.

$$\frac{-27}{|-2+5-|\frac{14}{-1}||}$$

Add -2 and 5 to get 3.

$$\frac{-27}{|3-|\frac{14}{-1}||}$$

Fraction \frac{14}{-1} can be rewritten as -14 by extracting the negative sign.

$$\frac{-27}{|3-|-14||}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -14 is 14.

$$\frac{-27}{|3-14|}$$

Subtract 14 from 3 to get -11.

$$\frac{-27}{|-11|}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -11 is 11.

$$\frac{-27}{11}$$

Fraction \frac{-27}{11} can be rewritten as -\frac{27}{11} by extracting the negative sign.

$$-\frac{27}{11}$$

Factor

$$-\frac{27}{11} = -2\frac{5}{11} = -2.4545454545454546$$