Solve --5^3/6+20(-5)+12000

$$- \frac{ { -5 }^{ 3 } }{ 6 } +20(-5)+12000$$

Evaluate

$$\frac{71525}{6}\approx 11920.833333333$$

Solution Steps

Calculate -5 to the power of 3 and get -125.

$$-\frac{-125}{6}+20\left(-5\right)+12000$$

Fraction \frac{-125}{6} can be rewritten as -\frac{125}{6} by extracting the negative sign.

$$-\left(-\frac{125}{6}\right)+20\left(-5\right)+12000$$

The opposite of -\frac{125}{6} is \frac{125}{6}.

$$\frac{125}{6}+20\left(-5\right)+12000$$

Multiply 20 and -5 to get -100.

$$\frac{125}{6}-100+12000$$

Convert 100 to fraction \frac{600}{6}.

$$\frac{125}{6}-\frac{600}{6}+12000$$

Since \frac{125}{6} and \frac{600}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{125-600}{6}+12000$$

Subtract 600 from 125 to get -475.

$$-\frac{475}{6}+12000$$

Convert 12000 to fraction \frac{72000}{6}.

$$-\frac{475}{6}+\frac{72000}{6}$$

Since -\frac{475}{6} and \frac{72000}{6} have the same denominator, add them by adding their numerators.

$$\frac{-475+72000}{6}$$

Add -475 and 72000 to get 71525.

$$\frac{71525}{6}$$

Factor

$$\frac{5 ^ {2} \cdot 2861}{2 \cdot 3} = 11920\frac{5}{6} = 11920.833333333334$$