Solve -15^3/6+20(15)+12000

$$- \frac{ { 15 }^{ 3 } }{ 6 } +20(15)+12000$$

Evaluate

$$\frac{23475}{2}=11737.5$$

Solution Steps

Calculate 15 to the power of 3 and get 3375.

$$-\frac{3375}{6}+20\times 15+12000$$

Reduce the fraction \frac{3375}{6} to lowest terms by extracting and canceling out 3.

$$-\frac{1125}{2}+20\times 15+12000$$

Multiply 20 and 15 to get 300.

$$-\frac{1125}{2}+300+12000$$

Convert 300 to fraction \frac{600}{2}.

$$-\frac{1125}{2}+\frac{600}{2}+12000$$

Since -\frac{1125}{2} and \frac{600}{2} have the same denominator, add them by adding their numerators.

$$\frac{-1125+600}{2}+12000$$

Add -1125 and 600 to get -525.

$$-\frac{525}{2}+12000$$

Convert 12000 to fraction \frac{24000}{2}.

$$-\frac{525}{2}+\frac{24000}{2}$$

Since -\frac{525}{2} and \frac{24000}{2} have the same denominator, add them by adding their numerators.

$$\frac{-525+24000}{2}$$

Add -525 and 24000 to get 23475.

$$\frac{23475}{2}$$

Factor

$$\frac{3 \cdot 5 ^ {2} \cdot 313}{2} = 11737\frac{1}{2} = 11737.5$$