Solve -13/800184^2+6*184-500

$$\frac{ -13 }{ 800 } { 184 }^{ 2 } +6 \times 184-500$$

Evaluate

$$\frac{1346}{25}=53.84$$

Solution Steps

Fraction \frac{-13}{800} can be rewritten as -\frac{13}{800} by extracting the negative sign.

$$-\frac{13}{800}\times 184^{2}+6\times 184-500$$

Calculate 184 to the power of 2 and get 33856.

$$-\frac{13}{800}\times 33856+6\times 184-500$$

Express -\frac{13}{800}\times 33856 as a single fraction.

$$\frac{-13\times 33856}{800}+6\times 184-500$$

Multiply -13 and 33856 to get -440128.

$$\frac{-440128}{800}+6\times 184-500$$

Reduce the fraction \frac{-440128}{800} to lowest terms by extracting and canceling out 32.

$$-\frac{13754}{25}+6\times 184-500$$

Multiply 6 and 184 to get 1104.

$$-\frac{13754}{25}+1104-500$$

Convert 1104 to fraction \frac{27600}{25}.

$$-\frac{13754}{25}+\frac{27600}{25}-500$$

Since -\frac{13754}{25} and \frac{27600}{25} have the same denominator, add them by adding their numerators.

$$\frac{-13754+27600}{25}-500$$

Add -13754 and 27600 to get 13846.

$$\frac{13846}{25}-500$$

Convert 500 to fraction \frac{12500}{25}.

$$\frac{13846}{25}-\frac{12500}{25}$$

Since \frac{13846}{25} and \frac{12500}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13846-12500}{25}$$

Subtract 12500 from 13846 to get 1346.

$$\frac{1346}{25}$$

Factor

$$\frac{2 \cdot 673}{5 ^ {2}} = 53\frac{21}{25} = 53.84$$