Solve (-41/51+8)div(-41/51-9)

$$(- \frac{ 41 }{ 51 } +8) \div (- \frac{ 41 }{ 51 } -9)$$

Evaluate

$$-\frac{367}{500}=-0.734$$

Solution Steps

Convert 8 to fraction \frac{408}{51}.

$$\frac{-\frac{41}{51}+\frac{408}{51}}{-\frac{41}{51}-9}$$

Since -\frac{41}{51} and \frac{408}{51} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-41+408}{51}}{-\frac{41}{51}-9}$$

Add -41 and 408 to get 367.

$$\frac{\frac{367}{51}}{-\frac{41}{51}-9}$$

Convert 9 to fraction \frac{459}{51}.

$$\frac{\frac{367}{51}}{-\frac{41}{51}-\frac{459}{51}}$$

Since -\frac{41}{51} and \frac{459}{51} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{367}{51}}{\frac{-41-459}{51}}$$

Subtract 459 from -41 to get -500.

$$\frac{\frac{367}{51}}{-\frac{500}{51}}$$

Divide \frac{367}{51} by -\frac{500}{51} by multiplying \frac{367}{51} by the reciprocal of -\frac{500}{51}.

$$\frac{367}{51}\left(-\frac{51}{500}\right)$$

Multiply \frac{367}{51} times -\frac{51}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{367\left(-51\right)}{51\times 500}$$

Do the multiplications in the fraction \frac{367\left(-51\right)}{51\times 500}.

$$\frac{-18717}{25500}$$

Reduce the fraction \frac{-18717}{25500} to lowest terms by extracting and canceling out 51.

$$-\frac{367}{500}$$

Factor

$$-\frac{367}{500} = -0.734$$