Solve -8-(-8)*1/24div24*(-8)

$$- 8 - ( - 8 ) \times \frac { 1 } { 24 } \div 24 \times ( - 8 )$$

Evaluate

$$-\frac{73}{9}\approx -8.111111111$$

Solution Steps

Multiply -8 and \frac{1}{24} to get \frac{-8}{24}.

$$-8-\frac{\frac{-8}{24}}{24}\left(-8\right)$$

Reduce the fraction \frac{-8}{24} to lowest terms by extracting and canceling out 8.

$$-8-\frac{-\frac{1}{3}}{24}\left(-8\right)$$

Express \frac{-\frac{1}{3}}{24} as a single fraction.

$$-8-\frac{-1}{3\times 24}\left(-8\right)$$

Multiply 3 and 24 to get 72.

$$-8-\frac{-1}{72}\left(-8\right)$$

Fraction \frac{-1}{72} can be rewritten as -\frac{1}{72} by extracting the negative sign.

$$-8-\left(-\frac{1}{72}\left(-8\right)\right)$$

Express -\frac{1}{72}\left(-8\right) as a single fraction.

$$-8-\frac{-\left(-8\right)}{72}$$

Multiply -1 and -8 to get 8.

$$-8-\frac{8}{72}$$

Reduce the fraction \frac{8}{72} to lowest terms by extracting and canceling out 8.

$$-8-\frac{1}{9}$$

Convert -8 to fraction -\frac{72}{9}.

$$-\frac{72}{9}-\frac{1}{9}$$

Since -\frac{72}{9} and \frac{1}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-72-1}{9}$$

Subtract 1 from -72 to get -73.

$$-\frac{73}{9}$$

Factor

$$-\frac{73}{9} = -8\frac{1}{9} = -8.11111111111111$$