Solve 25*(-0.125)*(-4)*(-4/5)*(-8)*11/4

$$25 \times ( - 0.125 ) \times ( - 4 ) \times ( - \frac { 4 } { 5 } ) \times ( - 8 ) \times 1 \frac { 1 } { 4 }$$

Evaluate

$$100$$

Solution Steps

Multiply 25 and -0.125 to get -3.125.

$$-3.125\left(-4\right)\left(-\frac{4}{5}\right)\left(-8\right)\times \frac{4+1}{4}$$

Multiply -3.125 and -4 to get 12.5.

$$12.5\left(-\frac{4}{5}\right)\left(-8\right)\times \frac{1\times 4+1}{4}$$

Convert decimal number 12.5 to fraction \frac{125}{10}. Reduce the fraction \frac{125}{10} to lowest terms by extracting and canceling out 5.

$$\frac{25}{2}\left(-\frac{4}{5}\right)\left(-8\right)\times \frac{1\times 4+1}{4}$$

Multiply \frac{25}{2} times -\frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\left(-4\right)}{2\times 5}\left(-8\right)\times \frac{1\times 4+1}{4}$$

Do the multiplications in the fraction \frac{25\left(-4\right)}{2\times 5}.

$$\frac{-100}{10}\left(-8\right)\times \frac{1\times 4+1}{4}$$

Divide -100 by 10 to get -10.

$$-10\left(-8\right)\times \frac{4+1}{4}$$

Multiply -10 and -8 to get 80.

$$80\times \frac{1\times 4+1}{4}$$

Multiply 1 and 4 to get 4.

$$80\times \frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$80\times \frac{5}{4}$$

Express 80\times \frac{5}{4} as a single fraction.

$$\frac{80\times 5}{4}$$

Multiply 80 and 5 to get 400.

$$\frac{400}{4}$$

Divide 400 by 4 to get 100.

$$100$$

Factor

$$2^{2}\times 5^{2}$$