Solve [-16*(4-2*1)*(-1/8)*1/14]*25

$$[ - 16 \times ( 4 - 2 \times 1 ) \times ( - \frac { 1 } { 8 } ) \times \frac { 1 } { 14 } ] \times 25$$

Evaluate

$$\frac{50}{7}\approx 7.142857143$$

Solution Steps

Multiply 2 and 1 to get 2.

$$-16\left(4-2\right)\left(-\frac{1}{8}\right)\times \frac{1}{14}\times 25$$

Subtract 2 from 4 to get 2.

$$-16\times 2\left(-\frac{1}{8}\right)\times \frac{1}{14}\times 25$$

Multiply -16 and 2 to get -32.

$$-32\left(-\frac{1}{8}\right)\times \frac{1}{14}\times 25$$

Express -32\left(-\frac{1}{8}\right) as a single fraction.

$$\frac{-32\left(-1\right)}{8}\times \frac{1}{14}\times 25$$

Multiply -32 and -1 to get 32.

$$\frac{32}{8}\times \frac{1}{14}\times 25$$

Divide 32 by 8 to get 4.

$$4\times \frac{1}{14}\times 25$$

Multiply 4 and \frac{1}{14} to get \frac{4}{14}.

$$\frac{4}{14}\times 25$$

Reduce the fraction \frac{4}{14} to lowest terms by extracting and canceling out 2.

$$\frac{2}{7}\times 25$$

Express \frac{2}{7}\times 25 as a single fraction.

$$\frac{2\times 25}{7}$$

Multiply 2 and 25 to get 50.

$$\frac{50}{7}$$

Factor

$$\frac{2 \cdot 5 ^ {2}}{7} = 7\frac{1}{7} = 7.142857142857143$$