Solve -(25/2(-frac{25{16})}

$$-( \frac{ 25 }{ 2(- \frac{ 25 }{ 16 } ) }$$

Evaluate

$$8$$

Solution Steps

Express 2\left(-\frac{25}{16}\right) as a single fraction.

$$-\frac{25}{\frac{2\left(-25\right)}{16}}$$

Multiply 2 and -25 to get -50.

$$-\frac{25}{\frac{-50}{16}}$$

Reduce the fraction \frac{-50}{16} to lowest terms by extracting and canceling out 2.

$$-\frac{25}{-\frac{25}{8}}$$

Divide 25 by -\frac{25}{8} by multiplying 25 by the reciprocal of -\frac{25}{8}.

$$-25\left(-\frac{8}{25}\right)$$

Cancel out 25 and 25.

$$-\left(-8\right)$$

The opposite of -8 is 8.

$$8$$

Factor

$$2^{3}$$