Solve 16*-511/512/-frac{1{2}}

$$16 \cdot \frac { - \frac { 511 } { 512 } } { - \frac { 1 } { 2 } }$$

Evaluate

$$\frac{511}{16}=31.9375$$

Solution Steps

Divide -\frac{511}{512} by -\frac{1}{2} by multiplying -\frac{511}{512} by the reciprocal of -\frac{1}{2}.

$$16\left(-\frac{511}{512}\right)\left(-2\right)$$

Express -\frac{511}{512}\left(-2\right) as a single fraction.

$$16\times \frac{-511\left(-2\right)}{512}$$

Multiply -511 and -2 to get 1022.

$$16\times \frac{1022}{512}$$

Reduce the fraction \frac{1022}{512} to lowest terms by extracting and canceling out 2.

$$16\times \frac{511}{256}$$

Express 16\times \frac{511}{256} as a single fraction.

$$\frac{16\times 511}{256}$$

Multiply 16 and 511 to get 8176.

$$\frac{8176}{256}$$

Reduce the fraction \frac{8176}{256} to lowest terms by extracting and canceling out 16.

$$\frac{511}{16}$$

Factor

$$\frac{7 \cdot 73}{2 ^ {4}} = 31\frac{15}{16} = 31.9375$$