Solve -1/1-frac{8760-1095{8760}}

$$- \frac{ 1 }{ 1- \frac{ 8760-1095 }{ 8760 } }$$

Evaluate

$$-8$$

Solution Steps

Subtract 1095 from 8760 to get 7665.

$$-\frac{1}{1-\frac{7665}{8760}}$$

Reduce the fraction \frac{7665}{8760} to lowest terms by extracting and canceling out 1095.

$$-\frac{1}{1-\frac{7}{8}}$$

Convert 1 to fraction \frac{8}{8}.

$$-\frac{1}{\frac{8}{8}-\frac{7}{8}}$$

Since \frac{8}{8} and \frac{7}{8} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{1}{\frac{8-7}{8}}$$

Subtract 7 from 8 to get 1.

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

Divide 1 by \frac{1}{8} by multiplying 1 by the reciprocal of \frac{1}{8}.

$$-1\times 8$$

Multiply 1 and 8 to get 8.

$$-8$$

Factor

$$-8$$