Evaluate (-1/8)/(-1/8+1)-1

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

Simplify each term.

Multiply the numerator by the reciprocal of the denominator.

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

Simplify the denominator.

Write $1$ as a fraction with a common denominator.

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

Combine the numerators over the common denominator.

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

Add $- 1$ and $8$ .

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

Multiply the numerator by the reciprocal of the denominator.

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

Multiply $\frac{8}{7}$ by $1$ .

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

Cancel the common factor of $8$ .

Move the leading negative in $- \frac{1}{8}$ into the numerator.

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

Cancel the common factor.

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

Rewrite the expression.

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

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

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

Combine $- 1$ and $\frac{7}{7}$ .

$- \frac{1}{7} + \frac{- 1 \cdot 7}{7}$

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $- 1$ by $7$ .

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

Subtract $7$ from $- 1$ .

$\frac{- 8}{7}$

Move the negative in front of the fraction.

$- \frac{8}{7}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{8}{7}$

Decimal Form:

$- 1.\overline{142857}$

Mixed Number Form:

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