Evaluate (1/2)/(1-1/2)

$\frac{\frac{1}{2}}{1 - \frac{1}{2}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{2} \cdot \frac{1}{1 - \frac{1}{2}}$

Simplify the denominator.

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

$\frac{1}{2} \cdot \frac{1}{\frac{2}{2} - \frac{1}{2}}$

Combine the numerators over the common denominator.

$\frac{1}{2} \cdot \frac{1}{\frac{2 - 1}{2}}$

Subtract $1$ from $2$ .

$\frac{1}{2} \cdot \frac{1}{\frac{1}{2}}$

Reduce the expression by cancelling the common factors.

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{2} (1 \cdot 2)$

Cancel the common factor of $2$ .

Factor $2$ out of $1 \cdot 2$ .

$\frac{1}{2} (2 \cdot 1)$

Cancel the common factor.

$\frac{1}{2} (2 \cdot 1)$

Rewrite the expression.

$1$