Simplify 1/(1+1/x)

$\frac{1}{1 + \frac{1}{x}}$

Step 1

Simplify the denominator.

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

$\frac{1}{\frac{x}{x} + \frac{1}{x}}$

Combine the numerators over the common denominator.

$\frac{1}{\frac{x + 1}{x}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$1 \frac{x}{x + 1}$

Step 3

Multiply $\frac{x}{x + 1}$ by $1$ .

$\frac{x}{x + 1}$