Precalculus Examples

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

Step 2

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

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

Step 3

Combine the numerators over the common denominator.

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

Step 4

Cancel the common factor of $x$ .

Tap for more steps...

Step 4.1

Cancel the common factor.

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

Step 4.2

Rewrite the expression.

$x + 1$