addfrac(x+1/x) — step-by-step solution

The original denominators must be nonzero:

x \neq 0

Let's add fractions:

x + \frac{1}{x}

ⓘ To add fractions, put them over the same denominator, then add the numerators:

x + \frac{1}{x}

\frac{x \cdot x + 1}{x}

\frac{x \cdot x + 1}{x}

ⓘ To multiply powers with the same base, add their exponents:

x \cdot x

x^{2}

▶Result:

\frac{x^{2} + 1}{x}