Simplify 1/(n^2)+1/n

$\frac{1}{n^{2}} + \frac{1}{n}$

Step 1

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

$\frac{1}{n^{2}} + \frac{1}{n} \cdot \frac{n}{n}$

Step 2

Write each expression with a common denominator of $n^{2}$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{n}$ by $\frac{n}{n}$ .

$\frac{1}{n^{2}} + \frac{n}{n \cdot n}$

Raise $n$ to the power of $1$ .

$\frac{1}{n^{2}} + \frac{n}{n^{1} n}$

Raise $n$ to the power of $1$ .

$\frac{1}{n^{2}} + \frac{n}{n^{1} n^{1}}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{1}{n^{2}} + \frac{n}{n^{1 + 1}}$

Add $1$ and $1$ .

$\frac{1}{n^{2}} + \frac{n}{n^{2}}$

Step 3

Combine the numerators over the common denominator.

$\frac{1 + n}{n^{2}}$