Basic Math Examples

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

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 $1$ .

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Step 2.1

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

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

Step 2.2

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

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

Step 2.3

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

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

Step 2.4

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

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

Step 2.5

Add $1$ and $1$ .

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

Step 3

Combine the numerators over the common denominator.

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