Basic Math Examples

$3 \cdot n + \frac{2}{n} + 9$

Step 1

To write $3 n$ as a fraction with a common denominator, multiply by $\frac{n}{n}$ .

$\frac{3 n \cdot n}{n} + \frac{2}{n} + 9$

Step 2

Combine the numerators over the common denominator.

$\frac{3 n \cdot n + 2}{n} + 9$

Step 3

Multiply $n$ by $n$ by adding the exponents.

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Step 3.1

Move $n$ .

$\frac{3 (n \cdot n) + 2}{n} + 9$

Step 3.2

Multiply $n$ by $n$ .

$\frac{3 n^{2} + 2}{n} + 9$

Step 4

To write $9$ as a fraction with a common denominator, multiply by $\frac{n}{n}$ .

$\frac{3 n^{2} + 2}{n} + \frac{9 n}{n}$

Step 5

Combine the numerators over the common denominator.

$\frac{3 n^{2} + 2 + 9 n}{n}$

Step 6

Reorder terms.

$\frac{3 n^{2} + 9 n + 2}{n}$