Basic Math Examples

$\frac{3 n + 1}{n + 1} + \frac{2}{n + 1}$

Step 1

Combine the numerators over the common denominator.

$\frac{3 n + 1 + 2}{n + 1}$

Step 2

Rewrite $\frac{3 n + 1 + 2}{n + 1}$ in a factored form.

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Step 2.1

Add $1$ and $2$ .

$\frac{3 n + 3}{n + 1}$

Step 2.2

Factor $3$ out of $3 n + 3$ .

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Step 2.2.1

Factor $3$ out of $3 n$ .

$\frac{3 (n) + 3}{n + 1}$

Step 2.2.2

Factor $3$ out of $3$ .

$\frac{3 (n) + 3 (1)}{n + 1}$

Step 2.2.3

Factor $3$ out of $3 (n) + 3 (1)$ .

$\frac{3 (n + 1)}{n + 1}$

Step 2.3

Reduce the expression by cancelling the common factors.

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Step 2.3.1

Reduce the expression $\frac{3 (n + 1)}{n + 1}$ by cancelling the common factors.

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Step 2.3.1.1

Cancel the common factor.

$\frac{3 (n + 1)}{n + 1}$

Step 2.3.1.2

Rewrite the expression.

$\frac{3}{1}$

Step 2.3.2

Divide $3$ by $1$ .

$3$