Basic Math Examples

$\frac{6}{3} + \frac{k - 3}{k + 3}$

Step 1

Divide $6$ by $3$ .

$2 + \frac{k - 3}{k + 3}$

Step 2

To write $2$ as a fraction with a common denominator, multiply by $\frac{k + 3}{k + 3}$ .

$\frac{2 (k + 3)}{k + 3} + \frac{k - 3}{k + 3}$

Step 3

Combine the numerators over the common denominator.

$\frac{2 (k + 3) + k - 3}{k + 3}$

Step 4

Simplify the numerator.

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Step 4.1

Apply the distributive property.

$\frac{2 k + 2 \cdot 3 + k - 3}{k + 3}$

Step 4.2

Multiply $2$ by $3$ .

$\frac{2 k + 6 + k - 3}{k + 3}$

Step 4.3

Add $2 k$ and $k$ .

$\frac{3 k + 6 - 3}{k + 3}$

Step 4.4

Subtract $3$ from $6$ .

$\frac{3 k + 3}{k + 3}$

Step 4.5

Factor $3$ out of $3 k + 3$ .

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Step 4.5.1

Factor $3$ out of $3 k$ .

$\frac{3 (k) + 3}{k + 3}$

Step 4.5.2

Factor $3$ out of $3$ .

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

Step 4.5.3

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

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