Algebra Examples

$\frac{1}{3} x y + \frac{2}{3} y$

Step 1

Remove parentheses.

$\frac{1}{3} \cdot x y + \frac{2}{3} y$

Step 2

Factor $y$ out of $\frac{1}{3} \cdot x y + \frac{2}{3} y$ .

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Step 2.1

Factor $y$ out of $\frac{1}{3} \cdot x y$ .

$y (\frac{1}{3} \cdot x) + \frac{2}{3} y$

Step 2.2

Factor $y$ out of $\frac{2}{3} y$ .

$y (\frac{1}{3} \cdot x) + y \frac{2}{3}$

Step 2.3

Factor $y$ out of $y (\frac{1}{3} \cdot x) + y \frac{2}{3}$ .

$y (\frac{1}{3} \cdot x + \frac{2}{3})$

Step 3

Factor.

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Step 3.1

Factor $\frac{1}{3}$ out of each term.

$y (\frac{1}{3} (x + 2))$

Step 3.2

Remove unnecessary parentheses.

$y \frac{1}{3} (x + 2)$

Step 4

Combine $y$ and $\frac{1}{3}$ .

$\frac{y}{3} (x + 2)$