Algebra Examples

$(\frac{13}{6}) (\frac{2 y + 4}{52 y})$

Step 1

Factor $2$ out of $2 y + 4$ .

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Step 1.1

Factor $2$ out of $2 y$ .

$\frac{13}{6} \cdot \frac{2 (y) + 4}{52 y}$

Step 1.2

Factor $2$ out of $4$ .

$\frac{13}{6} \cdot \frac{2 y + 2 \cdot 2}{52 y}$

Step 1.3

Factor $2$ out of $2 y + 2 \cdot 2$ .

$\frac{13}{6} \cdot \frac{2 (y + 2)}{52 y}$

$\frac{13}{6} \cdot \frac{2 (y + 2)}{52 y}$

Step 2

Cancel the common factor of $13$ .

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Step 2.1

Factor $13$ out of $52 y$ .

$\frac{13}{6} \cdot \frac{2 (y + 2)}{13 (4 y)}$

Step 2.2

Cancel the common factor.

$\frac{13}{6} \cdot \frac{2 (y + 2)}{13 (4 y)}$

Step 2.3

Rewrite the expression.

$\frac{1}{6} \cdot \frac{2 (y + 2)}{4 y}$

$\frac{1}{6} \cdot \frac{2 (y + 2)}{4 y}$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $6$ .

$\frac{1}{2 (3)} \cdot \frac{2 (y + 2)}{4 y}$

Step 3.2

Cancel the common factor.

$\frac{1}{2 \cdot 3} \cdot \frac{2 (y + 2)}{4 y}$

Step 3.3

Rewrite the expression.

$\frac{1}{3} \cdot \frac{y + 2}{4 y}$

$\frac{1}{3} \cdot \frac{y + 2}{4 y}$

Step 4

Multiply $\frac{1}{3}$ by $\frac{y + 2}{4 y}$ .

$\frac{y + 2}{3 (4 y)}$

Step 5

Multiply $4$ by $3$ .

$\frac{y + 2}{12 y}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$