Simplify (13/6)((2y+4)/(52y))

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

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

Factor $2$ out of $2 y$ .

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

Factor $2$ out of $4$ .

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

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

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

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

Cancel the common factor of $13$ .

Factor $13$ out of $52 y$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

Multiply $4$ by $3$ .

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

Related Questions