Simplify (6(r+2))/20*(4r)/(6(r+2))

$\frac{6 (r + 2)}{20} \cdot \frac{4 r}{6 (r + 2)}$

Step 1

Cancel the common factor of $6 (r + 2)$ .

Cancel the common factor.

$\frac{6 (r + 2)}{20} \cdot \frac{4 r}{6 (r + 2)}$

Rewrite the expression.

$\frac{1}{20} \cdot (4 r)$

Step 2

Cancel the common factor of $4$ .

Factor $4$ out of $20$ .

$\frac{1}{4 (5)} \cdot (4 r)$

Factor $4$ out of $4 r$ .

$\frac{1}{4 (5)} \cdot (4 (r))$

Cancel the common factor.

$\frac{1}{4 \cdot 5} \cdot (4 r)$

Rewrite the expression.

$\frac{1}{5} \cdot r$

Step 3

Combine $\frac{1}{5}$ and $r$ .

$\frac{r}{5}$