Simplify (9(r+4))/(r+4)*(9r)/(9(r-5))

$\frac{9 (r + 4)}{r + 4} \cdot \frac{9 r}{9 (r - 5)}$

Step 1

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 (r + 4)}{r + 4} \cdot \frac{9 r}{9 (r - 5)}$

Rewrite the expression.

$\frac{r + 4}{r + 4} \cdot \frac{9 r}{r - 5}$

Step 2

Multiply $\frac{r + 4}{r + 4}$ by $\frac{9 r}{r - 5}$ .

$\frac{(r + 4) (9 r)}{(r + 4) (r - 5)}$

Step 3

Cancel the common factor of $r + 4$ .

Cancel the common factor.

$\frac{(r + 4) (9 r)}{(r + 4) (r - 5)}$

Rewrite the expression.

$\frac{9 r}{r - 5}$