Simplify (8(m+1))/(7m)*9/(8(m+1))

$\frac{8 (m + 1)}{7 m} \cdot \frac{9}{8 (m + 1)}$

Cancel the common factor of $8 (m + 1)$ .

Cancel the common factor.

$\frac{8 (m + 1)}{7 m} \cdot \frac{9}{8 (m + 1)}$

Rewrite the expression.

$\frac{1}{7 m} \cdot 9$

Combine $\frac{1}{7 m}$ and $9$ .

$\frac{9}{7 m}$