Simplify ((x-6)/(2x+9))/(10/7)

$\frac{\frac{x - 6}{2 x + 9}}{\frac{10}{7}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{x - 6}{2 x + 9} \cdot \frac{7}{10}$

Multiply $\frac{x - 6}{2 x + 9}$ by $\frac{7}{10}$ .

$\frac{(x - 6) \cdot 7}{(2 x + 9) \cdot 10}$

Reorder.

Move $7$ to the left of $x - 6$ .

$\frac{7 \cdot (x - 6)}{(2 x + 9) \cdot 10}$

Move $10$ to the left of $2 x + 9$ .

$\frac{7 (x - 6)}{10 (2 x + 9)}$