Divide (10/(3x))/(5/(6x))

$\frac{\frac{10}{3 x}}{\frac{5}{6 x}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{10}{3 x} \cdot \frac{6 x}{5}$

Step 2

Cancel the common factor of $5$ .

Factor $5$ out of $10$ .

$\frac{5 (2)}{3 x} \cdot \frac{6 x}{5}$

Cancel the common factor.

$\frac{5 \cdot 2}{3 x} \cdot \frac{6 x}{5}$

Rewrite the expression.

$\frac{2}{3 x} (6 x)$

Step 3

Cancel the common factor of $3 x$ .

Factor $3 x$ out of $6 x$ .

$\frac{2}{3 x} (3 x (2))$

Cancel the common factor.

$\frac{2}{3 x} (3 x \cdot 2)$

Rewrite the expression.

$2 \cdot 2$

Step 4

Multiply $2$ by $2$ .

$4$