Simplify (1/(3x))/(5/(6y))

$\frac{\frac{1}{3 x}}{\frac{5}{6 y}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{3 x} \cdot \frac{6 y}{5}$

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $3 x$ .

$\frac{1}{3 (x)} \cdot \frac{6 y}{5}$

Factor $3$ out of $6 y$ .

$\frac{1}{3 (x)} \cdot \frac{3 (2 y)}{5}$

Cancel the common factor.

$\frac{1}{3 x} \cdot \frac{3 (2 y)}{5}$

Rewrite the expression.

$\frac{1}{x} \cdot \frac{2 y}{5}$

Step 3

Multiply $\frac{1}{x}$ by $\frac{2 y}{5}$ .

$\frac{2 y}{x \cdot 5}$

Step 4

Move $5$ to the left of $x$ .

$\frac{2 y}{5 x}$