Simplify (y-6/x)/((6y)/x)

$\frac{y - \frac{6}{x}}{\frac{6 y}{x}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$(y - \frac{6}{x}) \frac{x}{6 y}$

Step 2

To write $y$ as a fraction with a common denominator, multiply by $\frac{x}{x}$ .

$(\frac{y x}{x} - \frac{6}{x}) \frac{x}{6 y}$

Step 3

Combine the numerators over the common denominator.

$\frac{y x - 6}{x} \cdot \frac{x}{6 y}$

Step 4

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{y x - 6}{x} \cdot \frac{x}{6 y}$

Rewrite the expression.

$(y x - 6) \frac{1}{6 y}$

Step 5

Multiply $y x - 6$ by $\frac{1}{6 y}$ .

$\frac{y x - 6}{6 y}$