Simplify (2/a)/(6/b)

$\frac{\frac{2}{a}}{\frac{6}{b}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{2}{a} \cdot \frac{b}{6}$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

$\frac{2}{a} \cdot \frac{b}{2 (3)}$

Cancel the common factor.

$\frac{2}{a} \cdot \frac{b}{2 \cdot 3}$

Rewrite the expression.

$\frac{1}{a} \cdot \frac{b}{3}$

Step 3

Multiply $\frac{1}{a}$ by $\frac{b}{3}$ .

$\frac{b}{a \cdot 3}$

Step 4

Move $3$ to the left of $a$ .

$\frac{b}{3 a}$