Evaluate 4/(2/3)

$\frac{4}{\frac{2}{3}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$4 (\frac{3}{2})$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

$2 \cdot 3$

Step 3

Multiply $2$ by $3$ .

$6$