Write the Fraction in Simplest Form (2/3)÷(2/6)

$\frac{2}{3} \div \frac{2}{6}$

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{3} \cdot 6$

Step 3

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

$\frac{1}{3} \cdot (3 (2))$

Cancel the common factor.

$\frac{1}{3} \cdot (3 \cdot 2)$

Rewrite the expression.

$2$