Write the Fraction in Simplest Form (1/30)÷(2/5)

$\frac{1}{30} \div \frac{2}{5}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{30} \cdot \frac{5}{2}$

Step 2

Cancel the common factor of $5$ .

Factor $5$ out of $30$ .

$\frac{1}{5 (6)} \cdot \frac{5}{2}$

Cancel the common factor.

$\frac{1}{5 \cdot 6} \cdot \frac{5}{2}$

Rewrite the expression.

$\frac{1}{6} \cdot \frac{1}{2}$

Step 3

Multiply $\frac{1}{6}$ by $\frac{1}{2}$ .

$\frac{1}{6 \cdot 2}$

Step 4

Multiply $6$ by $2$ .

$\frac{1}{12}$