Write the Fraction in Simplest Form (2/3)÷30

$\frac{2}{3} \div 30$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{2}{3}}{30}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{2}{3} \cdot \frac{1}{30}$

Step 3

Cancel the common factor of $2$ .

Factor $2$ out of $30$ .

$\frac{2}{3} \cdot \frac{1}{2 (15)}$

Cancel the common factor.

$\frac{2}{3} \cdot \frac{1}{2 \cdot 15}$

Rewrite the expression.

$\frac{1}{3} \cdot \frac{1}{15}$

Step 4

Multiply $\frac{1}{3}$ by $\frac{1}{15}$ .

$\frac{1}{3 \cdot 15}$

Step 5

Multiply $3$ by $15$ .

$\frac{1}{45}$