Question

divide.
\frac{2}{5} \div \frac{2}{3} = \square
submit

Explanation:

Step1: Rewrite division as multiplication

Dividing by a fraction equals multiplying by its reciprocal:
$\frac{2}{5} \div \frac{2}{3} = \frac{2}{5} \times \frac{3}{2}$

Step2: Multiply numerators and denominators

Multiply the top terms and bottom terms separately:
$\frac{2 \times 3}{5 \times 2} = \frac{6}{10}$

Step3: Simplify the fraction

Cancel common factors (2) in numerator and denominator:
$\frac{6 \div 2}{10 \div 2} = \frac{3}{5}$

Answer:

$\frac{3}{5}$