Question

the model shows the part of \\(\frac{}{5}\\) that fits in \\(\frac{}{5}\\). find the quotient. \\(\frac{2}{5} \div \frac{3}{5} = \square\\)

Explanation:

Step1: Rewrite division as multiplication

$\frac{2}{5} \div \frac{3}{5} = \frac{2}{5} \times \frac{5}{3}$

Step2: Cancel common factors

$\frac{2}{\cancel{5}} \times \frac{\cancel{5}}{3} = \frac{2 \times 1}{1 \times 3}$

Step3: Calculate the product

$\frac{2 \times 1}{1 \times 3} = \frac{2}{3}$

Answer:

$\frac{2}{3}$