Question

what is the product in simplest form?
\\(\frac{3}{5} \times \frac{2}{3} = \square\\)
options: \\(\frac{5}{8}\\), \\(\frac{9}{10}\\), \\(\frac{2}{5}\\), \\(\frac{6}{15}\\)

Explanation:

Step1: Multiply numerators

Multiply the numerators: \(3 \times 2 = 6\)

Step2: Multiply denominators

Multiply the denominators: \(5 \times 3 = 15\)

Step3: Simplify the fraction

Simplify \(\frac{6}{15}\) by dividing numerator and denominator by their greatest common divisor, which is 3. So, \(\frac{6\div3}{15\div3}=\frac{2}{5}\)

Answer:

The third option (assuming the third option is \(\frac{2}{5}\))