Question

(\frac{3}{5} \times \frac{5}{8} =)

Explanation:

Step1: Multiply numerators and denominators

To multiply two fractions $\frac{a}{b}$ and $\frac{c}{d}$, we use the formula $\frac{a}{b} \times \frac{c}{d}=\frac{a\times c}{b\times d}$. For $\frac{3}{5} \times \frac{5}{8}$, we multiply the numerators $3$ and $5$ and the denominators $5$ and $8$. So we get $\frac{3\times5}{5\times8}=\frac{15}{40}$.

Step2: Simplify the fraction

We can simplify $\frac{15}{40}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $5$. So $\frac{15\div5}{40\div5}=\frac{3}{8}$.

Answer:

$\frac{3}{8}$