Question

$\frac{5}{7} \times \frac{1}{3}$

Explanation:

Step1: Recall fraction multiplication rule

To multiply two fractions $\frac{a}{b}$ and $\frac{c}{d}$, we use the rule $\frac{a}{b} \times \frac{c}{d}=\frac{a\times c}{b\times d}$.

Step2: Apply the rule to given fractions

For $\frac{5}{7} \times \frac{1}{3}$, here $a = 5$, $b = 7$, $c = 1$, $d = 3$. So we calculate the numerator as $5\times1 = 5$ and the denominator as $7\times3 = 21$. Thus, $\frac{5}{7} \times \frac{1}{3}=\frac{5\times1}{7\times3}=\frac{5}{21}$.

Answer:

$\frac{5}{21}$