Question

multiply.
\\(\frac{\frac{14}{3}}{\frac{3}{4}} = \frac{14}{3} div \frac{3}{4}\\)
\\(= \frac{14}{3} cdot \frac{4}{3}\\)
\\(= square\\)

Explanation:

Step1: Recall fraction multiplication rule

To multiply two fractions $\frac{a}{b}$ and $\frac{c}{d}$, we use the rule $\frac{a}{b}\cdot\frac{c}{d}=\frac{a\times c}{b\times d}$. Here, we have $\frac{14}{3}\cdot\frac{4}{3}$.

Step2: Multiply numerators and denominators

Multiply the numerators: $14\times4 = 56$. Multiply the denominators: $3\times3=9$. So $\frac{14}{3}\cdot\frac{4}{3}=\frac{14\times4}{3\times3}=\frac{56}{9}$.

Answer:

$\frac{56}{9}$