Question

rewrite the division as multiplication.
\\(\frac{\frac{7}{2}}{\frac{1}{3}} = \frac{7}{2} \div \frac{1}{3}\\)
\\(= \frac{7}{2} \cdot \\)?

Explanation:

Step1: Recall the rule for dividing by a fraction

To divide by a fraction, we multiply by its reciprocal. The reciprocal of a fraction $\frac{a}{b}$ is $\frac{b}{a}$.

Step2: Find the reciprocal of $\frac{1}{3}$

The reciprocal of $\frac{1}{3}$ is $\frac{3}{1} = 3$. So, when we rewrite $\frac{7}{2} \div \frac{1}{3}$ as multiplication, we multiply $\frac{7}{2}$ by the reciprocal of $\frac{1}{3}$, which is $3$ (or $\frac{3}{1}$).

Answer:

$\frac{3}{1}$ (or $3$)