Question

(\frac{5}{9} div \frac{1}{2})

Explanation:

Step1: Recall fraction division rule

To divide a fraction by another fraction, multiply the first fraction by the reciprocal of the second fraction. The reciprocal of $\frac{1}{2}$ is $\frac{2}{1}$.

Step2: Multiply the fractions

So, $\frac{5}{9} \div \frac{1}{2} = \frac{5}{9} \times \frac{2}{1}$. Multiply the numerators: $5\times2 = 10$, and multiply the denominators: $9\times1 = 9$. Thus, the result is $\frac{10}{9}$.

Answer:

$\frac{10}{9}$