Question 12
Let $\alpha$ and $\beta$ be positive integers such that
$$
\frac{43}{197}\lt \frac{\alpha}{\beta}\lt \frac{17}{77}
$$
Find the minimum possible value of $\beta$.
$$
\frac{43}{197}\lt \frac{\alpha}{\beta}\lt \frac{17}{77}
$$
Find the minimum possible value of $\beta$.