1. The problem is to understand how the expression $\frac{q3}{2}$ came about. 2. This looks like a fraction where the numerator is $q3$ and the denominator is $2$. 3. If $q3$ represents a variable $q$ multiplied by $3$, then the expression is $\frac{3q}{2}$. 4. This can happen if you start with an expression like $\frac{3q}{2}$ or if you multiply $q$ by $3$ and then divide by $2$. 5. For example, if you have $q \times 3 = 3q$, then dividing by $2$ gives $\frac{3q}{2}$. 6. So, $\frac{q3}{2}$ is just a way of writing $\frac{3q}{2}$, which means three times $q$ divided by two. 7. This is a common algebraic expression representing a scaled variable. 8. To summarize, $\frac{q3}{2}$ means $\frac{3q}{2}$, which is three times $q$ divided by two.