Express $1\times \frac{q}{5}$ as a single fraction.
$$\frac{q}{5}-\frac{1}{3}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $5$ and $3$ is $15$. Multiply $\frac{q}{5}$ times $\frac{3}{3}$. Multiply $\frac{1}{3}$ times $\frac{5}{5}$.
$$\frac{3q}{15}-\frac{5}{15}$$
Since $\frac{3q}{15}$ and $\frac{5}{15}$ have the same denominator, subtract them by subtracting their numerators.
