Reduce the fraction $\frac{2266}{515}$ to lowest terms by extracting and canceling out $103$.
$$\frac{\sqrt{3}}{3}-\frac{22}{5}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $3$ and $5$ is $15$. Multiply $\frac{\sqrt{3}}{3}$ times $\frac{5}{5}$. Multiply $\frac{22}{5}$ times $\frac{3}{3}$.
$$\frac{5\sqrt{3}}{15}-\frac{22\times 3}{15}$$
Since $\frac{5\sqrt{3}}{15}$ and $\frac{22\times 3}{15}$ have the same denominator, subtract them by subtracting their numerators.
