Reduce the fraction $\frac{8}{30}$ to lowest terms by extracting and canceling out $2$.
$$\frac{4}{15}+\frac{200}{x}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $15$ and $x$ is $15x$. Multiply $\frac{4}{15}$ times $\frac{x}{x}$. Multiply $\frac{200}{x}$ times $\frac{15}{15}$.
$$\frac{4x}{15x}+\frac{200\times 15}{15x}$$
Since $\frac{4x}{15x}$ and $\frac{200\times 15}{15x}$ have the same denominator, add them by adding their numerators.
