1. The problem involves comparing two fractions: $\frac{2}{10}$ and $\frac{n}{30}$. We want to understand their relationship or solve for $n$ if they are equal. 2. The formula to compare or equate fractions is: $$\frac{a}{b} = \frac{c}{d} \implies ad = bc$$ This is called cross-multiplication. 3. Applying cross-multiplication to $\frac{2}{10} = \frac{n}{30}$: $$2 \times 30 = 10 \times n$$ 4. Simplify the multiplication: $$60 = 10n$$ 5. Solve for $n$ by dividing both sides by 10: $$n = \frac{60}{10} = 6$$ 6. Therefore, if the fractions are equal, $n = 6$. This means $\frac{2}{10}$ is equivalent to $\frac{6}{30}$. If the problem is about comparing or finding $n$ such that the fractions are equal, this is the solution.