Answer:
To simplify the expression \(\frac{1}{3x^2} + \frac{x}{15}\), find a common denominator, which is \(15x^2\). Then, combine the fractions:
\[ \frac{1}{3x^2} + \frac{x}{15} = \frac{5}{15x^2} + \frac{x}{15} \]
Now, combine the numerators over the common denominator:
\[ \frac{5 + 3x^2}{15x^2} \]
So, the simplified expression is \(\frac{5 + 3x^2}{15x^2}\).
