Algebra: A Combined Approach (4th Edition)

$\dfrac{\dfrac{3}{n}+\dfrac{5}{n^{2}}}{2}=\dfrac{3n+5}{2n^{2}}$
In order to find the average of $\dfrac{3}{n}$ and $\dfrac{5}{n^{2}}$, find the sum of these two rational expressions and divide it by two. This can be expressed as follows: $\dfrac{\dfrac{3}{n}+\dfrac{5}{n^{2}}}{2}$ Evaluate the sum indicated in the numerator: $\dfrac{\dfrac{3}{n}+\dfrac{5}{n^{2}}}{2}=\dfrac{\dfrac{3n+5}{n^{2}}}{2}=...$ Finally, evaluate the division and simplify: $\dfrac{3n+5}{n^{2}}\div2=\dfrac{3n+5}{2n^{2}}$