Add fractions with exponents in the numerator

How does one add these two terms with exponents in the numerator like ${h}^{2}+\frac{{h}^{2}}{4}$?

According to my lesson on Khan Academy, one should get ${h}^{2}(1+\frac{1}{4})$

However, intuitively, it would seem that one would get $\frac{4{h}^{2}}{4}+\frac{{h}^{2}}{4}$ having first taken a common denominator and then $5\frac{{h}^{2}}{4}$

After having searched for clarification, none of the search results really helped me to derive the answer. Hopefully this will not add, as such, a redundant post. Please clarify.

How does one add these two terms with exponents in the numerator like ${h}^{2}+\frac{{h}^{2}}{4}$?

According to my lesson on Khan Academy, one should get ${h}^{2}(1+\frac{1}{4})$

However, intuitively, it would seem that one would get $\frac{4{h}^{2}}{4}+\frac{{h}^{2}}{4}$ having first taken a common denominator and then $5\frac{{h}^{2}}{4}$

After having searched for clarification, none of the search results really helped me to derive the answer. Hopefully this will not add, as such, a redundant post. Please clarify.