Add fractions with exponents in the numerator How does one add these two terms with exponents in the numerator like h^2+(h^2)/4 ? According to my lesson on Khan Academy, one should get h^2(1+1/4). However, intuitively, it would seem that one would get (4h^2)/(4)+(h^2)/4 having first taken a common denominator and then 5 (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.

kjukks1234531 2022-09-23 Answered
Add fractions with exponents in the numerator
How does one add these two terms with exponents in the numerator like h 2 + h 2 4 ?
According to my lesson on Khan Academy, one should get h 2 ( 1 + 1 4 )
However, intuitively, it would seem that one would get 4 h 2 4 + h 2 4 having first taken a common denominator and then 5 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.
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Answers (2)

efterynzl
Answered 2022-09-24 Author has 12 answers
note that
h 2 4 = 1 4 h 2
thus we have
4 4 h 2 + 1 4 h 2 = 5 4 h 2
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Logan Knox
Answered 2022-09-25 Author has 1 answers
Your answer and the Khan academy answer are the same.
Khan Academy:
h 2 ( 1 + 1 4 )
You:
5 h 2 4 = 5 4 h 2
But
1 + 1 4 = 4 4 + 1 4 = 5 4
So the Khan academy answer becomes
h 2 5 4 = 5 4 h 2
which is the same as yours.
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