when the sum of some fractions be 1 prove if we want that the sum of some fractions be 1

Bailee Short 2022-06-24 Answered
when the sum of some fractions be 1
prove if we want that the sum of some fractions be 1 and the denominators of one of them is d then another denominators should divisible by d or d should be divisible to another denominators.
It seems to be easy I tried to prove it.I first tried some cases.
1 = 1 2 + 1 3 + 1 6
Here we can see that 6 is divisible by 3. Also here 6 is divisible by 2 .But I want to prove one of the denominators but here two of them is possible.After trying a lot I cannot found any proofs.Any hints?
update1: the numerator should be prime
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Answers (1)

plodno8n
Answered 2022-06-25 Author has 17 answers
As stated, the claim offered for proof is not true. For example:
7 12 + 4 15 + 3 20 = 1
An alternative, which avoids composite numerators:
1 12 + 13 15 + 1 20 = 1

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