when the sum of some fractions be 1prove 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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when the sum of some fractions be   1prove 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

plodno8n · Accepted Answer

As stated, the claim offered for proof is not true. For example:      7    12    +      4    15    +      3    20    =  1An alternative, which avoids composite numerators:      1    12    +      13    15    +      1    20    =  1

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

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