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If two fraction add up to 1, what is the relation between their denominators? Are their denominators equal?

If $\frac{a}{b}+\frac{c}{d}=1$, then, is what is the relation between $b$ and $d$?

I was working on a problem. To solve the problem i need to know the relation between the denominators of fractions which add up to 1. I have tried to find out a relation by using the given equation but i could not obtain any useful result. I have searched the internet but could not find any help.

MrAP
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  • $\frac 13 + \frac 46=1$. $\frac 13 + \frac{-2}{-3} = 1$. – Martin R Jul 08 '18 at 11:30
  • The "denominator" of a fraction is not well-defined, unless one assumes it's in lowest terms and positive denominator, or something else to make there always be a unique denominator. – coffeemath Jul 08 '18 at 11:55

1 Answers1

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Note that $$1-\frac ab=\frac{b-a}b $$

Hagen von Eitzen
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