What is the formal definition of fraction?
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2026-03-25 19:25:33.1774466733
Formal definition of fraction
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Yes, in abstract algebra the concept of localization provides a formal definition of a fraction. In short a fraction is an ordered pair $(a,b)$ (usually expressed $\frac{a}{b}$), along with the equivalence $(a,b) = (c,d)$ if $ad=bc$.