Anomalous Cancellation on 2-Digit Numbers/Example/26 over 65

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Theorem

The fraction $\dfrac {26} {65}$ exhibits the phenomenon of anomalous cancellation:

$\dfrac {26} {65} = \dfrac 2 5$

as can be seen by deleting the $9$ from both numerator and denominator.


This is part of a longer pattern:

$\dfrac 2 5 = \dfrac {26} {65} = \dfrac {266} {665} = \dfrac {2666} {6665} = \cdots$


Proof


Sources