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

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