Anomalous Cancellation on 2-Digit Numbers/Example/16 over 64

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Theorem

The fraction $\dfrac {16} {64}$ exhibits the phenomenon of anomalous cancellation:

$\dfrac {16} {64} = \dfrac 1 4$

as can be seen by deleting the $6$ from both numerator and denominator.


This is part of a longer pattern:

$\dfrac 1 4 = \dfrac {16} {64} = \dfrac {166} {664} = \dfrac {1666} {6664} = \cdots$


Proof


Sources