Anomalous Cancellation/Example/3544 over 7531

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Theorem

The fraction $\dfrac {3544} {7531}$ exhibits the phenomenon of anomalous cancellation:

$\dfrac {3544} {7531} = \dfrac {344} {731}$

as can be seen by deleting the $5$ from both numerator and denominator.


This is part of a longer pattern:

$\dfrac {344} {731} = \dfrac {3544} {7531} = \dfrac {35544} {75531} = \cdots$


Proof


Sources