Anomalous Cancellation on 2-Digit Numbers/Example/19 over 95

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Theorem

The fraction $\dfrac {19} {95}$ exhibits the phenomenon of anomalous cancellation:

$\dfrac {19} {95} = \dfrac 1 5$

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


This is part of a longer pattern:

$\dfrac 1 5 = \dfrac {19} {95} = \dfrac {199} {995} = \dfrac {1999} {9995} = \cdots$


Proof


Sources