Anomalous Cancellation/Example/143 185 over 17 018 560

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Theorem

The fraction $\dfrac {143 \, 185} {17 \, 018 \, 560}$ exhibits the phenomenon of anomalous cancellation:

$\dfrac {143 \, 185} {17 \, 018 \, 560} = \dfrac {1435} {170 \, 560}$

as can be seen by deleting the $18$ from both numerator and denominator.


This is part of a longer pattern:

$\dfrac {1435} {170 \, 560} = \dfrac {143 \, 185} {17 \, 018 \, 560} = \dfrac {14 \, 318 \, 185} {1 \, 701 \, 818 \, 560} = \cdots$


Proof


Sources