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29-01-2021
Mathematics

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Show that0.164164... is rational by writing it as a simplified fraction,
, where p and q are both whole numbers.

$Show that0164164 is rational by writing it as a simplified fraction where p and q are both whole numbers class=$

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LammettHash LammettHash

29-01-2021

If x = 0.164164164…, then 1000x = 164.164164164…. Subtracting these gives

1000x - x = 999x = 164

so that

x = 164/999

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