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akiraguinnie akiraguinnie
  • 31-12-2016
  • Mathematics
Answered

What is 0.01666666666 as a fraction?

Verified Answer :

arthurpdc
arthurpdc arthurpdc
  • 31-12-2016

If \(x=0.01666...\):

\(x=0.01666...\iff 100x=1.666...~\text{and}~1000x=16.666...\)

Hence:

\(1000x-100x=16.666...-1.666...\\\\ 900x=15\\\\ x=\dfrac{15}{900}\iff\boxed{x=\dfrac{1}{60}}\)

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