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sophielebrato
sophielebrato sophielebrato
  • 11-03-2015
  • Mathematics
Answered

what is 0.03703703703 as a fraction

Verified Answer :

Anonymous Anonymous
  • 11-03-2015

\(n=0.\dot { 0 } 3\dot { 7 } \\ \\ 1000n=37.\dot { 0 } 3\dot { 7 } \\ \\ 1000n-n=37\)

\(\\ \\ 999n=37\\ \\ n=\frac { 37 }{ 999 } \\ \\ n=\frac { 37 }{ 37 } \cdot \frac { 1 }{ 27 } \\ \\ \therefore \quad n=\frac { 1 }{ 27 }\)

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konrad509
konrad509 konrad509
  • 11-03-2015

\(x=0.\overline{037}\\ 1000x=37.\overline{037}\\ 1000x-x=37.\overline{037}-0.\overline{037}\\ 999x=37\\ x=\dfrac{37}{999}=\dfrac{1}{27}\)

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