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  • 24-08-2015
  • Mathematics
Answered

What is .454545... As a reduced fraction

Verified Answer :

Anonymous Anonymous
  • 24-08-2015

\(n=0.\dot { 4 } \dot { 5 } \\ \\ 100n=45.\dot { 4 } \dot { 5 } \\ \\ 100n-n=45.\dot { 4 } \dot { 5 } -0.\dot { 4 } \dot { 5 } \\ \\ \therefore \quad 99n=45\\ \\ \therefore \quad n=\frac { 45 }{ 99 } =\frac { 5 }{ 11 }\)

Answer: 5/11

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