Question

What is .454545... As a reduced fraction

Answer 1

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

Answer: 5/11