Question

What is 0.03703703703 as a fraction

Answer 1

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

Answer 2

`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 }`