Question

Express the decimal expression 0.473(bar on 73) as a rational numbers.

Answer 1

Ans is 469/990


Let x = 0.47373....

10 x = 4.7373..... Equation 1

1000x = 473.7373.... Equation 2

Equation 2- Equation 1

990 x = 469

x = 469/990


Hope this helps.