Question

If the recurring decimal 0.84181 be written as a fraction in its lowest terms,the difference between the denominator and numerator is?

Answer 1

First we need to find the fraction which will give the recurring decimal 0.84181.
Assuming that all the digits are recurring
let x = 0.8418184181....
100000x = 84181.8418184181...
100000x - x = 84181.8418184181... - 0.8418184181....

99999x = 84181
so x = 84181/99999
thus required fraction is 84181/99999
Denominator - Numerator  = 15818