Question

the number 2.52525252....can be written as a fraction when reduced to the lowest term the sum of the numerator and denominator is

Answer 1

let, x=2.525252.... .(1)
both side multiply by 100
then , 100x= 252.525252....
99x + x = 250 + 2.5252...
99x= 250 +x-x. ...by 1st
99x=250
x= 250\99
250 +99=349