Question

Express 0.743535353535................in frational form

Answer 1

let x = 0.7435353535..........................
10000x = 7435.353535353535....................(1)
100x = 74.35353535..........................(2)
(1) - (2)
9900x = 7361
x = 7361/9900

Answer 2

By taking 0.743535353535...........=x 
10000x=7435.35353535...........----------------(i)
100x=74.35353535353.............-----------------(ii)
By subtracting (i) from (ii),we get
10000x-100x=7435-74
=>9900x=7361
=>x=7361/9900=0.743535354.