let m=0.148148148148........
and 1000m=148.148148148.........
1000m-m=148
999m=148
m=148/999 = 4/27
let n = 0.0000678678678....
and 1000n = 0.0678678678678...
1000n - n = 0.0678
999n = 0.0678
n = 0.0678/999
then 0.5678678678678...
= 0.5678 + n
= 1891/3330