Let, a = 0.515115111511115...
And, b = 0.5353353335...
We observe that in the second decimal place a has digit 1 and b has digit 3, therefore,
a < b . So if we consider rational numbers
x = 0.52
y = 0.52052052...
We find that,
a < x < y < b
Hence x, and y are required rational numbers
