It is non – terminating and recurring, hence it is a rational number.
Also, we can check by the following method :
Multiplying both sides by 1000000, we get
Subtracting (i) from (ii), we get
We can see that x can be represented in the form pq where p and q are both integers and q≠0.
Hence, x= 0.318564318564318564... is a rational number.