What can you say about the prime factorisations of the denominators of the following rationals:(i)43.123456789 (ii)43.¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯123456789 (iii)27.¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯142857 (iv)0.120120012000120000....
Decide whether 52.123456789 is a rational number or not. If rational (in the form pq), what can you say about the prime factors of q?