# The following real numbers have decimal expansions as given below. In each case,

The following real numbers have decimal expansions as given below. In each case, decide whether they are rational or not. If they are rational and of the form $\frac { p }{ q }$, what can you say about the prime factors of q ?
(i) 43. 123456789
(ii) 0.120120012000120000…
(iii) 43. $\overline { 123456789 }$