Question 1132162
<br>
(a) Yes.  If p/q is in lowest terms, then p and q have no common divisors.<br>
In that case, p^2/q^2 = (p*p)/(q*q) will also have no common divisors.<br>
(b) No, of course not.  It is easy to find counterexamples.<br>
5/7 is in lowest terms; (5+1)/(7+1) = 6/8 is not.