9514 1404 393
Answer:
(a) 422 / 495, rational
Step-by-step explanation:
The two-digit repeating decimal 0.2525... is equivalent to those two digits over an equal number of 9s: 25/99.
When 3/5 is added to that, the result is ...
25/99 +3/5 = (25(5) +99(3))/(99·5) = (125 +297)/495 = 422/495
The sum of two rational numbers is always rational.
