Study the following situations on decimal expansions and answer the questions.
a. (i) Without performing the actual division, decide whether the decimal expansion of 87 terminates or is non-terminating recurring. Give reason.
b. (ii) Explain why the decimal expansion of 31 is non-terminating recurring.
c. (iii) Convert the non-terminating recurring decimal 0.037037037\dots into a fraction in lowest terms and state the set(s) of real numbers to which the fraction belongs.