Answers:
(i) Prime factorization of 69 and 92:
69 = 3 × 23
92 = 22 × 23
$\eqalign{
& \frac{{69}}{{92}} = \frac{{3 \times 23}}{{{2^2} \times 23}} \cr
& = > \frac{3}{{{2^2}}} \cr
& = > \frac{3}{4} \cr} $
(ii) Prime factorization of 473 and 645:
473 = 11 × 43
645 = 3 × 5 × 43
$$$\eqalign{
& \frac{{473}}{{645}} = \frac{{11 \times 43}}{{3 \times 5 \times 43}} \cr
& = > \frac{{11}}{{15}} \cr} $