Question

Express the number as a ratio of integers. 3.469 = 3.469469469

Answer 1

If you're looking for a fractional representation of the non-terminating decimal,
3.469469469....
then:

Let x=3.469469469.....
then
1000x-x=(3469.469469469...) - (3.469469469....)
999x = 3466
x=3466 / 999
= 3+469/999
$=3\frac{469}{999}$