What is the answer to this math problem

Question

Express 9.684684684 as a rational number in the form of p/q where p and q have no common factors

Answer 1

two possible answers depending on how the problem was intended

if

y = 9.684684684

then

y = 9,684,684,684/1,000,000,000

divide numerator and denominator by 4

= 2,421,171,171/250,000,000

but it's possible/probable the problem was really

write 9.684684684.... where 684 repeats endlessly as a fraction with integer numerator & denominator

then

x = 9.684...

1000x = 9,684.684...

subtract 2nd to last equation from last equation

1000x - x = 9684-9

999x = 9675

x = 9675/999 = p/q

p = 9675

q = 999