TL;DR(too long didn't read): answer is 3/4
This question may look confusing, however, it is more easily understood once you see that the fractions appear to be changing more randomly than they are in a way you can recognize, however, they're not. Since they look like that it's because they're being multiplied by a fraction. Split the fractions into two to make it easier. 3/2 and 9/8, just look at them as '3' and '2' and '9' and '8'. 3 becomes 9. Which means either 6 was added or 3 was multiplied by 3. Compare to the next row, 27. 9-->27 can't be 6, so it's being multiplied by 3. Now for the bottom. 2 becomes 8, and knowing that the numerator of the fraction is being multiplied, so is the denominator then, so 2-->8 is 2 times 4. Put the numerator and denominator back together and you have 3/4. The answer is 3/4.