Answer:
The next fraction in the sequence is:
Explanation:
How you can see, the fractions are decreasing as the sequence advance, to identify the proportion in which it decreases, we will divide the first and the second fractions:
Now, we just need to divide all the fractions in 3/2 to identify the next fraction, as I show below:
- 3/4 / 3/2 = 1/2
- 1/2 / 3/2 = 1/3
- 1/3 / 3/2 = 2/9
- 2/9 / 3/2 = 4/27
As you can see, all the results own to the sequence given, for this reason, the last result 4/27 is the correct fraction next to 2/9.