Final answer:
The next fraction in the sequence is 5/18.
Step-by-step explanation:
To find the next fraction in the sequence, we need to identify a pattern. Looking at the numerators, we can see that they increase by 1 each time: 11, 12, 13, 14. Looking at the denominators, we can see that they increase by 9 each time: 18, 27, 36, 45. So, the next numerator should be 15 and the next denominator should be 54 (45 + 9). Therefore, the next fraction in the sequence is 15/54, which can be simplified to 5/18.