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Answer :
Final answer:
The next fraction in the sequence 2/3, 11/15, 4/5, 13/15 is 14/15.
Explanation:
The given sequence of fractions is: 2/3, 11/15, 4/5, 13/15. To find the next fraction, we can observe the pattern:
- 2/3 + 1/15 = 11/15
- 11/15 + 1/15 = 4/5
- 4/5 + 1/15 = 13/15
From the pattern, we can see that each fraction is obtained by adding 1/15 to the previous fraction. Therefore, the next fraction in the sequence will be:
13/15 + 1/15 = 14/15
The next fraction in the sequence is 14/15.
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