High School

What is the next fraction in the sequence: \(\frac{2}{3}, \frac{11}{15}, \frac{4}{5}, \frac{13}{15}\)? Simplify your answer.

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.