Question

what is the next fraction in this sequence? simplify your answer.
\frac{11}{13}, \frac{9}{13}, \frac{7}{13}, \frac{5}{13}, ...

Explanation:

Step1: Analyze numerators

The numerators are 11, 9, 7, 5. The difference between consecutive numerators: \(9 - 11 = -2\), \(7 - 9 = -2\), \(5 - 7 = -2\). So the numerator decreases by 2 each time.

Step2: Find next numerator

Next numerator: \(5 - 2 = 3\). Denominator remains 13. So the next fraction is \(\frac{3}{13}\).

Answer:

\(\frac{3}{13}\)