Question

what is the next fraction in this sequence? simplify your answer.
\frac{1}{13}, \frac{2}{13}, \frac{3}{13}, \frac{4}{13},...

Explanation:

Step1: Identify sequence pattern

The sequence has a constant denominator 13, and numerators increase by 1: $\frac{1}{13}, \frac{2}{13}, \frac{3}{13}, \frac{4}{13}, ...$

Step2: Find next numerator

Previous numerator is 4, so next numerator = $4 + 1 = 5$

Step3: Form next fraction

Keep denominator 13, use new numerator.

Answer:

$\frac{5}{13}$