Question

what is the next fraction in this sequence? simplify your answer.
\frac{18}{55}, \frac{17}{55}, \frac{16}{55}, \frac{3}{11}, ...

Explanation:

Step1: Standardize denominators

Rewrite $\frac{3}{11}$ to match 55 denominator:
$\frac{3}{11} = \frac{3 \times 5}{11 \times 5} = \frac{15}{55}$

Step2: Analyze numerator pattern

Sequence of numerators: $18, 17, 16, 15$; each term decreases by 1.
Next numerator: $15 - 1 = 14$

Step3: Form and simplify fraction

New fraction: $\frac{14}{55}$ (14 and 55 share no common factors >1)

Answer:

$\frac{14}{55}$