Question

what is the next fraction in this sequence? simplify your answer.
\frac{19}{20}, \frac{4}{5}, \frac{13}{20}, \frac{1}{2},...

Explanation:

Step1: Convert to common denominator

Rewrite all terms with denominator 20:
$\frac{19}{20}, \frac{16}{20}, \frac{13}{20}, \frac{10}{20}, ...$

Step2: Analyze numerator pattern

Numerators: 19, 16, 13, 10. Each term decreases by 3.
Next numerator: $10 - 3 = 7$

Step3: Form and simplify fraction

New fraction: $\frac{7}{20}$ (already in simplest form)

Answer:

$\frac{7}{20}$