learn.howToCalculate
learn.whatIsHeading
Continued fractions express numbers as nested fractions: x = a₀ + 1/(a₁ + 1/(a₂ + ...)); useful for rational approximations.
Пошаговое руководство
- 1Input decimal or fraction
- 2Generate continued fraction expansion
- 3Calculate convergents (increasingly accurate approximations)
Решённые примеры
Ввод
Pi ≈ 3.14159
Результат
CF = [3; 7, 15, 1, 292, ...], convergent 355/113 ≈ 3.14159 (extremely accurate)
Распространённые ошибки
- ✕Terminating before accurate enough
- ✕Confusing with decimal fractions
Часто задаваемые вопросы
Why continued fractions?
Best rational approximations; pi convergents used in engineering.
Готовы посчитать? Попробуйте бесплатный калькулятор Continued Fraction
Попробуйте сами →