כיצד לחשב את Continued Fraction
learn.whatIsHeading
Continued fractions express numbers as nested fractions: x = a₀ + 1/(a₁ + 1/(a₂ + ...)); useful for rational approximations.
מדריך שלב אחר שלב
- 1Input decimal or fraction
- 2Generate continued fraction expansion
- 3Calculate convergents (increasingly accurate approximations)
Worked Examples
קלט
Pi ≈ 3.14159
תוצאה
CF = [3; 7, 15, 1, 292, ...], convergent 355/113 ≈ 3.14159 (extremely accurate)
Common Mistakes to Avoid
- ✕Terminating before accurate enough
- ✕Confusing with decimal fractions
Frequently Asked Questions
Why continued fractions?
Best rational approximations; pi convergents used in engineering.
מוכן לחשב? נסה את מחשבון Continued Fraction החינמי
נסה זאת בעצמך →