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Math
Advanced Topics
Advanced Number Theory
Rational or Diophantine Approximation
Continued Fractions for R (Reals)
Finding Continued Fraction Expansion for Rationals
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Explanations
1
Previously, we defined what a continued fraction for a rational is. Right! We find the largest integer from whatever is remaining, and then reduce it to a similar problem, excep…
By Jason Chen
Problems
2
What is the continued fraction expansion for 2313\frac{23}{13}1323?
What is the continued fraction expansion for 4722\frac{47}{22}2247?
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