Unformatted text preview: (b) Use part (a) to obtain the continued fraction representations of √ 2, √ 3, √ 15 and √ 37. (4) Given the inﬁnite continued fraction [1; 3 , 1 , 5 , 1 , 7 , 1 , 9 ... ], ﬁnd the best rational approximation a/b with (a) denominator b < 25; (b) denominator b < 225. 1...
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 Fall '09
 Fractions, Rational number, Greatest common divisor, Euclidean algorithm, Continued fraction, simple continued fractions

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