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  2. Repeating decimal - Wikipedia

    en.wikipedia.org/wiki/Repeating_decimal

    In order to convert a rational number represented as a fraction into decimal form, one may use long division. For example, consider the rational number ⁠ 5 / 74 ⁠: 0.0 675 74 ) 5.00000 4.44 560 518 420 370 500 etc. Observe that at each step we have a remainder; the successive remainders displayed above are 56, 42, 50.

  3. Approximations of π - Wikipedia

    en.wikipedia.org/wiki/Approximations_of_π

    The latter fraction is the best possible rational approximation of π using fewer than five decimal digits in the numerator and denominator. Zu Chongzhi's results surpass the accuracy reached in Hellenistic mathematics, and would remain without improvement for close to a millennium.