Milü

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$\pi \approx 3.141\ 592\ 653\dots\,$
$\frac{355}{113} \approx 3.141\ 592\ 920\dots\,$

³⁵⁵⁄₁₁₃ is the best approximation of π that may be expressed with a three-digit or four-digit numerator and denominator: the successive best approximation of π is ¹⁰³⁹⁹³⁄₃₃₁₀₂.

The Chinese mathematician and astronomer Zu Chongzhi computed π to be between 3.1415926 and 3.1415927 and gave two approximations of π, ²²⁄₇ and ³⁵⁵⁄₁₁₃ in the 5th century.

The name Milü (Chinese: 密率; pinyin: mì lǜ; literally "detailed (approximation) ratio"), also known as Zulü (Zu's ratio), was given by Japanese mathematician Mikami Yoshio, but it is not clear whether it refers to the fraction or the decimal value 3.1415926 to 3.1415927.^[1]