小数⇔分数 変換ツール

最近接分数への変換

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Quick Answer

Convert decimals to fractions by multiplying by the desired denominator. 0.375 = 3/8 (multiply by 8, get 3). Common equivalents: 1/4 = 0.25, 1/3 = 0.333, 1/2 = 0.5, 3/4 = 0.75. Essential for drill sizes, machining, and Imperial measurements.

Documentation

小数 ↔ 分数 変換ツール

小数と分数を相互に変換します。測定値の整理や精密計算に便利です。

  • 0.5 = 1/2
  • 0.25 = 1/4
  • 0.125 = 1/8
  • 0.333... = 1/3

Design Notes

Fractional inches are standard in US manufacturing: drill bit sizes, wrench sizes, pipe fittings, and lumber dimensions all use fractions. PCB mounting holes typically use fractional inch drills (1/8 inch, 5/32 inch). The continued fraction algorithm finds the best rational approximation.

Common Mistakes

  • 1

    Confusing decimal inches with fractional inches — 0.125 inch = 1/8 inch, not approximately 1/8.

  • 2

    Using fractions for metric measurements — metric uses decimals (2.5 mm, not 2 1/2 mm).

  • 3

    Forgetting to reduce fractions to lowest terms after conversion.

Knowledge Base

なぜ小数でなく分数を使う?

製造業で必須:ドリルサイズ(1/16")、レンチサイズ(7/16")、配管接続(1/2")。

小数から分数への変換方法は?

目標分母で掛ける:0.375 × 8 = 3、つまり 0.375 = 3/8。

よく使う分数-小数の対応は?

1/4=0.250、1/3=0.333、1/2=0.500、3/4=0.750、7/8=0.875。

分数の約分方法は?

分子と分母を最大公約数で割る。12/16:GCD=4 → 3/4。

機械加工の分数精度は?

一般:1/64"(0.4mm)。CNC:0.001"(25.4µm)以上、通常は小数表記。