½ 百分比转分数计算器（精确）Percent to Fraction Calculator (exact)

使用说明与常见问题How-to & FAQ

「百分比转分数计算器（精确）」是什么？What is the Percent to Fraction Calculator (exact) tool?

把百分比按输入的小数原样精确化为最简分数（BigInt 运算，0.0001% → 1/1000000），同时给出带分数、小数和“最接近的简单分数”。本地处理。Convert a percent to a fraction in lowest terms exactly as typed (BigInt arithmetic, 0.0001% → 1/1000000), with the mixed number, decimal and the closest simple fraction. Processed locally.

如何使用「百分比转分数」？How do I use the Percent to Fraction Calculator (exact) tool?

填写百分比，即可得到约分后的分数。结果会随输入实时更新。Enter a percentage to get it as a simplified fraction. The result updates as you type.

怎么换算？How is it converted?

百分比 ÷ 100 就是分数：12.5% = 12.5/100 = 125/1000 = 1/8。本页把你输入的小数原样当作精确值（不经过浮点数），用大整数约分，所以 0.0001% 一定得到 1/1000000。A percent divided by 100 is the fraction: 12.5% = 12.5/100 = 125/1000 = 1/8. The decimal you type is taken exactly as written (no floating-point rounding) and reduced with big integers, so 0.0001% always gives 1/1000000.

“最接近的简单分数”是什么？What is the closest simple fraction?

当最简分数的分母很大时，用连分数找出分母不超过设定值的最佳近似，例如 33.333% ≈ 1/3。这是近似值，会注明相差多少个百分点。When the exact fraction has a large denominator, continued fractions find the best approximation with a denominator up to the limit you set — e.g. 33.333% ≈ 1/3. It is an approximation, and the page says how far off it is.

能举个计算实例吗？Can you show a worked example?

例如在「百分比转分数计算器（精确）」中填 百分比（%） = 50，“简单分数”的最大分母 = 100，结果区显示：最简分数：1/2；小数：0.5For example, entering Percent (%) = 50, Max denominator for the simple fraction = 100 in the Percent to Fraction Calculator (exact) gives: Fraction (lowest terms): 1/2; Decimal: 0.5

哪些输入会被检查？Which inputs are validated?

「百分比转分数计算器（精确）」会检查这些输入——「“简单分数”的最大分母」：可留空；绝对值超过 10¹⁵ 的数也会被拒绝。不符合时结果区显示具体提示，不会给出数字。The Percent to Fraction Calculator (exact) checks its inputs — "Max denominator for the simple fraction": optional; numbers above 10¹⁵ in absolute value are rejected too. When a value fails, the result area names the problem instead of showing a number.

有哪些选项可以调整？What options can I adjust?

「百分比转分数计算器（精确）」的设置：「百分比（%）」默认 12.5；「“简单分数”的最大分母」默认 100。每次生成结果都按当前设置处理。Settings in the Percent to Fraction Calculator (exact) — "Percent (%)" default 12.5; "Max denominator for the simple fraction" default 100. The result always uses the current settings.

「百分比转分数计算器（精确）」免费吗？需要注册吗？Is the Percent to Fraction Calculator (exact) free? Do I need an account?

「百分比转分数计算器（精确）」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Percent to Fraction Calculator (exact) is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.