免费小数转分数转换器

将小数即时转换为最简分数,自动使用最大公约数化简。

Approximate Numerator

3

Approximate Denominator8
Verification (decimal)0.37500000

公式

## Decimal to Fraction Converter ### Method 1. Multiply the decimal by the max denominator 2. Round to the nearest integer to get the numerator 3. Use the GCD (Greatest Common Divisor) to simplify 4. Divide both numerator and denominator by the GCD Example: 0.375 with max denominator 1000 → 375/1000 → GCD(375,1000) = 125 → 3/8

计算示例

Convert 0.375 to a fraction.

  1. 010.375 × 1000 = 375 (numerator before simplification)
  2. 02GCD(375, 1000) = 125
  3. 03Numerator = 375 / 125 = 3
  4. 04Denominator = 1000 / 125 = 8
  5. 05Result: 3/8

常见问题

How does this converter work?

It multiplies the decimal by the max denominator, rounds to get an integer numerator, then simplifies the fraction using the Greatest Common Divisor (GCD).

What should I set the max denominator to?

A higher max denominator gives a more precise fraction. Use 1000 for most cases. For repeating decimals like 0.333..., try 3 or 9 as the max denominator.

学习

Metric vs Imperial: A Complete Guide to the Two Measurement Systems

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