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Decimal to Fraction Calculator

Math Calculators

Repeating decimals + continued fractions

Quick Answer

Decimal to Fraction Calculator: Repeating decimals + continued fractions. Decimal to Fraction Calculator uses standard math formulas to compute accurate results instantly.

Simplest fraction
3/8
Mixed: 3/8 · = 0.375 = 37.5000%
Fraction3/8
Mixed number3/8
Percentage37.50%

Calculation steps

  1. 10.375 has 3 decimal digit(s) → x = 375/1000
  2. 2Reduce by gcd(375, 1000) = 125 → 3/8

Common decimals

0.51/250%
0.251/425%
0.753/475%
0.21/520%
0.1251/812.5%
0.3753/837.5%
0.333…1/333.3%
0.666…2/366.7%
0.142857…1/714.3%
0.0909…1/119.09%
Every finite or repeating decimal is a rational number and can be written as an exact fraction. Irrational numbers like π can only be approximated — famous ones: 22/7 (error 0.04%) and 355/113 (error 0.000008%), found by continued fractions. The "repeating 9" fact: 0.(9) = 1 exactly.

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How to Use

  1. Enter values or expressions: type directly into the Decimal to Fraction Calculator — keyboard friendly.
  2. Instant results: everything computes live as you type, no button needed.
  3. Follow the steps: the result panel shows full working and formula substitution.
  4. Copy or recompute: one-click copy; change any input to recalculate instantly.

Key Points

  • Decimal to Fraction Calculator is a free online math tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: Repeating decimals + continued fractions.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Decimal to Fraction Calculator formula

Decimal to Fraction Calculator uses standard math formulas to compute accurate results instantly.

FAQ

How do I use the Decimal to Fraction Calculator?
Open the page and fill in the input fields — results update automatically. Repeating decimals + continued fractions.
Are the results accurate?
Yes. All calculations use standard mathematical formulas and are verified for accuracy.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required — just open and use.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. All calculations run locally in your browser. Nothing is uploaded or stored.

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Source & Updates

Standard mathematical formulas. All logic verified. Last updated: 2025-07

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. Decimal to Fraction Calculator[EB/OL]. https://www.yijiansuan.com/en/c/math/decimal-to-fraction

Results provided by this tool are for reference only and do not constitute professional advice.