Convert decimals to exact or approximate fractions with step-by-step solutions.
For terminating decimals: Count the decimal places, then write the number over the corresponding power of 10. For example, 0.75 = 75/100 = 3/4.
For repeating decimals: Use algebra. If x = 0.333..., then 10x = 3.333... Subtracting: 9x = 3, so x = 3/9 = 1/3.
For irrational numbers: Numbers like π (3.14159...) and √2 cannot be expressed as exact fractions. We provide the closest rational approximation.
Cross-checked against authoritative formulas (IRS, NIST, ACM) and updated for 2025/2026 tax years and rates.
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Each calculator includes the formula, plain-English explanation, and FAQs so you understand the result.
Estimates only. Calculator results are for educational and planning purposes — not professional advice. For binding decisions on taxes, investments, health, or legal matters, consult a qualified professional.
FAQ
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A decimal to fraction calculator is a free math tool that converts any decimal to a simplified fraction with step-by-step work. Our decimal to fraction calculator handles terminating and repeating decimals, and shows the gcd calculation. The decimal to fraction calculator is used in cooking, construction measurements, and math homework.
How it works
Our decimal to fraction calculator lets you convert any terminating or repeating decimal to an exact simplified fraction in three steps.
Type the decimal you want to convert. Both terminating (like 0.75) and repeating (like 0.3333) decimals are supported.
For repeating decimals, pick how many digits repeat. The default 3 handles most everyday cases.
The calculator shows the fraction in lowest terms, plus the decimal-to-fraction walkthrough that explains how the result was found.