Decimal to Fraction Calculator

May 14, 2026 Decimal to Fraction Interactive Calculator
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Convert decimal values to simplified fractions and mixed numbers.

Inputs

Result

Example Inputs: 1.625

Example Output: 13/8 (or 1 5/8)

Live Result: Enter values and click Calculate.

Formula

Multiply by 10^n, reduce by GCD, then convert to mixed number if numerator > denominator.

Worked Example

Use the example inputs and outputs above to walk through the calculation step-by-step.

FAQ

What decimal formats are supported?
Standard decimals and scientific notation like 1e-3 are supported.

How is the fraction simplified?
The calculator reduces numerator and denominator using the greatest common divisor (GCD).

Do you show mixed numbers?
Yes. Improper fractions are also shown as mixed numbers where applicable.

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Formula Notes

This calculator focuses on terminating decimals and GCD-based simplification.

Worked Example

1.625 = 1625/1000, simplified by 125 to 13/8.

Results are estimates. Verify calculations against component datasheets before safety-critical use.