Decimal to Fraction Calculator

Last updated: Math Calculators

Decimal to Fraction Calculator
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About This Calculator

This calculator converts any decimal number—including terminating or negative decimals—into an exact or approximate fraction. The result is automatically simplified and displayed as both an improper and mixed fraction.

Whether you're working with a simple decimal like 0.75 or a negative value like -2.5, this tool will help you turn it into a clean, readable fraction.

How It Works

  1. Enter a decimal number like 0.125 or -3.75.
  2. The calculator multiplies the decimal by a power of 10 to eliminate the decimal point.
  3. It then simplifies the resulting fraction using the greatest common divisor (GCD).
  4. The final output is displayed in simplified fraction form and (if applicable) as a mixed number.

Frequently Asked Questions

How do I convert a decimal to a fraction?

Multiply the decimal by 10ⁿ to make it a whole number, then simplify. For example,0.25 × 100 = 25 → 25/100 = 1/4.

Does this work with negative decimals?

Yes. For example,-1.125 = -9/8 = -1 1/8

Are all decimals convertible to exact fractions?

No. Some decimals are irrational and cannot be expressed exactly as a fraction, but most decimals from practical use can be converted precisely or approximately.

Does the result include mixed numbers?

Yes. For improper fractions, the tool will also show a mixed number format like 2 1/2.