Decimal to Fraction

Convert decimal numbers to simplified fractions. See the exact fractional representation.

½ Decimal to Fraction

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Fraction

⚙️ Step-by-Step Breakdown

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What Is Decimal to Fraction

Decimal to fraction conversion expresses a decimal number as a ratio of two integers (numerator/denominator) in its simplest form.

This is fundamental in mathematics, cooking, engineering, and any field where exact ratios are preferred over approximate decimals.

🔄 Interactive Fraction Explorer

How to Convert Decimal to Fraction

Write the decimal as a fraction with a power of 10 as the denominator based on decimal places, then simplify by dividing both numerator and denominator by their GCD.

For example, 0.75 = 75/100, GCD(75,100) = 25, so 75÷25/100÷25 = 3/4.

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Frequently Asked Questions

Count decimal places, write over the corresponding power of 10, then simplify using the GCD.
0.333... (repeating) = 1/3. Non-terminating repeating decimals have exact fraction equivalents.
All terminating and repeating decimals can. Irrational numbers like π cannot be expressed as exact fractions.
Greatest Common Divisor — the largest number that divides both numerator and denominator evenly.
Convert 0.5 to 1/2, then combine with the whole number: 2½ or 5/2 as an improper fraction.

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Base 10 → Base 8

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Base 8 → Base 16

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Base 8 → Base 2

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Base 16 → Base 2

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Base 2 → Base 16

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