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Decimal to Fraction

Convert decimals to fractions easily. Get simplified fractions from any decimal number.

Convert any decimal number to a fraction. For repeating decimals like 0.666... or 0.363636..., use the "Repeating digits" option to specify how many digits repeat.

Enter a decimal number

Repeating digits (for 0.666... enter 1):

Try:

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How to Use

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Enter a decimal number (e.g., 0.75, 3.14, -0.5)
Click "Convert" to see the fraction equivalent
The result shows the simplified fraction and mixed number (if applicable)

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What is Decimal to Fraction?

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Converting a decimal to a fraction involves expressing the decimal as a ratio of two integers. The process requires placing the decimal over a power of 10 and then simplifying to lowest terms. This is useful when you need exact values instead of approximate decimal representations.

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Formula

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Steps:

1. Write the decimal over 1 (e.g., 0.75/1)

2. Multiply numerator and denominator by 10 for each decimal place

3. Simplify by dividing by the GCD

Example: 0.75 → 75/100 → 3/4

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Examples

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0.5 = 1/2
0.25 = 1/4
0.75 = 3/4
0.125 = 1/8
1.5 = 3/2 or 1 1/2

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FAQ

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How do I convert a repeating decimal to a fraction?expand_more

For repeating decimals like 0.333..., set x = 0.333..., then 10x = 3.333... Subtract: 10x - x = 3, so 9x = 3, and x = 3/9 = 1/3.

What if the decimal has many digits?expand_more

The calculator handles decimals with many digits automatically. It will find the exact fraction and simplify it to lowest terms.

Can I convert negative decimals?expand_more

Yes! Negative decimals work the same way. The sign is preserved in the resulting fraction. For example, -0.5 = -1/2.