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Decimal to Fraction Calculator

⚡ Convert any decimal to a simplified fraction instantly! Handles regular decimals, repeating decimals, and shows step-by-step solutions.

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The Best Decimal to Fraction Converter

Convert any decimal number to a fraction in seconds! Our free calculator handles regular decimals like 0.75, repeating decimals like 0.333..., and even mixed numbers. Every conversion includes step-by-step solutions to help you understand the math. Used by millions of students for homework and exams.

Basic Decimal

0.25 = 25/100 = 1/4

Divide by power of 10, then simplify

Repeating Decimal

0.333... = 1/3

Use algebra to convert repeating decimals

Fraction to Decimal

3/4 = 3 ÷ 4 = 0.75

Divide numerator by denominator

Examples

0.75 to fraction

10.75 = 75/100
2GCD(75, 100) = 25
375÷25 / 100÷25 = 3/4

0.333... to fraction

1Let x = 0.333...
210x = 3.333...
310x - x = 3
49x = 3, x = 1/3

5/8 to decimal

15 ÷ 8 = 0.625

Frequently Asked Questions

How do I convert a decimal to a fraction?

Count the decimal places, put the number over the corresponding power of 10, then simplify. For example: 0.75 = 75/100. Simplify by dividing both by 25 to get 3/4.

How do I convert a repeating decimal to a fraction?

Use algebra: Let x = 0.333..., then 10x = 3.333.... Subtract to get 9x = 3, so x = 1/3. For longer repeating patterns, multiply by the appropriate power of 10.

What is 0.5 as a fraction?

0.5 = 5/10 = 1/2

What is 0.125 as a fraction?

0.125 = 125/1000 = 1/8

Is this calculator free?

Yes! 100% free with no signup required. Get instant step-by-step solutions.