Decimal to Fraction Converter Online

Decimal to Fraction Converter

Convert any decimal number into its simplest fraction form quickly and accurately. Perfect for homework or quick checks!

Decimal Number

Enter the decimal you want to convert (e.g., 0.75, 1.25, 0.333)

How it works

Convert any decimal number into its simplest fraction form quickly and accurately. Perfect for homework or quick checks!

The Formula

To convert a decimal to a fraction:
1. Write the decimal as a fraction over 1 (e.g., 0.75 = 0.75/1). 2. Multiply both the numerator and denominator by a power of 10 (10, 100, 1000, etc.) until the numerator is a whole number. 3. Simplify the resulting fraction to its lowest terms by dividing both by their greatest common divisor (GCD).

Worked Example

Convert 0.625 to a fraction
To convert 0.625: 1. Write as 0.625/1. 2. Multiply by 1000 to remove the decimal: (0.625 * 1000) / (1 * 1000) = 625/1000. 3. Find the GCD of 625 and 1000, which is 125. 4. Divide both by 125: 625 ÷ 125 = 5, and 1000 ÷ 125 = 8. So, 0.625 as a fraction is 5/8.

Tips, Assumptions & Limitations

For repeating decimals, use a slightly different method: set the decimal equal to 'x', multiply by a power of 10 to shift the repeating part, subtract the original equation, and solve for 'x'.
Always simplify your fraction to its lowest terms for the most accurate answer.
This tool is great for checking your work on homework assignments involving decimal-to-fraction conversions.

FAQ

Write the decimal as a fraction with a denominator of 1. Then, multiply both the numerator and denominator by a power of 10 (10, 100, 1000, etc.) until the numerator is a whole number. Finally, simplify the fraction by dividing both parts by their greatest common divisor (GCD).

This calculator is designed for finite decimals. Converting repeating decimals to fractions requires a slightly different algebraic method, which involves setting the decimal equal to 'x' and solving an equation. For example, 0.333. is 1/3.

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1. This makes the fraction easier to understand and work with, and it's generally considered the correct way to express a fractional answer in mathematics.