Decimal ⇄ Fraction Converter
How to convert decimal to fraction and fractions to decimals instantly, with clear step-by-step math.
Conversion Result
Step-by-Step Solution
How to Convert Decimals to Fractions and Fractions to Decimals
This page is optimized for how to convert decimal to fraction and how to convert fractions to decimals. Use the converter above for instant answers with steps.
Whether you need 1/4 as a decimal, 1/3 as a decimal, or want to turn a decimal into a simplified fraction, this tool handles both directions.
The 3-Step Decimal to Fraction Method
Step 1 Divide by 1
Write the decimal number as a fraction over 1. For example, if your decimal is 0.75, write it as 0.75 / 1.
Step 2 Multiply by Powers of 10
Multiply both the top and bottom of the fraction by 10 for every digit to the right of the decimal point. Since 0.75 has two digits after the decimal point, multiply by 100.
Step 3 Simplify the Fraction
Find the Greatest Common Divisor (GCD) for both the top (numerator) and bottom (denominator). Divide both numbers by this GCD to get the simplest form.
(75 ÷ 25) / (100 ÷ 25) = 3 / 4
How to Convert Fractions to Decimals
- Take the numerator (top number).
- Divide by the denominator (bottom number).
- Round if needed for practical use.
Common Decimal to Fraction Conversions
| Decimal | Fraction | Percentage |
|---|---|---|
| 0.125 | 1/8 | 12.5% |
| 0.25 | 1/4 | 25% |
| 0.333... | 1/3 | 33.3% |
| 0.375 | 3/8 | 37.5% |
| 0.5 | 1/2 | 50% |
| 0.625 | 5/8 | 62.5% |
| 0.666... | 2/3 | 66.6% |
| 0.75 | 3/4 | 75% |
| 0.875 | 7/8 | 87.5% |
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