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How Fraction to Decimal Conversion Works
Common Fraction to Decimal Conversion Chart
Standard unit fractions with decimal values, repeating cycles, and percentages.
| Fraction | Decimal | Percentage | Description | Action |
|---|---|---|---|---|
| 1/2 | 0.5 | 50% | Half | |
| 1/3 | 0.333333... | 33.33% | One Third (Repeating 0.3̄) | |
| 1/4 | 0.25 | 25% | Quarter | |
| 1/5 | 0.2 | 20% | One Fifth | |
| 1/6 | 0.166667... | 16.67% | One Sixth (Repeating 0.16̄) | |
| 1/7 | 0.142857... | 14.29% | One Seventh (6-digit cycle) | |
| 1/8 | 0.125 | 12.5% | One Eighth | |
| 3/8 | 0.375 | 37.5% | Three Eighths | |
| 5/8 | 0.625 | 62.5% | Five Eighths | |
| 7/8 | 0.875 | 87.5% | Seven Eighths | |
| 1/16 | 0.0625 | 6.25% | Sixteenth | |
| 1/32 | 0.03125 | 3.125% | Thirty-Second |
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Frequently Asked Questions
Everything you need to know about decimal conversions, accuracy, and formulas.
01How do you convert a fraction to a decimal?▼
To convert any fraction to a decimal, divide the numerator (top number) by the denominator (bottom number) using long division. For example, for 3/8: 3 ÷ 8 = 0.375. If the fraction is a mixed number (such as 2 3/4), first convert it to an improper fraction (11/4) or calculate 2 + (3 ÷ 4) = 2.75.
02What is a repeating decimal and how is it identified?▼
A repeating decimal (recurring decimal) is a decimal fraction whose digits repeat endlessly in periodic cycles (e.g. 1/3 = 0.3333... or 1/7 = 0.142857142857...). A fraction produces a terminating decimal only if its simplified denominator has prime factors of only 2 and/or 5. If any other prime factor exists (like 3, 7, 11), the decimal repeats infinitely.
03How do you turn a mixed number fraction into a decimal?▼
Keep the whole number as the integer portion before the decimal point, then divide the fractional numerator by its denominator. Add the two values together: for 5 1/8, calculate 5 + (1 ÷ 8) = 5 + 0.125 = 5.125.