Charts & references · 3 min read
Fraction to Decimal Chart: 25 Common Fractions
The chart
Each row shows the fraction, its decimal and its percentage. Repeating decimals are shown to six places followed by “…”.
| Fraction | Decimal | Percent | Type |
|---|---|---|---|
| 1/2 | 0.5 | 50% | terminates |
| 1/3 | 0.333333… | 33.33% | repeats |
| 2/3 | 0.666667… | 66.67% | repeats |
| 1/4 | 0.25 | 25% | terminates |
| 3/4 | 0.75 | 75% | terminates |
| 1/5 | 0.2 | 20% | terminates |
| 2/5 | 0.4 | 40% | terminates |
| 3/5 | 0.6 | 60% | terminates |
| 4/5 | 0.8 | 80% | terminates |
| 1/6 | 0.166667… | 16.67% | repeats |
| 5/6 | 0.833333… | 83.33% | repeats |
| 1/7 | 0.142857… | 14.29% | repeats |
| 1/8 | 0.125 | 12.5% | terminates |
| 3/8 | 0.375 | 37.5% | terminates |
| 5/8 | 0.625 | 62.5% | terminates |
| 7/8 | 0.875 | 87.5% | terminates |
| 1/9 | 0.111111… | 11.11% | repeats |
| 1/10 | 0.1 | 10% | terminates |
| 3/10 | 0.3 | 30% | terminates |
| 1/11 | 0.090909… | 9.09% | repeats |
| 1/12 | 0.083333… | 8.33% | repeats |
| 5/12 | 0.416667… | 41.67% | repeats |
| 1/16 | 0.0625 | 6.25% | terminates |
| 1/20 | 0.05 | 5% | terminates |
| 1/25 | 0.04 | 4% | terminates |
How to convert any fraction
Divide the numerator by the denominator. For 5/8 that is 5 ÷ 8 = 0.625. The fraction calculator also shows the decimal and percent for any answer.
5/8 as a decimal and percent
- Decimal: 0.625
Step-by-step working 6 steps
- 1Write the problem
5/8 + 0
Both numbers are already fractions.
- 2Find a common denominator
LCM(8, 1) = 8
The least common multiple of 8 and 1 is 8, so use 8 as the denominator.
- 3Rewrite both fractions
5×1/8×1 + 0×8/1×8 = 5/8 + 0/8
Multiply top and bottom of each fraction so the denominators match.
- 4Add the numerators
5 + 0 = 5 → 5/8
Keep the denominator unchanged.
- 5Simplify
5 and 8 share no common factor other than 1, so the fraction is already in lowest terms.
- 6Decimal and percent
5/8 ≈ 0.625 = 62.5%
Spotting repeating decimals
Reduce the fraction first. If the denominator has no prime factors other than 2 and 5, the decimal stops. Any other prime factor (3, 7, 11 …) makes it repeat. That is why 1/8 and 1/20 stop but 1/3 and 1/7 do not.
- 1/3 = 0.333… (the 3 repeats)
- 1/7 = 0.142857… (a six-digit block repeats)
- 1/6 = 0.1666… (only the 6 repeats)
Going the other way
To convert a decimal to a fraction, write it over a power of ten and simplify — see how to convert a decimal to a fraction.
Frequently asked questions
What is 1/3 as a decimal?
It is 0.333…, with the 3 repeating forever. As a percent it is 33.33…%.
Why do some fractions repeat?
Because the denominator contains a prime factor other than 2 or 5, which cannot divide a power of ten evenly.
Keep reading
Percent to Fraction Chart: 5% to 200% in Lowest Terms
Convert common percentages to fractions and decimals instantly with this chart, plus the three-step method for any percent.
How-to guidesHow to Convert a Fraction to a Percent (With Examples)
Convert any fraction to a percent in two steps: divide, then multiply by 100. Worked examples for 3/8, 7/20 and 5/6, plus mixed numbers.
How-to guidesHow to Convert a Decimal to a Fraction (Including Repeating)
Turn terminating and repeating decimals into simplified fractions with step-by-step examples: 0.375, 0.6 and 0.333…
How-to guidesHow to Multiply and Divide Fractions and Mixed Numbers
Multiply across, divide by flipping, convert mixed numbers first and simplify at the end — with four worked examples.