Decimal
0.66…
What is 2/3 as a decimal and percent?
Answer
2/3 as a decimal is 0.66…. As a percent, 2/3 is 66.6667%.
Percent
66.6667%
Step-by-step working
1
Divide the numerator by the denominator
To turn any fraction into a decimal, divide the top by the bottom.
2 ÷ 3 = 0.66…
2
Multiply by 100 for the percent
Percent means "out of one hundred". Multiplying a decimal by 100 (or moving the decimal point two places to the right) gives the percent value.
0.66… × 100 = 66.6667%
3
Round if needed
In this case 2/3 produces a recurring decimal, so rounding is required. Two decimal places (≈ 0.67) is enough for most everyday work; four (≈ 0.6667) for precise calculations.
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Decimal
0.66…
Percent
66.6667%
About this fraction
Two-thirds is the everyday 'majority' fraction — a two-thirds majority vote, two-thirds of a recipe scaled down, or two of three even shares. The recurring 0.666… is the complement of 1/3. The denominator has prime factors other than 2 and 5, which is why the decimal repeats forever.
Common conversions
Related fractions and their decimal / percent values for quick comparison.
| Fraction | Decimal | Percent |
|---|---|---|
| 1/3 | 0.(3) | 33.3333% |
| 2/3 | 0.(6) | 66.6667% |
| 1/2 | 0.5 | 50% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 1/10 | 0.1 | 10% |
Frequently asked questions
What is 2/3 as a decimal?
2/3 as a decimal is 0.66…. The decimal recurs — the digits repeat indefinitely. Divide the numerator by the denominator: 2 ÷ 3 = 0.66…. For most everyday work, round to two or three decimal places.
What is 2/3 as a percent?
2/3 as a percent is 66.6667%. Take the decimal value (0.66…) and move the decimal point two places to the right — the same as multiplying by 100.
Is 2/3 already in lowest form?
Yes. 2/3 is already in lowest form because the greatest common divisor of 2 and 3 is 1.
Does 2/3 terminate or recur as a decimal?
2/3 recurs (does not terminate) as a decimal. The denominator (after simplifying to 2/3) contains prime factors other than 2 and 5, which forces an infinitely repeating block.