education
2/3 as a Decimal
Last updated: May 31, 2026
Written by Blake Boege
A fraction to decimal conversion maps a ratio of whole numbers to a terminating or repeating decimal representation.
Find out how to convert 2/3 as a decimal. Learn about repeating decimals, view the step-by-step conversion, and try our live interactive fraction-to-decimal widget.
Quick Answer
2/3 as a decimal equals 0.666… (repeating, written with bar as 0.6̄). Calculated by dividing 2 by 3.
2/3 = 0.666…
e.g. 3
Cannot be 0. · e.g. 4
Adjust numerator and denominator to dynamically recalculate the value.
Decimal value
0.6666666667
2/3 as a decimal
Divide the numerator by the denominator.
How it works
To find the decimal representation of the fraction 2/3, divide the numerator by the denominator:
Division Formula
2 ÷ 3 = 0.666…
Decimal Type
This is a repeating decimal, where the digit repeats infinitely. It can be written as 0.6̄ using a combining overline bar, or rounded to 0.667 for most practical applications.
Step-by-Step Division for 2/3
To perform this conversion manually, use long division. Treat the fraction line as a division symbol. Write 2 as 2.000 and divide by 3:
1. 2 divided by 3 is 0 with a remainder of 2.
2. Add a decimal point and bring down a 0, making it 20.
3. Keep performing long division until the division resolves or enters a repeating loop.
4. Result = 0.666…
Terminating vs. Repeating Decimals
Fractions whose denominators only have prime factors of 2 or 5 will always result in a terminating decimal (like 1/2, 1/4, or 1/8). Denominators with other prime factors (like 3 or 6) result in repeating decimal sequences.
Common Fraction Equivalents Reference Table
| Fraction | Decimal | Percent |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.333… | 33.3% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/8 | 0.125 | 12.5% |
| 3/8 | 0.375 | 37.5% |
| 5/8 | 0.625 | 62.5% |
| 7/8 | 0.875 | 87.5% |
Related Calculators
More tools from Education
Frequently asked questions
2/3 as a decimal is 0.666… which is a repeating decimal. It can also be written with a repeating bar as 0.6̄ or rounded to 0.667.
Since the next digit is 6 (0.6666…), you round up the third decimal place to get 0.667.
Related calculators
Education
1/3 as a Decimal
Convert 1/3 to a decimal. See step-by-step division, standard and repeating decimal properties, and use our live interactive math conversion widget.
Education
1/6 as a Decimal
Convert 1/6 to a decimal. See step-by-step division, standard and repeating decimal properties, and use our live interactive math conversion widget.
Education
1/4 as a Decimal
Convert 1/4 to a decimal. See step-by-step division, standard and repeating decimal properties, and use our live interactive math conversion widget.
Education
Fraction to Decimal Calculator
Convert any fraction to a decimal and percent. Returns the simplified fraction, decimal value, percent, and mixed-number form when applicable.
Education
Decimal to Fraction Calculator
Convert a terminating decimal to a simplified fraction. Returns the unsimplified form, simplified fraction, mixed number, and percent.
Education
Fraction Calculator
Add fractions, subtract, multiply, divide, and simplify fractions. Convert fraction to decimal and convert improper fractions to mixed numbers with step by step work.