2/3 as a decimal
2/3 as a decimal is 0.666666… (the digits 6 repeat forever), which is 0.67 rounded to 2 decimal places.
Change either number to try your own. The digits 6 repeat. Rounded to 2 places: 0.67. In lowest terms: 2/3.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 2 by the bottom number 3.
- 2
3 does not go into 2 even once, so the whole part is 0 and we carry on after the decimal point.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 3, and write the digit. A remainder comes back after 1 step, so the digits 6 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{2}{3} = 0.\overline{6} \]
\[ \frac{2}{3} = 2 \div 3 \]Long division of 2 by 3
| Step | Remainder × 10 | Divide by 3 | Remainder left |
|---|---|---|---|
| 1 | 20 | 20 ÷ 3 = 6 | 2 |
Questions
What is 2/3 as a decimal?
2/3 as a decimal is 0.666666… (the digits 6 repeat forever), which is 0.67 rounded to 2 decimal places.
Is 2/3 a terminating or a repeating decimal?
It repeats. The bottom number 3 = 3 has a prime factor other than 2 and 5, so the division never ends and the block 6 (1 digit) repeats.
What is 2/3 as a percent?
2/3 is 66.666666…% as a percent.
How do I round 2/3 to 2 decimal places?
2/3 rounded to 2 decimal places is 0.67.