2/3 as a Decimal
The fraction 2/3 converted to a decimal, with a step-by-step solution.
How to Convert 2/3 to a Decimal (Long Division)
- 1
Set up the division of the numerator by the denominator.
2 ÷ 3
- 2
3 does not go into 2, so the whole-number part is 0. Write "0." and continue with a remainder of 2.
0 . …
- 3
Bring down a 0 to make 20. 3 goes into 20 6 times (6 × 3 = 18), remainder 2. (This is where the repeating block begins.) The remainder 2 has appeared before, so the digits from here on repeat forever.
20 ÷ 3 = 6, r 2
Is 2/3 a Terminating or Repeating Decimal?
2/3 is a repeating decimal. Written in full it is 0.(6) — the digit 6 repeats forever. The parentheses mark the repeating block.
2/3 Rounded to Each Place
| Rounded to | Value |
|---|---|
| Nearest tenth | 0.7 |
| Nearest hundredth | 0.67 |
| Nearest thousandth | 0.667 |
2/3 as a Mixed Number
2/3 is a proper fraction (the numerator is smaller than the denominator), so it is less than 1 and has no whole-number part — its value is just 0.666667.
Try Another Fraction
Step-by-Step Solution
- 1
Divide the numerator by the denominator.
2 ÷ 3 = 0.666667
- 2
Multiply by 100 to get the percentage.
0.666667 × 100 = 66.666667%
Frequently Asked Questions
What is 2/3 as a decimal?
2/3 as a decimal is 0.666667. You get it by dividing the numerator 2 by the denominator 3.
Is 2/3 a terminating or repeating decimal?
2/3 is a repeating decimal. Written out it is 0.(6), where the digit 6 repeats forever.
What is 2/3 rounded to the nearest thousandth?
Rounded to the nearest thousandth, 2/3 ≈ 0.667. To the nearest hundredth it is 0.67, and to the nearest tenth it is 0.7.
Is 2/3 a rational number?
Yes. 2/3 is a ratio of two integers (2 over 3), so it is a rational number — even though its decimal form repeats.