1/3 as a decimal
1/3 as a decimal is 0.333333… (the digits 3 repeat forever), which is 0.33 rounded to 2 decimal places.
Change either number to try your own. The digits 3 repeat. Rounded to 2 places: 0.33. In lowest terms: 1/3.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 1 by the bottom number 3.
- 2
3 does not go into 1 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 3 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{1}{3} = 0.\overline{3} \]
\[ \frac{1}{3} = 1 \div 3 \]Long division of 1 by 3
| Step | Remainder × 10 | Divide by 3 | Remainder left |
|---|---|---|---|
| 1 | 10 | 10 ÷ 3 = 3 | 1 |
Questions
What is 1/3 as a decimal?
1/3 as a decimal is 0.333333… (the digits 3 repeat forever), which is 0.33 rounded to 2 decimal places.
Is 1/3 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 3 (1 digit) repeats.
What is 1/3 as a percent?
1/3 is 33.333333…% as a percent.
How do I round 1/3 to 2 decimal places?
1/3 rounded to 2 decimal places is 0.33.