3/13 as a decimal
3/13 as a decimal is 0.230769… (the digits 230769 repeat forever), which is 0.23 rounded to 2 decimal places.
Change either number to try your own. The digits 230769 repeat. Rounded to 2 places: 0.23. In lowest terms: 3/13.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 3 by the bottom number 13.
- 2
13 does not go into 3 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 13, and write the digit. A remainder comes back after 6 steps, so the digits 230769 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{3}{13} = 0.\overline{230769} \]
\[ \frac{3}{13} = 3 \div 13 \]Long division of 3 by 13
| Step | Remainder × 10 | Divide by 13 | Remainder left |
|---|---|---|---|
| 1 | 30 | 30 ÷ 13 = 2 | 4 |
| 2 | 40 | 40 ÷ 13 = 3 | 1 |
| 3 | 10 | 10 ÷ 13 = 0 | 10 |
| 4 | 100 | 100 ÷ 13 = 7 | 9 |
| 5 | 90 | 90 ÷ 13 = 6 | 12 |
| 6 | 120 | 120 ÷ 13 = 9 | 3 |
Questions
What is 3/13 as a decimal?
3/13 as a decimal is 0.230769… (the digits 230769 repeat forever), which is 0.23 rounded to 2 decimal places.
Is 3/13 a terminating or a repeating decimal?
It repeats. The bottom number 13 = 13 has a prime factor other than 2 and 5, so the division never ends and the block 230769 (6 digits) repeats.
What is 3/13 as a percent?
3/13 is 23.076923…% as a percent.
How do I round 3/13 to 2 decimal places?
3/13 rounded to 2 decimal places is 0.23.