3/23 as a decimal
3/23 as a decimal is 0.1304347826086956521739… (the digits 1304347826086956521739 repeat forever), which is 0.13 rounded to 2 decimal places.
Change either number to try your own. The digits 1304347826086956521739 repeat. Rounded to 2 places: 0.13. In lowest terms: 3/23.
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 23.
- 2
23 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 23, and write the digit. A remainder comes back after 22 steps, so the digits 1304347826086956521739 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{3}{23} = 0.\overline{1304347826086956521739} \]
\[ \frac{3}{23} = 3 \div 23 \]Long division of 3 by 23
| Step | Remainder × 10 | Divide by 23 | Remainder left |
|---|---|---|---|
| 1 | 30 | 30 ÷ 23 = 1 | 7 |
| 2 | 70 | 70 ÷ 23 = 3 | 1 |
| 3 | 10 | 10 ÷ 23 = 0 | 10 |
| 4 | 100 | 100 ÷ 23 = 4 | 8 |
| 5 | 80 | 80 ÷ 23 = 3 | 11 |
| 6 | 110 | 110 ÷ 23 = 4 | 18 |
| 7 | 180 | 180 ÷ 23 = 7 | 19 |
| 8 | 190 | 190 ÷ 23 = 8 | 6 |
| 9 | 60 | 60 ÷ 23 = 2 | 14 |
| 10 | 140 | 140 ÷ 23 = 6 | 2 |
| 11 | 20 | 20 ÷ 23 = 0 | 20 |
| 12 | 200 | 200 ÷ 23 = 8 | 16 |
Questions
What is 3/23 as a decimal?
3/23 as a decimal is 0.1304347826086956521739… (the digits 1304347826086956521739 repeat forever), which is 0.13 rounded to 2 decimal places.
Is 3/23 a terminating or a repeating decimal?
It repeats. The bottom number 23 = 23 has a prime factor other than 2 and 5, so the division never ends and the block 1304347826086956521739 (22 digits) repeats.
What is 3/23 as a percent?
3/23 is 13.0434782608695652173913…% as a percent.
How do I round 3/23 to 2 decimal places?
3/23 rounded to 2 decimal places is 0.13.