13/23 as a decimal
13/23 as a decimal is 0.5652173913043478260869… (the digits 5652173913043478260869 repeat forever), which is 0.57 rounded to 2 decimal places.
Change either number to try your own. The digits 5652173913043478260869 repeat. Rounded to 2 places: 0.57. In lowest terms: 13/23.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 13 by the bottom number 23.
- 2
23 does not go into 13 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 5652173913043478260869 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{13}{23} = 0.\overline{5652173913043478260869} \]
\[ \frac{13}{23} = 13 \div 23 \]Long division of 13 by 23
| Step | Remainder × 10 | Divide by 23 | Remainder left |
|---|---|---|---|
| 1 | 130 | 130 ÷ 23 = 5 | 15 |
| 2 | 150 | 150 ÷ 23 = 6 | 12 |
| 3 | 120 | 120 ÷ 23 = 5 | 5 |
| 4 | 50 | 50 ÷ 23 = 2 | 4 |
| 5 | 40 | 40 ÷ 23 = 1 | 17 |
| 6 | 170 | 170 ÷ 23 = 7 | 9 |
| 7 | 90 | 90 ÷ 23 = 3 | 21 |
| 8 | 210 | 210 ÷ 23 = 9 | 3 |
| 9 | 30 | 30 ÷ 23 = 1 | 7 |
| 10 | 70 | 70 ÷ 23 = 3 | 1 |
| 11 | 10 | 10 ÷ 23 = 0 | 10 |
| 12 | 100 | 100 ÷ 23 = 4 | 8 |
Questions
What is 13/23 as a decimal?
13/23 as a decimal is 0.5652173913043478260869… (the digits 5652173913043478260869 repeat forever), which is 0.57 rounded to 2 decimal places.
Is 13/23 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 5652173913043478260869 (22 digits) repeats.
What is 13/23 as a percent?
13/23 is 56.5217391304347826086956…% as a percent.
How do I round 13/23 to 2 decimal places?
13/23 rounded to 2 decimal places is 0.57.