13/31 as a decimal
13/31 as a decimal is 0.419354838709677… (the digits 419354838709677 repeat forever), which is 0.42 rounded to 2 decimal places.
Change either number to try your own. The digits 419354838709677 repeat. Rounded to 2 places: 0.42. In lowest terms: 13/31.
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 31.
- 2
31 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 31, and write the digit. A remainder comes back after 15 steps, so the digits 419354838709677 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{13}{31} = 0.\overline{419354838709677} \]
\[ \frac{13}{31} = 13 \div 31 \]Long division of 13 by 31
| Step | Remainder × 10 | Divide by 31 | Remainder left |
|---|---|---|---|
| 1 | 130 | 130 ÷ 31 = 4 | 6 |
| 2 | 60 | 60 ÷ 31 = 1 | 29 |
| 3 | 290 | 290 ÷ 31 = 9 | 11 |
| 4 | 110 | 110 ÷ 31 = 3 | 17 |
| 5 | 170 | 170 ÷ 31 = 5 | 15 |
| 6 | 150 | 150 ÷ 31 = 4 | 26 |
| 7 | 260 | 260 ÷ 31 = 8 | 12 |
| 8 | 120 | 120 ÷ 31 = 3 | 27 |
| 9 | 270 | 270 ÷ 31 = 8 | 22 |
| 10 | 220 | 220 ÷ 31 = 7 | 3 |
| 11 | 30 | 30 ÷ 31 = 0 | 30 |
| 12 | 300 | 300 ÷ 31 = 9 | 21 |
Questions
What is 13/31 as a decimal?
13/31 as a decimal is 0.419354838709677… (the digits 419354838709677 repeat forever), which is 0.42 rounded to 2 decimal places.
Is 13/31 a terminating or a repeating decimal?
It repeats. The bottom number 31 = 31 has a prime factor other than 2 and 5, so the division never ends and the block 419354838709677 (15 digits) repeats.
What is 13/31 as a percent?
13/31 is 41.935483870967741…% as a percent.
How do I round 13/31 to 2 decimal places?
13/31 rounded to 2 decimal places is 0.42.