1/31 as a decimal
1/31 as a decimal is 0.032258064516129… (the digits 032258064516129 repeat forever), which is 0.03 rounded to 2 decimal places.
Change either number to try your own. The digits 032258064516129 repeat. Rounded to 2 places: 0.03. In lowest terms: 1/31.
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 31.
- 2
31 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 31, and write the digit. A remainder comes back after 15 steps, so the digits 032258064516129 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{1}{31} = 0.\overline{032258064516129} \]
\[ \frac{1}{31} = 1 \div 31 \]Long division of 1 by 31
| Step | Remainder × 10 | Divide by 31 | Remainder left |
|---|---|---|---|
| 1 | 10 | 10 ÷ 31 = 0 | 10 |
| 2 | 100 | 100 ÷ 31 = 3 | 7 |
| 3 | 70 | 70 ÷ 31 = 2 | 8 |
| 4 | 80 | 80 ÷ 31 = 2 | 18 |
| 5 | 180 | 180 ÷ 31 = 5 | 25 |
| 6 | 250 | 250 ÷ 31 = 8 | 2 |
| 7 | 20 | 20 ÷ 31 = 0 | 20 |
| 8 | 200 | 200 ÷ 31 = 6 | 14 |
| 9 | 140 | 140 ÷ 31 = 4 | 16 |
| 10 | 160 | 160 ÷ 31 = 5 | 5 |
| 11 | 50 | 50 ÷ 31 = 1 | 19 |
| 12 | 190 | 190 ÷ 31 = 6 | 4 |
Questions
What is 1/31 as a decimal?
1/31 as a decimal is 0.032258064516129… (the digits 032258064516129 repeat forever), which is 0.03 rounded to 2 decimal places.
Is 1/31 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 032258064516129 (15 digits) repeats.
What is 1/31 as a percent?
1/31 is 3.225806451612903…% as a percent.
How do I round 1/31 to 2 decimal places?
1/31 rounded to 2 decimal places is 0.03.