31/67 as a decimal
31/67 as a decimal is 0.462686567164179104477611940298507… (the digits 462686567164179104477611940298507 repeat forever), which is 0.46 rounded to 2 decimal places.
Change either number to try your own. The digits 462686567164179104477611940298507 repeat. Rounded to 2 places: 0.46. In lowest terms: 31/67.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 31 by the bottom number 67.
- 2
67 does not go into 31 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 67, and write the digit. A remainder comes back after 33 steps, so the digits 462686567164179104477611940298507 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{31}{67} = 0.\overline{462686567164179104477611940298507} \]
\[ \frac{31}{67} = 31 \div 67 \]Long division of 31 by 67
| Step | Remainder × 10 | Divide by 67 | Remainder left |
|---|---|---|---|
| 1 | 310 | 310 ÷ 67 = 4 | 42 |
| 2 | 420 | 420 ÷ 67 = 6 | 18 |
| 3 | 180 | 180 ÷ 67 = 2 | 46 |
| 4 | 460 | 460 ÷ 67 = 6 | 58 |
| 5 | 580 | 580 ÷ 67 = 8 | 44 |
| 6 | 440 | 440 ÷ 67 = 6 | 38 |
| 7 | 380 | 380 ÷ 67 = 5 | 45 |
| 8 | 450 | 450 ÷ 67 = 6 | 48 |
| 9 | 480 | 480 ÷ 67 = 7 | 11 |
| 10 | 110 | 110 ÷ 67 = 1 | 43 |
| 11 | 430 | 430 ÷ 67 = 6 | 28 |
| 12 | 280 | 280 ÷ 67 = 4 | 12 |
Questions
What is 31/67 as a decimal?
31/67 as a decimal is 0.462686567164179104477611940298507… (the digits 462686567164179104477611940298507 repeat forever), which is 0.46 rounded to 2 decimal places.
Is 31/67 a terminating or a repeating decimal?
It repeats. The bottom number 67 = 67 has a prime factor other than 2 and 5, so the division never ends and the block 462686567164179104477611940298507 (33 digits) repeats.
What is 31/67 as a percent?
31/67 is 46.268656716417910447761194029850746…% as a percent.
How do I round 31/67 to 2 decimal places?
31/67 rounded to 2 decimal places is 0.46.