21/67 as a decimal
21/67 as a decimal is 0.313432835820895522388059701492537… (the digits 313432835820895522388059701492537 repeat forever), which is 0.31 rounded to 2 decimal places.
Change either number to try your own. The digits 313432835820895522388059701492537 repeat. Rounded to 2 places: 0.31. In lowest terms: 21/67.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 21 by the bottom number 67.
- 2
67 does not go into 21 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 313432835820895522388059701492537 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{21}{67} = 0.\overline{313432835820895522388059701492537} \]
\[ \frac{21}{67} = 21 \div 67 \]Long division of 21 by 67
| Step | Remainder × 10 | Divide by 67 | Remainder left |
|---|---|---|---|
| 1 | 210 | 210 ÷ 67 = 3 | 9 |
| 2 | 90 | 90 ÷ 67 = 1 | 23 |
| 3 | 230 | 230 ÷ 67 = 3 | 29 |
| 4 | 290 | 290 ÷ 67 = 4 | 22 |
| 5 | 220 | 220 ÷ 67 = 3 | 19 |
| 6 | 190 | 190 ÷ 67 = 2 | 56 |
| 7 | 560 | 560 ÷ 67 = 8 | 24 |
| 8 | 240 | 240 ÷ 67 = 3 | 39 |
| 9 | 390 | 390 ÷ 67 = 5 | 55 |
| 10 | 550 | 550 ÷ 67 = 8 | 14 |
| 11 | 140 | 140 ÷ 67 = 2 | 6 |
| 12 | 60 | 60 ÷ 67 = 0 | 60 |
Questions
What is 21/67 as a decimal?
21/67 as a decimal is 0.313432835820895522388059701492537… (the digits 313432835820895522388059701492537 repeat forever), which is 0.31 rounded to 2 decimal places.
Is 21/67 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 313432835820895522388059701492537 (33 digits) repeats.
What is 21/67 as a percent?
21/67 is 31.343283582089552238805970149253731…% as a percent.
How do I round 21/67 to 2 decimal places?
21/67 rounded to 2 decimal places is 0.31.