22/67 as a decimal
22/67 as a decimal is 0.328358208955223880597014925373134… (the digits 328358208955223880597014925373134 repeat forever), which is 0.33 rounded to 2 decimal places.
Change either number to try your own. The digits 328358208955223880597014925373134 repeat. Rounded to 2 places: 0.33. In lowest terms: 22/67.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 22 by the bottom number 67.
- 2
67 does not go into 22 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 328358208955223880597014925373134 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{22}{67} = 0.\overline{328358208955223880597014925373134} \]
\[ \frac{22}{67} = 22 \div 67 \]Long division of 22 by 67
| Step | Remainder × 10 | Divide by 67 | Remainder left |
|---|---|---|---|
| 1 | 220 | 220 ÷ 67 = 3 | 19 |
| 2 | 190 | 190 ÷ 67 = 2 | 56 |
| 3 | 560 | 560 ÷ 67 = 8 | 24 |
| 4 | 240 | 240 ÷ 67 = 3 | 39 |
| 5 | 390 | 390 ÷ 67 = 5 | 55 |
| 6 | 550 | 550 ÷ 67 = 8 | 14 |
| 7 | 140 | 140 ÷ 67 = 2 | 6 |
| 8 | 60 | 60 ÷ 67 = 0 | 60 |
| 9 | 600 | 600 ÷ 67 = 8 | 64 |
| 10 | 640 | 640 ÷ 67 = 9 | 37 |
| 11 | 370 | 370 ÷ 67 = 5 | 35 |
| 12 | 350 | 350 ÷ 67 = 5 | 15 |
Questions
What is 22/67 as a decimal?
22/67 as a decimal is 0.328358208955223880597014925373134… (the digits 328358208955223880597014925373134 repeat forever), which is 0.33 rounded to 2 decimal places.
Is 22/67 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 328358208955223880597014925373134 (33 digits) repeats.
What is 22/67 as a percent?
22/67 is 32.835820895522388059701492537313432…% as a percent.
How do I round 22/67 to 2 decimal places?
22/67 rounded to 2 decimal places is 0.33.