55/67 as a decimal
55/67 as a decimal is 0.820895522388059701492537313432835… (the digits 820895522388059701492537313432835 repeat forever), which is 0.82 rounded to 2 decimal places.
Change either number to try your own. The digits 820895522388059701492537313432835 repeat. Rounded to 2 places: 0.82. In lowest terms: 55/67.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 55 by the bottom number 67.
- 2
67 does not go into 55 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 820895522388059701492537313432835 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{55}{67} = 0.\overline{820895522388059701492537313432835} \]
\[ \frac{55}{67} = 55 \div 67 \]Long division of 55 by 67
| Step | Remainder × 10 | Divide by 67 | Remainder left |
|---|---|---|---|
| 1 | 550 | 550 ÷ 67 = 8 | 14 |
| 2 | 140 | 140 ÷ 67 = 2 | 6 |
| 3 | 60 | 60 ÷ 67 = 0 | 60 |
| 4 | 600 | 600 ÷ 67 = 8 | 64 |
| 5 | 640 | 640 ÷ 67 = 9 | 37 |
| 6 | 370 | 370 ÷ 67 = 5 | 35 |
| 7 | 350 | 350 ÷ 67 = 5 | 15 |
| 8 | 150 | 150 ÷ 67 = 2 | 16 |
| 9 | 160 | 160 ÷ 67 = 2 | 26 |
| 10 | 260 | 260 ÷ 67 = 3 | 59 |
| 11 | 590 | 590 ÷ 67 = 8 | 54 |
| 12 | 540 | 540 ÷ 67 = 8 | 4 |
Questions
What is 55/67 as a decimal?
55/67 as a decimal is 0.820895522388059701492537313432835… (the digits 820895522388059701492537313432835 repeat forever), which is 0.82 rounded to 2 decimal places.
Is 55/67 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 820895522388059701492537313432835 (33 digits) repeats.
What is 55/67 as a percent?
55/67 is 82.089552238805970149253731343283582…% as a percent.
How do I round 55/67 to 2 decimal places?
55/67 rounded to 2 decimal places is 0.82.