59/61 as a decimal
59/61 as a decimal is 0.967213114754098360655737704918032786885245901639344262295081… (the digits 967213114754098360655737704918032786885245901639344262295081 repeat forever), which is 0.97 rounded to 2 decimal places.
Change either number to try your own. The digits 967213114754098360655737704918032786885245901639344262295081 repeat. Rounded to 2 places: 0.97. In lowest terms: 59/61.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 59 by the bottom number 61.
- 2
61 does not go into 59 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 61, and write the digit. A remainder comes back after 60 steps, so the digits 967213114754098360655737704918032786885245901639344262295081 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{59}{61} = 0.\overline{967213114754098360655737704918032786885245901639344262295081} \]
\[ \frac{59}{61} = 59 \div 61 \]Long division of 59 by 61
| Step | Remainder × 10 | Divide by 61 | Remainder left |
|---|---|---|---|
| 1 | 590 | 590 ÷ 61 = 9 | 41 |
| 2 | 410 | 410 ÷ 61 = 6 | 44 |
| 3 | 440 | 440 ÷ 61 = 7 | 13 |
| 4 | 130 | 130 ÷ 61 = 2 | 8 |
| 5 | 80 | 80 ÷ 61 = 1 | 19 |
| 6 | 190 | 190 ÷ 61 = 3 | 7 |
| 7 | 70 | 70 ÷ 61 = 1 | 9 |
| 8 | 90 | 90 ÷ 61 = 1 | 29 |
| 9 | 290 | 290 ÷ 61 = 4 | 46 |
| 10 | 460 | 460 ÷ 61 = 7 | 33 |
| 11 | 330 | 330 ÷ 61 = 5 | 25 |
| 12 | 250 | 250 ÷ 61 = 4 | 6 |
Questions
What is 59/61 as a decimal?
59/61 as a decimal is 0.967213114754098360655737704918032786885245901639344262295081… (the digits 967213114754098360655737704918032786885245901639344262295081 repeat forever), which is 0.97 rounded to 2 decimal places.
Is 59/61 a terminating or a repeating decimal?
It repeats. The bottom number 61 = 61 has a prime factor other than 2 and 5, so the division never ends and the block 967213114754098360655737704918032786885245901639344262295081 (60 digits) repeats.
What is 59/61 as a percent?
59/61 is 96.721311475409836065573770491803278688524590163934426229508196…% as a percent.
How do I round 59/61 to 2 decimal places?
59/61 rounded to 2 decimal places is 0.97.