55/61 as a decimal
55/61 as a decimal is 0.901639344262295081967213114754098360655737704918032786885245… (the digits 901639344262295081967213114754098360655737704918032786885245 repeat forever), which is 0.90 rounded to 2 decimal places.
Change either number to try your own. The digits 901639344262295081967213114754098360655737704918032786885245 repeat. Rounded to 2 places: 0.90. In lowest terms: 55/61.
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 61.
- 2
61 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 61, and write the digit. A remainder comes back after 60 steps, so the digits 901639344262295081967213114754098360655737704918032786885245 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{55}{61} = 0.\overline{901639344262295081967213114754098360655737704918032786885245} \]
\[ \frac{55}{61} = 55 \div 61 \]Long division of 55 by 61
| Step | Remainder × 10 | Divide by 61 | Remainder left |
|---|---|---|---|
| 1 | 550 | 550 ÷ 61 = 9 | 1 |
| 2 | 10 | 10 ÷ 61 = 0 | 10 |
| 3 | 100 | 100 ÷ 61 = 1 | 39 |
| 4 | 390 | 390 ÷ 61 = 6 | 24 |
| 5 | 240 | 240 ÷ 61 = 3 | 57 |
| 6 | 570 | 570 ÷ 61 = 9 | 21 |
| 7 | 210 | 210 ÷ 61 = 3 | 27 |
| 8 | 270 | 270 ÷ 61 = 4 | 26 |
| 9 | 260 | 260 ÷ 61 = 4 | 16 |
| 10 | 160 | 160 ÷ 61 = 2 | 38 |
| 11 | 380 | 380 ÷ 61 = 6 | 14 |
| 12 | 140 | 140 ÷ 61 = 2 | 18 |
Questions
What is 55/61 as a decimal?
55/61 as a decimal is 0.901639344262295081967213114754098360655737704918032786885245… (the digits 901639344262295081967213114754098360655737704918032786885245 repeat forever), which is 0.90 rounded to 2 decimal places.
Is 55/61 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 901639344262295081967213114754098360655737704918032786885245 (60 digits) repeats.
What is 55/61 as a percent?
55/61 is 90.163934426229508196721311475409836065573770491803278688524590…% as a percent.
How do I round 55/61 to 2 decimal places?
55/61 rounded to 2 decimal places is 0.90.