21/83 as a decimal
21/83 as a decimal is 0.25301204819277108433734939759036144578313… (the digits 25301204819277108433734939759036144578313 repeat forever), which is 0.25 rounded to 2 decimal places.
Change either number to try your own. The digits 25301204819277108433734939759036144578313 repeat. Rounded to 2 places: 0.25. In lowest terms: 21/83.
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 83.
- 2
83 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 83, and write the digit. A remainder comes back after 41 steps, so the digits 25301204819277108433734939759036144578313 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{21}{83} = 0.\overline{25301204819277108433734939759036144578313} \]
\[ \frac{21}{83} = 21 \div 83 \]Long division of 21 by 83
| Step | Remainder × 10 | Divide by 83 | Remainder left |
|---|---|---|---|
| 1 | 210 | 210 ÷ 83 = 2 | 44 |
| 2 | 440 | 440 ÷ 83 = 5 | 25 |
| 3 | 250 | 250 ÷ 83 = 3 | 1 |
| 4 | 10 | 10 ÷ 83 = 0 | 10 |
| 5 | 100 | 100 ÷ 83 = 1 | 17 |
| 6 | 170 | 170 ÷ 83 = 2 | 4 |
| 7 | 40 | 40 ÷ 83 = 0 | 40 |
| 8 | 400 | 400 ÷ 83 = 4 | 68 |
| 9 | 680 | 680 ÷ 83 = 8 | 16 |
| 10 | 160 | 160 ÷ 83 = 1 | 77 |
| 11 | 770 | 770 ÷ 83 = 9 | 23 |
| 12 | 230 | 230 ÷ 83 = 2 | 64 |
Questions
What is 21/83 as a decimal?
21/83 as a decimal is 0.25301204819277108433734939759036144578313… (the digits 25301204819277108433734939759036144578313 repeat forever), which is 0.25 rounded to 2 decimal places.
Is 21/83 a terminating or a repeating decimal?
It repeats. The bottom number 83 = 83 has a prime factor other than 2 and 5, so the division never ends and the block 25301204819277108433734939759036144578313 (41 digits) repeats.
What is 21/83 as a percent?
21/83 is 25.30120481927710843373493975903614457831325…% as a percent.
How do I round 21/83 to 2 decimal places?
21/83 rounded to 2 decimal places is 0.25.