21/71 as a decimal
21/71 as a decimal is 0.29577464788732394366197183098591549… (the digits 29577464788732394366197183098591549 repeat forever), which is 0.30 rounded to 2 decimal places.
Change either number to try your own. The digits 29577464788732394366197183098591549 repeat. Rounded to 2 places: 0.30. In lowest terms: 21/71.
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 71.
- 2
71 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 71, and write the digit. A remainder comes back after 35 steps, so the digits 29577464788732394366197183098591549 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{21}{71} = 0.\overline{29577464788732394366197183098591549} \]
\[ \frac{21}{71} = 21 \div 71 \]Long division of 21 by 71
| Step | Remainder × 10 | Divide by 71 | Remainder left |
|---|---|---|---|
| 1 | 210 | 210 ÷ 71 = 2 | 68 |
| 2 | 680 | 680 ÷ 71 = 9 | 41 |
| 3 | 410 | 410 ÷ 71 = 5 | 55 |
| 4 | 550 | 550 ÷ 71 = 7 | 53 |
| 5 | 530 | 530 ÷ 71 = 7 | 33 |
| 6 | 330 | 330 ÷ 71 = 4 | 46 |
| 7 | 460 | 460 ÷ 71 = 6 | 34 |
| 8 | 340 | 340 ÷ 71 = 4 | 56 |
| 9 | 560 | 560 ÷ 71 = 7 | 63 |
| 10 | 630 | 630 ÷ 71 = 8 | 62 |
| 11 | 620 | 620 ÷ 71 = 8 | 52 |
| 12 | 520 | 520 ÷ 71 = 7 | 23 |
Questions
What is 21/71 as a decimal?
21/71 as a decimal is 0.29577464788732394366197183098591549… (the digits 29577464788732394366197183098591549 repeat forever), which is 0.30 rounded to 2 decimal places.
Is 21/71 a terminating or a repeating decimal?
It repeats. The bottom number 71 = 71 has a prime factor other than 2 and 5, so the division never ends and the block 29577464788732394366197183098591549 (35 digits) repeats.
What is 21/71 as a percent?
21/71 is 29.57746478873239436619718309859154929…% as a percent.
How do I round 21/71 to 2 decimal places?
21/71 rounded to 2 decimal places is 0.30.