21/41 as a decimal
21/41 as a decimal is 0.512195… (the digits 51219 repeat forever), which is 0.51 rounded to 2 decimal places.
Change either number to try your own. The digits 51219 repeat. Rounded to 2 places: 0.51. In lowest terms: 21/41.
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 41.
- 2
41 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 41, and write the digit. A remainder comes back after 5 steps, so the digits 51219 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{21}{41} = 0.\overline{51219} \]
\[ \frac{21}{41} = 21 \div 41 \]Long division of 21 by 41
| Step | Remainder × 10 | Divide by 41 | Remainder left |
|---|---|---|---|
| 1 | 210 | 210 ÷ 41 = 5 | 5 |
| 2 | 50 | 50 ÷ 41 = 1 | 9 |
| 3 | 90 | 90 ÷ 41 = 2 | 8 |
| 4 | 80 | 80 ÷ 41 = 1 | 39 |
| 5 | 390 | 390 ÷ 41 = 9 | 21 |
Questions
What is 21/41 as a decimal?
21/41 as a decimal is 0.512195… (the digits 51219 repeat forever), which is 0.51 rounded to 2 decimal places.
Is 21/41 a terminating or a repeating decimal?
It repeats. The bottom number 41 = 41 has a prime factor other than 2 and 5, so the division never ends and the block 51219 (5 digits) repeats.
What is 21/41 as a percent?
21/41 is 51.219512…% as a percent.
How do I round 21/41 to 2 decimal places?
21/41 rounded to 2 decimal places is 0.51.