10/21 as a decimal
10/21 as a decimal is 0.476190… (the digits 476190 repeat forever), which is 0.48 rounded to 2 decimal places.
Change either number to try your own. The digits 476190 repeat. Rounded to 2 places: 0.48. In lowest terms: 10/21.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 10 by the bottom number 21.
- 2
21 does not go into 10 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 21, and write the digit. A remainder comes back after 6 steps, so the digits 476190 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{10}{21} = 0.\overline{476190} \]
\[ \frac{10}{21} = 10 \div 21 \]Long division of 10 by 21
| Step | Remainder × 10 | Divide by 21 | Remainder left |
|---|---|---|---|
| 1 | 100 | 100 ÷ 21 = 4 | 16 |
| 2 | 160 | 160 ÷ 21 = 7 | 13 |
| 3 | 130 | 130 ÷ 21 = 6 | 4 |
| 4 | 40 | 40 ÷ 21 = 1 | 19 |
| 5 | 190 | 190 ÷ 21 = 9 | 1 |
| 6 | 10 | 10 ÷ 21 = 0 | 10 |
Questions
What is 10/21 as a decimal?
10/21 as a decimal is 0.476190… (the digits 476190 repeat forever), which is 0.48 rounded to 2 decimal places.
Is 10/21 a terminating or a repeating decimal?
It repeats. The bottom number 21 = 3 × 7 has a prime factor other than 2 and 5, so the division never ends and the block 476190 (6 digits) repeats.
What is 10/21 as a percent?
10/21 is 47.619047…% as a percent.
How do I round 10/21 to 2 decimal places?
10/21 rounded to 2 decimal places is 0.48.