21/65 as a decimal
21/65 as a decimal is 0.3230769… (the digits 230769 repeat forever), which is 0.32 rounded to 2 decimal places.
Change either number to try your own. The digits 230769 repeat. Rounded to 2 places: 0.32. In lowest terms: 21/65.
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 65.
- 2
65 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 65, and write the digit. A remainder comes back after 7 steps, so the digits 230769 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{21}{65} = 0.3\overline{230769} \]
\[ \frac{21}{65} = 21 \div 65 \]Long division of 21 by 65
| Step | Remainder × 10 | Divide by 65 | Remainder left |
|---|---|---|---|
| 1 | 210 | 210 ÷ 65 = 3 | 15 |
| 2 | 150 | 150 ÷ 65 = 2 | 20 |
| 3 | 200 | 200 ÷ 65 = 3 | 5 |
| 4 | 50 | 50 ÷ 65 = 0 | 50 |
| 5 | 500 | 500 ÷ 65 = 7 | 45 |
| 6 | 450 | 450 ÷ 65 = 6 | 60 |
| 7 | 600 | 600 ÷ 65 = 9 | 15 |
Questions
What is 21/65 as a decimal?
21/65 as a decimal is 0.3230769… (the digits 230769 repeat forever), which is 0.32 rounded to 2 decimal places.
Is 21/65 a terminating or a repeating decimal?
It repeats. The bottom number 65 = 5 × 13 has a prime factor other than 2 and 5, so the division never ends and the block 230769 (6 digits) repeats.
What is 21/65 as a percent?
21/65 is 32.307692…% as a percent.
How do I round 21/65 to 2 decimal places?
21/65 rounded to 2 decimal places is 0.32.