65/81 as a decimal
65/81 as a decimal is 0.802469135… (the digits 802469135 repeat forever), which is 0.80 rounded to 2 decimal places.
Change either number to try your own. The digits 802469135 repeat. Rounded to 2 places: 0.80. In lowest terms: 65/81.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 65 by the bottom number 81.
- 2
81 does not go into 65 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 81, and write the digit. A remainder comes back after 9 steps, so the digits 802469135 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{65}{81} = 0.\overline{802469135} \]
\[ \frac{65}{81} = 65 \div 81 \]Long division of 65 by 81
| Step | Remainder × 10 | Divide by 81 | Remainder left |
|---|---|---|---|
| 1 | 650 | 650 ÷ 81 = 8 | 2 |
| 2 | 20 | 20 ÷ 81 = 0 | 20 |
| 3 | 200 | 200 ÷ 81 = 2 | 38 |
| 4 | 380 | 380 ÷ 81 = 4 | 56 |
| 5 | 560 | 560 ÷ 81 = 6 | 74 |
| 6 | 740 | 740 ÷ 81 = 9 | 11 |
| 7 | 110 | 110 ÷ 81 = 1 | 29 |
| 8 | 290 | 290 ÷ 81 = 3 | 47 |
| 9 | 470 | 470 ÷ 81 = 5 | 65 |
Questions
What is 65/81 as a decimal?
65/81 as a decimal is 0.802469135… (the digits 802469135 repeat forever), which is 0.80 rounded to 2 decimal places.
Is 65/81 a terminating or a repeating decimal?
It repeats. The bottom number 81 = 3 × 3 × 3 × 3 has a prime factor other than 2 and 5, so the division never ends and the block 802469135 (9 digits) repeats.
What is 65/81 as a percent?
65/81 is 80.246913580…% as a percent.
How do I round 65/81 to 2 decimal places?
65/81 rounded to 2 decimal places is 0.80.