35/82 as a decimal
35/82 as a decimal is 0.426829… (the digits 26829 repeat forever), which is 0.43 rounded to 2 decimal places.
Change either number to try your own. The digits 26829 repeat. Rounded to 2 places: 0.43. In lowest terms: 35/82.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 35 by the bottom number 82.
- 2
82 does not go into 35 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 82, and write the digit. A remainder comes back after 6 steps, so the digits 26829 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{35}{82} = 0.4\overline{26829} \]
\[ \frac{35}{82} = 35 \div 82 \]Long division of 35 by 82
| Step | Remainder × 10 | Divide by 82 | Remainder left |
|---|---|---|---|
| 1 | 350 | 350 ÷ 82 = 4 | 22 |
| 2 | 220 | 220 ÷ 82 = 2 | 56 |
| 3 | 560 | 560 ÷ 82 = 6 | 68 |
| 4 | 680 | 680 ÷ 82 = 8 | 24 |
| 5 | 240 | 240 ÷ 82 = 2 | 76 |
| 6 | 760 | 760 ÷ 82 = 9 | 22 |
Questions
What is 35/82 as a decimal?
35/82 as a decimal is 0.426829… (the digits 26829 repeat forever), which is 0.43 rounded to 2 decimal places.
Is 35/82 a terminating or a repeating decimal?
It repeats. The bottom number 82 = 2 × 41 has a prime factor other than 2 and 5, so the division never ends and the block 26829 (5 digits) repeats.
What is 35/82 as a percent?
35/82 is 42.682926…% as a percent.
How do I round 35/82 to 2 decimal places?
35/82 rounded to 2 decimal places is 0.43.