35/41 as a decimal
35/41 as a decimal is 0.853658… (the digits 85365 repeat forever), which is 0.85 rounded to 2 decimal places.
Change either number to try your own. The digits 85365 repeat. Rounded to 2 places: 0.85. In lowest terms: 35/41.
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 41.
- 2
41 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 41, and write the digit. A remainder comes back after 5 steps, so the digits 85365 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{35}{41} = 0.\overline{85365} \]
\[ \frac{35}{41} = 35 \div 41 \]Long division of 35 by 41
| Step | Remainder × 10 | Divide by 41 | Remainder left |
|---|---|---|---|
| 1 | 350 | 350 ÷ 41 = 8 | 22 |
| 2 | 220 | 220 ÷ 41 = 5 | 15 |
| 3 | 150 | 150 ÷ 41 = 3 | 27 |
| 4 | 270 | 270 ÷ 41 = 6 | 24 |
| 5 | 240 | 240 ÷ 41 = 5 | 35 |
Questions
What is 35/41 as a decimal?
35/41 as a decimal is 0.853658… (the digits 85365 repeat forever), which is 0.85 rounded to 2 decimal places.
Is 35/41 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 85365 (5 digits) repeats.
What is 35/41 as a percent?
35/41 is 85.365853…% as a percent.
How do I round 35/41 to 2 decimal places?
35/41 rounded to 2 decimal places is 0.85.