36/41 as a decimal
36/41 as a decimal is 0.878048… (the digits 87804 repeat forever), which is 0.88 rounded to 2 decimal places.
Change either number to try your own. The digits 87804 repeat. Rounded to 2 places: 0.88. In lowest terms: 36/41.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 36 by the bottom number 41.
- 2
41 does not go into 36 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 87804 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{36}{41} = 0.\overline{87804} \]
\[ \frac{36}{41} = 36 \div 41 \]Long division of 36 by 41
| Step | Remainder × 10 | Divide by 41 | Remainder left |
|---|---|---|---|
| 1 | 360 | 360 ÷ 41 = 8 | 32 |
| 2 | 320 | 320 ÷ 41 = 7 | 33 |
| 3 | 330 | 330 ÷ 41 = 8 | 2 |
| 4 | 20 | 20 ÷ 41 = 0 | 20 |
| 5 | 200 | 200 ÷ 41 = 4 | 36 |
Questions
What is 36/41 as a decimal?
36/41 as a decimal is 0.878048… (the digits 87804 repeat forever), which is 0.88 rounded to 2 decimal places.
Is 36/41 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 87804 (5 digits) repeats.
What is 36/41 as a percent?
36/41 is 87.804878…% as a percent.
How do I round 36/41 to 2 decimal places?
36/41 rounded to 2 decimal places is 0.88.