41/47 as a decimal
41/47 as a decimal is 0.8723404255319148936170212765957446808510638297… (the digits 8723404255319148936170212765957446808510638297 repeat forever), which is 0.87 rounded to 2 decimal places.
Change either number to try your own. The digits 8723404255319148936170212765957446808510638297 repeat. Rounded to 2 places: 0.87. In lowest terms: 41/47.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 41 by the bottom number 47.
- 2
47 does not go into 41 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 47, and write the digit. A remainder comes back after 46 steps, so the digits 8723404255319148936170212765957446808510638297 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{41}{47} = 0.\overline{8723404255319148936170212765957446808510638297} \]
\[ \frac{41}{47} = 41 \div 47 \]Long division of 41 by 47
| Step | Remainder × 10 | Divide by 47 | Remainder left |
|---|---|---|---|
| 1 | 410 | 410 ÷ 47 = 8 | 34 |
| 2 | 340 | 340 ÷ 47 = 7 | 11 |
| 3 | 110 | 110 ÷ 47 = 2 | 16 |
| 4 | 160 | 160 ÷ 47 = 3 | 19 |
| 5 | 190 | 190 ÷ 47 = 4 | 2 |
| 6 | 20 | 20 ÷ 47 = 0 | 20 |
| 7 | 200 | 200 ÷ 47 = 4 | 12 |
| 8 | 120 | 120 ÷ 47 = 2 | 26 |
| 9 | 260 | 260 ÷ 47 = 5 | 25 |
| 10 | 250 | 250 ÷ 47 = 5 | 15 |
| 11 | 150 | 150 ÷ 47 = 3 | 9 |
| 12 | 90 | 90 ÷ 47 = 1 | 43 |
Questions
What is 41/47 as a decimal?
41/47 as a decimal is 0.8723404255319148936170212765957446808510638297… (the digits 8723404255319148936170212765957446808510638297 repeat forever), which is 0.87 rounded to 2 decimal places.
Is 41/47 a terminating or a repeating decimal?
It repeats. The bottom number 47 = 47 has a prime factor other than 2 and 5, so the division never ends and the block 8723404255319148936170212765957446808510638297 (46 digits) repeats.
What is 41/47 as a percent?
41/47 is 87.2340425531914893617021276595744680851063829787…% as a percent.
How do I round 41/47 to 2 decimal places?
41/47 rounded to 2 decimal places is 0.87.