31/47 as a decimal
31/47 as a decimal is 0.6595744680851063829787234042553191489361702127… (the digits 6595744680851063829787234042553191489361702127 repeat forever), which is 0.66 rounded to 2 decimal places.
Change either number to try your own. The digits 6595744680851063829787234042553191489361702127 repeat. Rounded to 2 places: 0.66. In lowest terms: 31/47.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 31 by the bottom number 47.
- 2
47 does not go into 31 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 6595744680851063829787234042553191489361702127 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{31}{47} = 0.\overline{6595744680851063829787234042553191489361702127} \]
\[ \frac{31}{47} = 31 \div 47 \]Long division of 31 by 47
| Step | Remainder × 10 | Divide by 47 | Remainder left |
|---|---|---|---|
| 1 | 310 | 310 ÷ 47 = 6 | 28 |
| 2 | 280 | 280 ÷ 47 = 5 | 45 |
| 3 | 450 | 450 ÷ 47 = 9 | 27 |
| 4 | 270 | 270 ÷ 47 = 5 | 35 |
| 5 | 350 | 350 ÷ 47 = 7 | 21 |
| 6 | 210 | 210 ÷ 47 = 4 | 22 |
| 7 | 220 | 220 ÷ 47 = 4 | 32 |
| 8 | 320 | 320 ÷ 47 = 6 | 38 |
| 9 | 380 | 380 ÷ 47 = 8 | 4 |
| 10 | 40 | 40 ÷ 47 = 0 | 40 |
| 11 | 400 | 400 ÷ 47 = 8 | 24 |
| 12 | 240 | 240 ÷ 47 = 5 | 5 |
Questions
What is 31/47 as a decimal?
31/47 as a decimal is 0.6595744680851063829787234042553191489361702127… (the digits 6595744680851063829787234042553191489361702127 repeat forever), which is 0.66 rounded to 2 decimal places.
Is 31/47 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 6595744680851063829787234042553191489361702127 (46 digits) repeats.
What is 31/47 as a percent?
31/47 is 65.9574468085106382978723404255319148936170212765…% as a percent.
How do I round 31/47 to 2 decimal places?
31/47 rounded to 2 decimal places is 0.66.