31/66 as a decimal
31/66 as a decimal is 0.469696… (the digits 69 repeat forever), which is 0.47 rounded to 2 decimal places.
Change either number to try your own. The digits 69 repeat. Rounded to 2 places: 0.47. In lowest terms: 31/66.
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 66.
- 2
66 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 66, and write the digit. A remainder comes back after 3 steps, so the digits 69 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{31}{66} = 0.4\overline{69} \]
\[ \frac{31}{66} = 31 \div 66 \]Long division of 31 by 66
| Step | Remainder × 10 | Divide by 66 | Remainder left |
|---|---|---|---|
| 1 | 310 | 310 ÷ 66 = 4 | 46 |
| 2 | 460 | 460 ÷ 66 = 6 | 64 |
| 3 | 640 | 640 ÷ 66 = 9 | 46 |
Questions
What is 31/66 as a decimal?
31/66 as a decimal is 0.469696… (the digits 69 repeat forever), which is 0.47 rounded to 2 decimal places.
Is 31/66 a terminating or a repeating decimal?
It repeats. The bottom number 66 = 2 × 3 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 69 (2 digits) repeats.
What is 31/66 as a percent?
31/66 is 46.969696…% as a percent.
How do I round 31/66 to 2 decimal places?
31/66 rounded to 2 decimal places is 0.47.