33/71 as a decimal
33/71 as a decimal is 0.46478873239436619718309859154929577… (the digits 46478873239436619718309859154929577 repeat forever), which is 0.46 rounded to 2 decimal places.
Change either number to try your own. The digits 46478873239436619718309859154929577 repeat. Rounded to 2 places: 0.46. In lowest terms: 33/71.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 33 by the bottom number 71.
- 2
71 does not go into 33 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 71, and write the digit. A remainder comes back after 35 steps, so the digits 46478873239436619718309859154929577 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{33}{71} = 0.\overline{46478873239436619718309859154929577} \]
\[ \frac{33}{71} = 33 \div 71 \]Long division of 33 by 71
| Step | Remainder × 10 | Divide by 71 | Remainder left |
|---|---|---|---|
| 1 | 330 | 330 ÷ 71 = 4 | 46 |
| 2 | 460 | 460 ÷ 71 = 6 | 34 |
| 3 | 340 | 340 ÷ 71 = 4 | 56 |
| 4 | 560 | 560 ÷ 71 = 7 | 63 |
| 5 | 630 | 630 ÷ 71 = 8 | 62 |
| 6 | 620 | 620 ÷ 71 = 8 | 52 |
| 7 | 520 | 520 ÷ 71 = 7 | 23 |
| 8 | 230 | 230 ÷ 71 = 3 | 17 |
| 9 | 170 | 170 ÷ 71 = 2 | 28 |
| 10 | 280 | 280 ÷ 71 = 3 | 67 |
| 11 | 670 | 670 ÷ 71 = 9 | 31 |
| 12 | 310 | 310 ÷ 71 = 4 | 26 |
Questions
What is 33/71 as a decimal?
33/71 as a decimal is 0.46478873239436619718309859154929577… (the digits 46478873239436619718309859154929577 repeat forever), which is 0.46 rounded to 2 decimal places.
Is 33/71 a terminating or a repeating decimal?
It repeats. The bottom number 71 = 71 has a prime factor other than 2 and 5, so the division never ends and the block 46478873239436619718309859154929577 (35 digits) repeats.
What is 33/71 as a percent?
33/71 is 46.47887323943661971830985915492957746…% as a percent.
How do I round 33/71 to 2 decimal places?
33/71 rounded to 2 decimal places is 0.46.