3/71 as a decimal
3/71 as a decimal is 0.04225352112676056338028169014084507… (the digits 04225352112676056338028169014084507 repeat forever), which is 0.04 rounded to 2 decimal places.
Change either number to try your own. The digits 04225352112676056338028169014084507 repeat. Rounded to 2 places: 0.04. In lowest terms: 3/71.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 3 by the bottom number 71.
- 2
71 does not go into 3 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 04225352112676056338028169014084507 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{3}{71} = 0.\overline{04225352112676056338028169014084507} \]
\[ \frac{3}{71} = 3 \div 71 \]Long division of 3 by 71
| Step | Remainder × 10 | Divide by 71 | Remainder left |
|---|---|---|---|
| 1 | 30 | 30 ÷ 71 = 0 | 30 |
| 2 | 300 | 300 ÷ 71 = 4 | 16 |
| 3 | 160 | 160 ÷ 71 = 2 | 18 |
| 4 | 180 | 180 ÷ 71 = 2 | 38 |
| 5 | 380 | 380 ÷ 71 = 5 | 25 |
| 6 | 250 | 250 ÷ 71 = 3 | 37 |
| 7 | 370 | 370 ÷ 71 = 5 | 15 |
| 8 | 150 | 150 ÷ 71 = 2 | 8 |
| 9 | 80 | 80 ÷ 71 = 1 | 9 |
| 10 | 90 | 90 ÷ 71 = 1 | 19 |
| 11 | 190 | 190 ÷ 71 = 2 | 48 |
| 12 | 480 | 480 ÷ 71 = 6 | 54 |
Questions
What is 3/71 as a decimal?
3/71 as a decimal is 0.04225352112676056338028169014084507… (the digits 04225352112676056338028169014084507 repeat forever), which is 0.04 rounded to 2 decimal places.
Is 3/71 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 04225352112676056338028169014084507 (35 digits) repeats.
What is 3/71 as a percent?
3/71 is 4.22535211267605633802816901408450704…% as a percent.
How do I round 3/71 to 2 decimal places?
3/71 rounded to 2 decimal places is 0.04.