16/71 as a decimal
16/71 as a decimal is 0.22535211267605633802816901408450704… (the digits 22535211267605633802816901408450704 repeat forever), which is 0.23 rounded to 2 decimal places.
Change either number to try your own. The digits 22535211267605633802816901408450704 repeat. Rounded to 2 places: 0.23. In lowest terms: 16/71.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 16 by the bottom number 71.
- 2
71 does not go into 16 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 22535211267605633802816901408450704 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{16}{71} = 0.\overline{22535211267605633802816901408450704} \]
\[ \frac{16}{71} = 16 \div 71 \]Long division of 16 by 71
| Step | Remainder × 10 | Divide by 71 | Remainder left |
|---|---|---|---|
| 1 | 160 | 160 ÷ 71 = 2 | 18 |
| 2 | 180 | 180 ÷ 71 = 2 | 38 |
| 3 | 380 | 380 ÷ 71 = 5 | 25 |
| 4 | 250 | 250 ÷ 71 = 3 | 37 |
| 5 | 370 | 370 ÷ 71 = 5 | 15 |
| 6 | 150 | 150 ÷ 71 = 2 | 8 |
| 7 | 80 | 80 ÷ 71 = 1 | 9 |
| 8 | 90 | 90 ÷ 71 = 1 | 19 |
| 9 | 190 | 190 ÷ 71 = 2 | 48 |
| 10 | 480 | 480 ÷ 71 = 6 | 54 |
| 11 | 540 | 540 ÷ 71 = 7 | 43 |
| 12 | 430 | 430 ÷ 71 = 6 | 4 |
Questions
What is 16/71 as a decimal?
16/71 as a decimal is 0.22535211267605633802816901408450704… (the digits 22535211267605633802816901408450704 repeat forever), which is 0.23 rounded to 2 decimal places.
Is 16/71 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 22535211267605633802816901408450704 (35 digits) repeats.
What is 16/71 as a percent?
16/71 is 22.53521126760563380281690140845070422…% as a percent.
How do I round 16/71 to 2 decimal places?
16/71 rounded to 2 decimal places is 0.23.