34/71 as a decimal
34/71 as a decimal is 0.47887323943661971830985915492957746… (the digits 47887323943661971830985915492957746 repeat forever), which is 0.48 rounded to 2 decimal places.
Change either number to try your own. The digits 47887323943661971830985915492957746 repeat. Rounded to 2 places: 0.48. In lowest terms: 34/71.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 34 by the bottom number 71.
- 2
71 does not go into 34 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 47887323943661971830985915492957746 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{34}{71} = 0.\overline{47887323943661971830985915492957746} \]
\[ \frac{34}{71} = 34 \div 71 \]Long division of 34 by 71
| Step | Remainder × 10 | Divide by 71 | Remainder left |
|---|---|---|---|
| 1 | 340 | 340 ÷ 71 = 4 | 56 |
| 2 | 560 | 560 ÷ 71 = 7 | 63 |
| 3 | 630 | 630 ÷ 71 = 8 | 62 |
| 4 | 620 | 620 ÷ 71 = 8 | 52 |
| 5 | 520 | 520 ÷ 71 = 7 | 23 |
| 6 | 230 | 230 ÷ 71 = 3 | 17 |
| 7 | 170 | 170 ÷ 71 = 2 | 28 |
| 8 | 280 | 280 ÷ 71 = 3 | 67 |
| 9 | 670 | 670 ÷ 71 = 9 | 31 |
| 10 | 310 | 310 ÷ 71 = 4 | 26 |
| 11 | 260 | 260 ÷ 71 = 3 | 47 |
| 12 | 470 | 470 ÷ 71 = 6 | 44 |
Questions
What is 34/71 as a decimal?
34/71 as a decimal is 0.47887323943661971830985915492957746… (the digits 47887323943661971830985915492957746 repeat forever), which is 0.48 rounded to 2 decimal places.
Is 34/71 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 47887323943661971830985915492957746 (35 digits) repeats.
What is 34/71 as a percent?
34/71 is 47.88732394366197183098591549295774647…% as a percent.
How do I round 34/71 to 2 decimal places?
34/71 rounded to 2 decimal places is 0.48.