34/83 as a decimal
34/83 as a decimal is 0.40963855421686746987951807228915662650602… (the digits 40963855421686746987951807228915662650602 repeat forever), which is 0.41 rounded to 2 decimal places.
Change either number to try your own. The digits 40963855421686746987951807228915662650602 repeat. Rounded to 2 places: 0.41. In lowest terms: 34/83.
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 83.
- 2
83 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 83, and write the digit. A remainder comes back after 41 steps, so the digits 40963855421686746987951807228915662650602 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{34}{83} = 0.\overline{40963855421686746987951807228915662650602} \]
\[ \frac{34}{83} = 34 \div 83 \]Long division of 34 by 83
| Step | Remainder × 10 | Divide by 83 | Remainder left |
|---|---|---|---|
| 1 | 340 | 340 ÷ 83 = 4 | 8 |
| 2 | 80 | 80 ÷ 83 = 0 | 80 |
| 3 | 800 | 800 ÷ 83 = 9 | 53 |
| 4 | 530 | 530 ÷ 83 = 6 | 32 |
| 5 | 320 | 320 ÷ 83 = 3 | 71 |
| 6 | 710 | 710 ÷ 83 = 8 | 46 |
| 7 | 460 | 460 ÷ 83 = 5 | 45 |
| 8 | 450 | 450 ÷ 83 = 5 | 35 |
| 9 | 350 | 350 ÷ 83 = 4 | 18 |
| 10 | 180 | 180 ÷ 83 = 2 | 14 |
| 11 | 140 | 140 ÷ 83 = 1 | 57 |
| 12 | 570 | 570 ÷ 83 = 6 | 72 |
Questions
What is 34/83 as a decimal?
34/83 as a decimal is 0.40963855421686746987951807228915662650602… (the digits 40963855421686746987951807228915662650602 repeat forever), which is 0.41 rounded to 2 decimal places.
Is 34/83 a terminating or a repeating decimal?
It repeats. The bottom number 83 = 83 has a prime factor other than 2 and 5, so the division never ends and the block 40963855421686746987951807228915662650602 (41 digits) repeats.
What is 34/83 as a percent?
34/83 is 40.96385542168674698795180722891566265060240…% as a percent.
How do I round 34/83 to 2 decimal places?
34/83 rounded to 2 decimal places is 0.41.