34/81 as a decimal
34/81 as a decimal is 0.419753086… (the digits 419753086 repeat forever), which is 0.42 rounded to 2 decimal places.
Change either number to try your own. The digits 419753086 repeat. Rounded to 2 places: 0.42. In lowest terms: 34/81.
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 81.
- 2
81 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 81, and write the digit. A remainder comes back after 9 steps, so the digits 419753086 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{34}{81} = 0.\overline{419753086} \]
\[ \frac{34}{81} = 34 \div 81 \]Long division of 34 by 81
| Step | Remainder × 10 | Divide by 81 | Remainder left |
|---|---|---|---|
| 1 | 340 | 340 ÷ 81 = 4 | 16 |
| 2 | 160 | 160 ÷ 81 = 1 | 79 |
| 3 | 790 | 790 ÷ 81 = 9 | 61 |
| 4 | 610 | 610 ÷ 81 = 7 | 43 |
| 5 | 430 | 430 ÷ 81 = 5 | 25 |
| 6 | 250 | 250 ÷ 81 = 3 | 7 |
| 7 | 70 | 70 ÷ 81 = 0 | 70 |
| 8 | 700 | 700 ÷ 81 = 8 | 52 |
| 9 | 520 | 520 ÷ 81 = 6 | 34 |
Questions
What is 34/81 as a decimal?
34/81 as a decimal is 0.419753086… (the digits 419753086 repeat forever), which is 0.42 rounded to 2 decimal places.
Is 34/81 a terminating or a repeating decimal?
It repeats. The bottom number 81 = 3 × 3 × 3 × 3 has a prime factor other than 2 and 5, so the division never ends and the block 419753086 (9 digits) repeats.
What is 34/81 as a percent?
34/81 is 41.975308641…% as a percent.
How do I round 34/81 to 2 decimal places?
34/81 rounded to 2 decimal places is 0.42.