3/34 as a decimal
3/34 as a decimal is 0.08823529411764705… (the digits 8823529411764705 repeat forever), which is 0.09 rounded to 2 decimal places.
Change either number to try your own. The digits 8823529411764705 repeat. Rounded to 2 places: 0.09. In lowest terms: 3/34.
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 34.
- 2
34 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 34, and write the digit. A remainder comes back after 17 steps, so the digits 8823529411764705 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{3}{34} = 0.0\overline{8823529411764705} \]
\[ \frac{3}{34} = 3 \div 34 \]Long division of 3 by 34
| Step | Remainder × 10 | Divide by 34 | Remainder left |
|---|---|---|---|
| 1 | 30 | 30 ÷ 34 = 0 | 30 |
| 2 | 300 | 300 ÷ 34 = 8 | 28 |
| 3 | 280 | 280 ÷ 34 = 8 | 8 |
| 4 | 80 | 80 ÷ 34 = 2 | 12 |
| 5 | 120 | 120 ÷ 34 = 3 | 18 |
| 6 | 180 | 180 ÷ 34 = 5 | 10 |
| 7 | 100 | 100 ÷ 34 = 2 | 32 |
| 8 | 320 | 320 ÷ 34 = 9 | 14 |
| 9 | 140 | 140 ÷ 34 = 4 | 4 |
| 10 | 40 | 40 ÷ 34 = 1 | 6 |
| 11 | 60 | 60 ÷ 34 = 1 | 26 |
| 12 | 260 | 260 ÷ 34 = 7 | 22 |
Questions
What is 3/34 as a decimal?
3/34 as a decimal is 0.08823529411764705… (the digits 8823529411764705 repeat forever), which is 0.09 rounded to 2 decimal places.
Is 3/34 a terminating or a repeating decimal?
It repeats. The bottom number 34 = 2 × 17 has a prime factor other than 2 and 5, so the division never ends and the block 8823529411764705 (16 digits) repeats.
What is 3/34 as a percent?
3/34 is 8.8235294117647058…% as a percent.
How do I round 3/34 to 2 decimal places?
3/34 rounded to 2 decimal places is 0.09.