1/34 as a decimal
1/34 as a decimal is 0.02941176470588235… (the digits 2941176470588235 repeat forever), which is 0.03 rounded to 2 decimal places.
Change either number to try your own. The digits 2941176470588235 repeat. Rounded to 2 places: 0.03. In lowest terms: 1/34.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 1 by the bottom number 34.
- 2
34 does not go into 1 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 2941176470588235 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{1}{34} = 0.0\overline{2941176470588235} \]
\[ \frac{1}{34} = 1 \div 34 \]Long division of 1 by 34
| Step | Remainder × 10 | Divide by 34 | Remainder left |
|---|---|---|---|
| 1 | 10 | 10 ÷ 34 = 0 | 10 |
| 2 | 100 | 100 ÷ 34 = 2 | 32 |
| 3 | 320 | 320 ÷ 34 = 9 | 14 |
| 4 | 140 | 140 ÷ 34 = 4 | 4 |
| 5 | 40 | 40 ÷ 34 = 1 | 6 |
| 6 | 60 | 60 ÷ 34 = 1 | 26 |
| 7 | 260 | 260 ÷ 34 = 7 | 22 |
| 8 | 220 | 220 ÷ 34 = 6 | 16 |
| 9 | 160 | 160 ÷ 34 = 4 | 24 |
| 10 | 240 | 240 ÷ 34 = 7 | 2 |
| 11 | 20 | 20 ÷ 34 = 0 | 20 |
| 12 | 200 | 200 ÷ 34 = 5 | 30 |
Questions
What is 1/34 as a decimal?
1/34 as a decimal is 0.02941176470588235… (the digits 2941176470588235 repeat forever), which is 0.03 rounded to 2 decimal places.
Is 1/34 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 2941176470588235 (16 digits) repeats.
What is 1/34 as a percent?
1/34 is 2.9411764705882352…% as a percent.
How do I round 1/34 to 2 decimal places?
1/34 rounded to 2 decimal places is 0.03.