6/17 as a decimal
6/17 as a decimal is 0.3529411764705882… (the digits 3529411764705882 repeat forever), which is 0.35 rounded to 2 decimal places.
Change either number to try your own. The digits 3529411764705882 repeat. Rounded to 2 places: 0.35. In lowest terms: 6/17.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 6 by the bottom number 17.
- 2
17 does not go into 6 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 17, and write the digit. A remainder comes back after 16 steps, so the digits 3529411764705882 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{6}{17} = 0.\overline{3529411764705882} \]
\[ \frac{6}{17} = 6 \div 17 \]Long division of 6 by 17
| Step | Remainder × 10 | Divide by 17 | Remainder left |
|---|---|---|---|
| 1 | 60 | 60 ÷ 17 = 3 | 9 |
| 2 | 90 | 90 ÷ 17 = 5 | 5 |
| 3 | 50 | 50 ÷ 17 = 2 | 16 |
| 4 | 160 | 160 ÷ 17 = 9 | 7 |
| 5 | 70 | 70 ÷ 17 = 4 | 2 |
| 6 | 20 | 20 ÷ 17 = 1 | 3 |
| 7 | 30 | 30 ÷ 17 = 1 | 13 |
| 8 | 130 | 130 ÷ 17 = 7 | 11 |
| 9 | 110 | 110 ÷ 17 = 6 | 8 |
| 10 | 80 | 80 ÷ 17 = 4 | 12 |
| 11 | 120 | 120 ÷ 17 = 7 | 1 |
| 12 | 10 | 10 ÷ 17 = 0 | 10 |
Questions
What is 6/17 as a decimal?
6/17 as a decimal is 0.3529411764705882… (the digits 3529411764705882 repeat forever), which is 0.35 rounded to 2 decimal places.
Is 6/17 a terminating or a repeating decimal?
It repeats. The bottom number 17 = 17 has a prime factor other than 2 and 5, so the division never ends and the block 3529411764705882 (16 digits) repeats.
What is 6/17 as a percent?
6/17 is 35.2941176470588235…% as a percent.
How do I round 6/17 to 2 decimal places?
6/17 rounded to 2 decimal places is 0.35.