7/17 as a decimal
7/17 as a decimal is 0.4117647058823529… (the digits 4117647058823529 repeat forever), which is 0.41 rounded to 2 decimal places.
Change either number to try your own. The digits 4117647058823529 repeat. Rounded to 2 places: 0.41. In lowest terms: 7/17.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 7 by the bottom number 17.
- 2
17 does not go into 7 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 4117647058823529 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{7}{17} = 0.\overline{4117647058823529} \]
\[ \frac{7}{17} = 7 \div 17 \]Long division of 7 by 17
| Step | Remainder × 10 | Divide by 17 | Remainder left |
|---|---|---|---|
| 1 | 70 | 70 ÷ 17 = 4 | 2 |
| 2 | 20 | 20 ÷ 17 = 1 | 3 |
| 3 | 30 | 30 ÷ 17 = 1 | 13 |
| 4 | 130 | 130 ÷ 17 = 7 | 11 |
| 5 | 110 | 110 ÷ 17 = 6 | 8 |
| 6 | 80 | 80 ÷ 17 = 4 | 12 |
| 7 | 120 | 120 ÷ 17 = 7 | 1 |
| 8 | 10 | 10 ÷ 17 = 0 | 10 |
| 9 | 100 | 100 ÷ 17 = 5 | 15 |
| 10 | 150 | 150 ÷ 17 = 8 | 14 |
| 11 | 140 | 140 ÷ 17 = 8 | 4 |
| 12 | 40 | 40 ÷ 17 = 2 | 6 |
Questions
What is 7/17 as a decimal?
7/17 as a decimal is 0.4117647058823529… (the digits 4117647058823529 repeat forever), which is 0.41 rounded to 2 decimal places.
Is 7/17 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 4117647058823529 (16 digits) repeats.
What is 7/17 as a percent?
7/17 is 41.1764705882352941…% as a percent.
How do I round 7/17 to 2 decimal places?
7/17 rounded to 2 decimal places is 0.41.