13/17 as a decimal
13/17 as a decimal is 0.7647058823529411… (the digits 7647058823529411 repeat forever), which is 0.76 rounded to 2 decimal places.
Change either number to try your own. The digits 7647058823529411 repeat. Rounded to 2 places: 0.76. In lowest terms: 13/17.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 13 by the bottom number 17.
- 2
17 does not go into 13 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 7647058823529411 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{13}{17} = 0.\overline{7647058823529411} \]
\[ \frac{13}{17} = 13 \div 17 \]Long division of 13 by 17
| Step | Remainder × 10 | Divide by 17 | Remainder left |
|---|---|---|---|
| 1 | 130 | 130 ÷ 17 = 7 | 11 |
| 2 | 110 | 110 ÷ 17 = 6 | 8 |
| 3 | 80 | 80 ÷ 17 = 4 | 12 |
| 4 | 120 | 120 ÷ 17 = 7 | 1 |
| 5 | 10 | 10 ÷ 17 = 0 | 10 |
| 6 | 100 | 100 ÷ 17 = 5 | 15 |
| 7 | 150 | 150 ÷ 17 = 8 | 14 |
| 8 | 140 | 140 ÷ 17 = 8 | 4 |
| 9 | 40 | 40 ÷ 17 = 2 | 6 |
| 10 | 60 | 60 ÷ 17 = 3 | 9 |
| 11 | 90 | 90 ÷ 17 = 5 | 5 |
| 12 | 50 | 50 ÷ 17 = 2 | 16 |
Questions
What is 13/17 as a decimal?
13/17 as a decimal is 0.7647058823529411… (the digits 7647058823529411 repeat forever), which is 0.76 rounded to 2 decimal places.
Is 13/17 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 7647058823529411 (16 digits) repeats.
What is 13/17 as a percent?
13/17 is 76.4705882352941176…% as a percent.
How do I round 13/17 to 2 decimal places?
13/17 rounded to 2 decimal places is 0.76.