13/67 as a decimal
13/67 as a decimal is 0.194029850746268656716417910447761… (the digits 194029850746268656716417910447761 repeat forever), which is 0.19 rounded to 2 decimal places.
Change either number to try your own. The digits 194029850746268656716417910447761 repeat. Rounded to 2 places: 0.19. In lowest terms: 13/67.
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 67.
- 2
67 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 67, and write the digit. A remainder comes back after 33 steps, so the digits 194029850746268656716417910447761 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{13}{67} = 0.\overline{194029850746268656716417910447761} \]
\[ \frac{13}{67} = 13 \div 67 \]Long division of 13 by 67
| Step | Remainder × 10 | Divide by 67 | Remainder left |
|---|---|---|---|
| 1 | 130 | 130 ÷ 67 = 1 | 63 |
| 2 | 630 | 630 ÷ 67 = 9 | 27 |
| 3 | 270 | 270 ÷ 67 = 4 | 2 |
| 4 | 20 | 20 ÷ 67 = 0 | 20 |
| 5 | 200 | 200 ÷ 67 = 2 | 66 |
| 6 | 660 | 660 ÷ 67 = 9 | 57 |
| 7 | 570 | 570 ÷ 67 = 8 | 34 |
| 8 | 340 | 340 ÷ 67 = 5 | 5 |
| 9 | 50 | 50 ÷ 67 = 0 | 50 |
| 10 | 500 | 500 ÷ 67 = 7 | 31 |
| 11 | 310 | 310 ÷ 67 = 4 | 42 |
| 12 | 420 | 420 ÷ 67 = 6 | 18 |
Questions
What is 13/67 as a decimal?
13/67 as a decimal is 0.194029850746268656716417910447761… (the digits 194029850746268656716417910447761 repeat forever), which is 0.19 rounded to 2 decimal places.
Is 13/67 a terminating or a repeating decimal?
It repeats. The bottom number 67 = 67 has a prime factor other than 2 and 5, so the division never ends and the block 194029850746268656716417910447761 (33 digits) repeats.
What is 13/67 as a percent?
13/67 is 19.402985074626865671641791044776119…% as a percent.
How do I round 13/67 to 2 decimal places?
13/67 rounded to 2 decimal places is 0.19.