7/13 as a decimal
7/13 as a decimal is 0.538461… (the digits 538461 repeat forever), which is 0.54 rounded to 2 decimal places.
Change either number to try your own. The digits 538461 repeat. Rounded to 2 places: 0.54. In lowest terms: 7/13.
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 13.
- 2
13 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 13, and write the digit. A remainder comes back after 6 steps, so the digits 538461 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{7}{13} = 0.\overline{538461} \]
\[ \frac{7}{13} = 7 \div 13 \]Long division of 7 by 13
| Step | Remainder × 10 | Divide by 13 | Remainder left |
|---|---|---|---|
| 1 | 70 | 70 ÷ 13 = 5 | 5 |
| 2 | 50 | 50 ÷ 13 = 3 | 11 |
| 3 | 110 | 110 ÷ 13 = 8 | 6 |
| 4 | 60 | 60 ÷ 13 = 4 | 8 |
| 5 | 80 | 80 ÷ 13 = 6 | 2 |
| 6 | 20 | 20 ÷ 13 = 1 | 7 |
Questions
What is 7/13 as a decimal?
7/13 as a decimal is 0.538461… (the digits 538461 repeat forever), which is 0.54 rounded to 2 decimal places.
Is 7/13 a terminating or a repeating decimal?
It repeats. The bottom number 13 = 13 has a prime factor other than 2 and 5, so the division never ends and the block 538461 (6 digits) repeats.
What is 7/13 as a percent?
7/13 is 53.846153…% as a percent.
How do I round 7/13 to 2 decimal places?
7/13 rounded to 2 decimal places is 0.54.