5/13 as a percent
5/13 as a percent is 38.461538…% (the digits 461538 repeat forever), which is 38.46% rounded to 2 decimal places.
Change either number to try your own. The digits 461538 repeat. Rounded to 2 places: 38.46%. In lowest terms: 5/13.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 5/13 × 100 = 500/13. Then divide 500 by 13.
- 2
13 goes into 500 38 times with 6 left over, so the whole part is 38.
- 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 461538 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{5}{13} = 38.\overline{461538}\% \]
\[ \frac{5}{13} \times 100 = \frac{500}{13} \]Long division of 500 by 13
| Step | Remainder × 10 | Divide by 13 | Remainder left |
|---|---|---|---|
| 1 | 60 | 60 ÷ 13 = 4 | 8 |
| 2 | 80 | 80 ÷ 13 = 6 | 2 |
| 3 | 20 | 20 ÷ 13 = 1 | 7 |
| 4 | 70 | 70 ÷ 13 = 5 | 5 |
| 5 | 50 | 50 ÷ 13 = 3 | 11 |
| 6 | 110 | 110 ÷ 13 = 8 | 6 |
Questions
What is 5/13 as a percent?
5/13 as a percent is 38.461538…% (the digits 461538 repeat forever), which is 38.46% rounded to 2 decimal places.
Is 5/13 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 461538 (6 digits) repeats.
What is 5/13 as a decimal?
5/13 is 0.384615… as a decimal.
How do I round 5/13 to 2 decimal places?
5/13 rounded to 2 decimal places is 38.46%.