10/13 as a decimal and percent
10/13 = 0.769230769230… (the line marks the digits that repeat; rounded to 4 places it's 0.7692). As a percent: 76.92% (rounded).
Long division: 10 ÷ 13
| Divide | Digit | Remainder |
|---|---|---|
| 100 ÷ 13 | 7 | 9 |
| 90 ÷ 13 | 6 | 12 |
| 120 ÷ 13 | 9 | 3 |
| 30 ÷ 13 | 2 | 4 |
| 40 ÷ 13 | 3 | 1 |
| 10 ÷ 13 | 0 | 10 |
Remainder 10 came back, so the digits repeat from there.
Equivalent fractions
10/13 = 20/26 = 30/39 = 40/52 = 50/65. Every one of these has the same decimal value, 0.(769230).
Convert any other fraction with the fraction to decimal converter, go the other way with decimal to fraction, or compare common fractions side by side in the fraction chart.
Questions people ask
What is 10/13 as a decimal?
10/13 = 10 ÷ 13 = 0.769230769230… — the digits 769230 repeat forever, so it is usually rounded to 0.7692.
What is 10/13 as a percent?
Multiply the decimal by 100: 10/13 = about 76.92%.
Is 10/13 a terminating or repeating decimal?
Repeating. Its denominator, 13, has the prime factor 13, which does not divide any power of 10, so the remainders cycle. The repeating block is "769230" (6 digits).