11/26 as a percent
11/26 as a percent is 42.307692…% (the digits 307692 repeat forever), which is 42.31% rounded to 2 decimal places.
Change either number to try your own. The digits 307692 repeat. Rounded to 2 places: 42.31%. In lowest terms: 11/26.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 11/26 × 100 = 1100/26. Then divide 1100 by 26.
- 2
26 goes into 1100 42 times with 8 left over, so the whole part is 42.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 26, and write the digit. A remainder comes back after 6 steps, so the digits 307692 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{11}{26} = 42.\overline{307692}\% \]
\[ \frac{11}{26} \times 100 = \frac{1100}{26} \]Long division of 1100 by 26
| Step | Remainder × 10 | Divide by 26 | Remainder left |
|---|---|---|---|
| 1 | 80 | 80 ÷ 26 = 3 | 2 |
| 2 | 20 | 20 ÷ 26 = 0 | 20 |
| 3 | 200 | 200 ÷ 26 = 7 | 18 |
| 4 | 180 | 180 ÷ 26 = 6 | 24 |
| 5 | 240 | 240 ÷ 26 = 9 | 6 |
| 6 | 60 | 60 ÷ 26 = 2 | 8 |
Questions
What is 11/26 as a percent?
11/26 as a percent is 42.307692…% (the digits 307692 repeat forever), which is 42.31% rounded to 2 decimal places.
Is 11/26 a terminating or a repeating decimal?
It repeats. The bottom number 26 = 2 × 13 has a prime factor other than 2 and 5, so the division never ends and the block 307692 (6 digits) repeats.
What is 11/26 as a decimal?
11/26 is 0.4230769… as a decimal.
How do I round 11/26 to 2 decimal places?
11/26 rounded to 2 decimal places is 42.31%.