11/42 as a percent
11/42 as a percent is 26.190476…% (the digits 190476 repeat forever), which is 26.19% rounded to 2 decimal places.
Change either number to try your own. The digits 190476 repeat. Rounded to 2 places: 26.19%. In lowest terms: 11/42.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 11/42 × 100 = 1100/42. Then divide 1100 by 42.
- 2
42 goes into 1100 26 times with 8 left over, so the whole part is 26.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 42, and write the digit. A remainder comes back after 6 steps, so the digits 190476 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{11}{42} = 26.\overline{190476}\% \]
\[ \frac{11}{42} \times 100 = \frac{1100}{42} \]Long division of 1100 by 42
| Step | Remainder × 10 | Divide by 42 | Remainder left |
|---|---|---|---|
| 1 | 80 | 80 ÷ 42 = 1 | 38 |
| 2 | 380 | 380 ÷ 42 = 9 | 2 |
| 3 | 20 | 20 ÷ 42 = 0 | 20 |
| 4 | 200 | 200 ÷ 42 = 4 | 32 |
| 5 | 320 | 320 ÷ 42 = 7 | 26 |
| 6 | 260 | 260 ÷ 42 = 6 | 8 |
Questions
What is 11/42 as a percent?
11/42 as a percent is 26.190476…% (the digits 190476 repeat forever), which is 26.19% rounded to 2 decimal places.
Is 11/42 a terminating or a repeating decimal?
It repeats. The bottom number 42 = 2 × 3 × 7 has a prime factor other than 2 and 5, so the division never ends and the block 190476 (6 digits) repeats.
What is 11/42 as a decimal?
11/42 is 0.2619047… as a decimal.
How do I round 11/42 to 2 decimal places?
11/42 rounded to 2 decimal places is 26.19%.