13/42 as a percent
13/42 as a percent is 30.952380…% (the digits 952380 repeat forever), which is 30.95% rounded to 2 decimal places.
Change either number to try your own. The digits 952380 repeat. Rounded to 2 places: 30.95%. In lowest terms: 13/42.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 13/42 × 100 = 1300/42. Then divide 1300 by 42.
- 2
42 goes into 1300 30 times with 40 left over, so the whole part is 30.
- 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 952380 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{13}{42} = 30.\overline{952380}\% \]
\[ \frac{13}{42} \times 100 = \frac{1300}{42} \]Long division of 1300 by 42
| Step | Remainder × 10 | Divide by 42 | Remainder left |
|---|---|---|---|
| 1 | 400 | 400 ÷ 42 = 9 | 22 |
| 2 | 220 | 220 ÷ 42 = 5 | 10 |
| 3 | 100 | 100 ÷ 42 = 2 | 16 |
| 4 | 160 | 160 ÷ 42 = 3 | 34 |
| 5 | 340 | 340 ÷ 42 = 8 | 4 |
| 6 | 40 | 40 ÷ 42 = 0 | 40 |
Questions
What is 13/42 as a percent?
13/42 as a percent is 30.952380…% (the digits 952380 repeat forever), which is 30.95% rounded to 2 decimal places.
Is 13/42 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 952380 (6 digits) repeats.
What is 13/42 as a decimal?
13/42 is 0.3095238… as a decimal.
How do I round 13/42 to 2 decimal places?
13/42 rounded to 2 decimal places is 30.95%.