13/42 as a decimal
13/42 as a decimal is 0.3095238… (the digits 095238 repeat forever), which is 0.31 rounded to 2 decimal places.
Change either number to try your own. The digits 095238 repeat. Rounded to 2 places: 0.31. In lowest terms: 13/42.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 13 by the bottom number 42.
- 2
42 does not go into 13 even once, so the whole part is 0 and we carry on after the decimal point.
- 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 7 steps, so the digits 095238 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{13}{42} = 0.3\overline{095238} \]
\[ \frac{13}{42} = 13 \div 42 \]Long division of 13 by 42
| Step | Remainder × 10 | Divide by 42 | Remainder left |
|---|---|---|---|
| 1 | 130 | 130 ÷ 42 = 3 | 4 |
| 2 | 40 | 40 ÷ 42 = 0 | 40 |
| 3 | 400 | 400 ÷ 42 = 9 | 22 |
| 4 | 220 | 220 ÷ 42 = 5 | 10 |
| 5 | 100 | 100 ÷ 42 = 2 | 16 |
| 6 | 160 | 160 ÷ 42 = 3 | 34 |
| 7 | 340 | 340 ÷ 42 = 8 | 4 |
Questions
What is 13/42 as a decimal?
13/42 as a decimal is 0.3095238… (the digits 095238 repeat forever), which is 0.31 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 095238 (6 digits) repeats.
What is 13/42 as a percent?
13/42 is 30.952380…% as a percent.
How do I round 13/42 to 2 decimal places?
13/42 rounded to 2 decimal places is 0.31.