13/38 as a decimal
13/38 as a decimal is 0.3421052631578947368… (the digits 421052631578947368 repeat forever), which is 0.34 rounded to 2 decimal places.
Change either number to try your own. The digits 421052631578947368 repeat. Rounded to 2 places: 0.34. In lowest terms: 13/38.
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 38.
- 2
38 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 38, and write the digit. A remainder comes back after 19 steps, so the digits 421052631578947368 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{13}{38} = 0.3\overline{421052631578947368} \]
\[ \frac{13}{38} = 13 \div 38 \]Long division of 13 by 38
| Step | Remainder × 10 | Divide by 38 | Remainder left |
|---|---|---|---|
| 1 | 130 | 130 ÷ 38 = 3 | 16 |
| 2 | 160 | 160 ÷ 38 = 4 | 8 |
| 3 | 80 | 80 ÷ 38 = 2 | 4 |
| 4 | 40 | 40 ÷ 38 = 1 | 2 |
| 5 | 20 | 20 ÷ 38 = 0 | 20 |
| 6 | 200 | 200 ÷ 38 = 5 | 10 |
| 7 | 100 | 100 ÷ 38 = 2 | 24 |
| 8 | 240 | 240 ÷ 38 = 6 | 12 |
| 9 | 120 | 120 ÷ 38 = 3 | 6 |
| 10 | 60 | 60 ÷ 38 = 1 | 22 |
| 11 | 220 | 220 ÷ 38 = 5 | 30 |
| 12 | 300 | 300 ÷ 38 = 7 | 34 |
Questions
What is 13/38 as a decimal?
13/38 as a decimal is 0.3421052631578947368… (the digits 421052631578947368 repeat forever), which is 0.34 rounded to 2 decimal places.
Is 13/38 a terminating or a repeating decimal?
It repeats. The bottom number 38 = 2 × 19 has a prime factor other than 2 and 5, so the division never ends and the block 421052631578947368 (18 digits) repeats.
What is 13/38 as a percent?
13/38 is 34.210526315789473684…% as a percent.
How do I round 13/38 to 2 decimal places?
13/38 rounded to 2 decimal places is 0.34.