13/37 as a decimal
13/37 as a decimal is 0.351351… (the digits 351 repeat forever), which is 0.35 rounded to 2 decimal places.
Change either number to try your own. The digits 351 repeat. Rounded to 2 places: 0.35. In lowest terms: 13/37.
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 37.
- 2
37 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 37, and write the digit. A remainder comes back after 3 steps, so the digits 351 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{13}{37} = 0.\overline{351} \]
\[ \frac{13}{37} = 13 \div 37 \]Long division of 13 by 37
| Step | Remainder × 10 | Divide by 37 | Remainder left |
|---|---|---|---|
| 1 | 130 | 130 ÷ 37 = 3 | 19 |
| 2 | 190 | 190 ÷ 37 = 5 | 5 |
| 3 | 50 | 50 ÷ 37 = 1 | 13 |
Questions
What is 13/37 as a decimal?
13/37 as a decimal is 0.351351… (the digits 351 repeat forever), which is 0.35 rounded to 2 decimal places.
Is 13/37 a terminating or a repeating decimal?
It repeats. The bottom number 37 = 37 has a prime factor other than 2 and 5, so the division never ends and the block 351 (3 digits) repeats.
What is 13/37 as a percent?
13/37 is 35.135135…% as a percent.
How do I round 13/37 to 2 decimal places?
13/37 rounded to 2 decimal places is 0.35.