10/37 as a decimal
10/37 as a decimal is 0.270270… (the digits 270 repeat forever), which is 0.27 rounded to 2 decimal places.
Change either number to try your own. The digits 270 repeat. Rounded to 2 places: 0.27. In lowest terms: 10/37.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 10 by the bottom number 37.
- 2
37 does not go into 10 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 270 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{10}{37} = 0.\overline{270} \]
\[ \frac{10}{37} = 10 \div 37 \]Long division of 10 by 37
| Step | Remainder × 10 | Divide by 37 | Remainder left |
|---|---|---|---|
| 1 | 100 | 100 ÷ 37 = 2 | 26 |
| 2 | 260 | 260 ÷ 37 = 7 | 1 |
| 3 | 10 | 10 ÷ 37 = 0 | 10 |
Questions
What is 10/37 as a decimal?
10/37 as a decimal is 0.270270… (the digits 270 repeat forever), which is 0.27 rounded to 2 decimal places.
Is 10/37 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 270 (3 digits) repeats.
What is 10/37 as a percent?
10/37 is 27.027027…% as a percent.
How do I round 10/37 to 2 decimal places?
10/37 rounded to 2 decimal places is 0.27.