4/37 as a decimal
4/37 as a decimal is 0.108108… (the digits 108 repeat forever), which is 0.11 rounded to 2 decimal places.
Change either number to try your own. The digits 108 repeat. Rounded to 2 places: 0.11. In lowest terms: 4/37.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 4 by the bottom number 37.
- 2
37 does not go into 4 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 108 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{4}{37} = 0.\overline{108} \]
\[ \frac{4}{37} = 4 \div 37 \]Long division of 4 by 37
| Step | Remainder × 10 | Divide by 37 | Remainder left |
|---|---|---|---|
| 1 | 40 | 40 ÷ 37 = 1 | 3 |
| 2 | 30 | 30 ÷ 37 = 0 | 30 |
| 3 | 300 | 300 ÷ 37 = 8 | 4 |
Questions
What is 4/37 as a decimal?
4/37 as a decimal is 0.108108… (the digits 108 repeat forever), which is 0.11 rounded to 2 decimal places.
Is 4/37 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 108 (3 digits) repeats.
What is 4/37 as a percent?
4/37 is 10.810810…% as a percent.
How do I round 4/37 to 2 decimal places?
4/37 rounded to 2 decimal places is 0.11.