6/37 as a decimal
6/37 as a decimal is 0.162162… (the digits 162 repeat forever), which is 0.16 rounded to 2 decimal places.
Change either number to try your own. The digits 162 repeat. Rounded to 2 places: 0.16. In lowest terms: 6/37.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 6 by the bottom number 37.
- 2
37 does not go into 6 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 162 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{6}{37} = 0.\overline{162} \]
\[ \frac{6}{37} = 6 \div 37 \]Long division of 6 by 37
| Step | Remainder × 10 | Divide by 37 | Remainder left |
|---|---|---|---|
| 1 | 60 | 60 ÷ 37 = 1 | 23 |
| 2 | 230 | 230 ÷ 37 = 6 | 8 |
| 3 | 80 | 80 ÷ 37 = 2 | 6 |
Questions
What is 6/37 as a decimal?
6/37 as a decimal is 0.162162… (the digits 162 repeat forever), which is 0.16 rounded to 2 decimal places.
Is 6/37 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 162 (3 digits) repeats.
What is 6/37 as a percent?
6/37 is 16.216216…% as a percent.
How do I round 6/37 to 2 decimal places?
6/37 rounded to 2 decimal places is 0.16.