36/37 as a decimal
36/37 as a decimal is 0.972972… (the digits 972 repeat forever), which is 0.97 rounded to 2 decimal places.
Change either number to try your own. The digits 972 repeat. Rounded to 2 places: 0.97. In lowest terms: 36/37.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 36 by the bottom number 37.
- 2
37 does not go into 36 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 972 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{36}{37} = 0.\overline{972} \]
\[ \frac{36}{37} = 36 \div 37 \]Long division of 36 by 37
| Step | Remainder × 10 | Divide by 37 | Remainder left |
|---|---|---|---|
| 1 | 360 | 360 ÷ 37 = 9 | 27 |
| 2 | 270 | 270 ÷ 37 = 7 | 11 |
| 3 | 110 | 110 ÷ 37 = 2 | 36 |
Questions
What is 36/37 as a decimal?
36/37 as a decimal is 0.972972… (the digits 972 repeat forever), which is 0.97 rounded to 2 decimal places.
Is 36/37 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 972 (3 digits) repeats.
What is 36/37 as a percent?
36/37 is 97.297297…% as a percent.
How do I round 36/37 to 2 decimal places?
36/37 rounded to 2 decimal places is 0.97.