35/36 as a decimal
35/36 as a decimal is 0.972222… (the digits 2 repeat forever), which is 0.97 rounded to 2 decimal places.
Change either number to try your own. The digits 2 repeat. Rounded to 2 places: 0.97. In lowest terms: 35/36.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 35 by the bottom number 36.
- 2
36 does not go into 35 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 36, and write the digit. A remainder comes back after 3 steps, so the digits 2 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{35}{36} = 0.97\overline{2} \]
\[ \frac{35}{36} = 35 \div 36 \]Long division of 35 by 36
| Step | Remainder × 10 | Divide by 36 | Remainder left |
|---|---|---|---|
| 1 | 350 | 350 ÷ 36 = 9 | 26 |
| 2 | 260 | 260 ÷ 36 = 7 | 8 |
| 3 | 80 | 80 ÷ 36 = 2 | 8 |
Questions
What is 35/36 as a decimal?
35/36 as a decimal is 0.972222… (the digits 2 repeat forever), which is 0.97 rounded to 2 decimal places.
Is 35/36 a terminating or a repeating decimal?
It repeats. The bottom number 36 = 2 × 2 × 3 × 3 has a prime factor other than 2 and 5, so the division never ends and the block 2 (1 digit) repeats.
What is 35/36 as a percent?
35/36 is 97.222222…% as a percent.
How do I round 35/36 to 2 decimal places?
35/36 rounded to 2 decimal places is 0.97.