33/85 as a decimal
33/85 as a decimal is 0.38823529411764705… (the digits 8823529411764705 repeat forever), which is 0.39 rounded to 2 decimal places.
Change either number to try your own. The digits 8823529411764705 repeat. Rounded to 2 places: 0.39. In lowest terms: 33/85.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 33 by the bottom number 85.
- 2
85 does not go into 33 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 85, and write the digit. A remainder comes back after 17 steps, so the digits 8823529411764705 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{33}{85} = 0.3\overline{8823529411764705} \]
\[ \frac{33}{85} = 33 \div 85 \]Long division of 33 by 85
| Step | Remainder × 10 | Divide by 85 | Remainder left |
|---|---|---|---|
| 1 | 330 | 330 ÷ 85 = 3 | 75 |
| 2 | 750 | 750 ÷ 85 = 8 | 70 |
| 3 | 700 | 700 ÷ 85 = 8 | 20 |
| 4 | 200 | 200 ÷ 85 = 2 | 30 |
| 5 | 300 | 300 ÷ 85 = 3 | 45 |
| 6 | 450 | 450 ÷ 85 = 5 | 25 |
| 7 | 250 | 250 ÷ 85 = 2 | 80 |
| 8 | 800 | 800 ÷ 85 = 9 | 35 |
| 9 | 350 | 350 ÷ 85 = 4 | 10 |
| 10 | 100 | 100 ÷ 85 = 1 | 15 |
| 11 | 150 | 150 ÷ 85 = 1 | 65 |
| 12 | 650 | 650 ÷ 85 = 7 | 55 |
Questions
What is 33/85 as a decimal?
33/85 as a decimal is 0.38823529411764705… (the digits 8823529411764705 repeat forever), which is 0.39 rounded to 2 decimal places.
Is 33/85 a terminating or a repeating decimal?
It repeats. The bottom number 85 = 5 × 17 has a prime factor other than 2 and 5, so the division never ends and the block 8823529411764705 (16 digits) repeats.
What is 33/85 as a percent?
33/85 is 38.8235294117647058…% as a percent.
How do I round 33/85 to 2 decimal places?
33/85 rounded to 2 decimal places is 0.39.