8/39 as a decimal
8/39 as a decimal is 0.205128… (the digits 205128 repeat forever), which is 0.21 rounded to 2 decimal places.
Change either number to try your own. The digits 205128 repeat. Rounded to 2 places: 0.21. In lowest terms: 8/39.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 8 by the bottom number 39.
- 2
39 does not go into 8 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 39, and write the digit. A remainder comes back after 6 steps, so the digits 205128 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{8}{39} = 0.\overline{205128} \]
\[ \frac{8}{39} = 8 \div 39 \]Long division of 8 by 39
| Step | Remainder × 10 | Divide by 39 | Remainder left |
|---|---|---|---|
| 1 | 80 | 80 ÷ 39 = 2 | 2 |
| 2 | 20 | 20 ÷ 39 = 0 | 20 |
| 3 | 200 | 200 ÷ 39 = 5 | 5 |
| 4 | 50 | 50 ÷ 39 = 1 | 11 |
| 5 | 110 | 110 ÷ 39 = 2 | 32 |
| 6 | 320 | 320 ÷ 39 = 8 | 8 |
Questions
What is 8/39 as a decimal?
8/39 as a decimal is 0.205128… (the digits 205128 repeat forever), which is 0.21 rounded to 2 decimal places.
Is 8/39 a terminating or a repeating decimal?
It repeats. The bottom number 39 = 3 × 13 has a prime factor other than 2 and 5, so the division never ends and the block 205128 (6 digits) repeats.
What is 8/39 as a percent?
8/39 is 20.512820…% as a percent.
How do I round 8/39 to 2 decimal places?
8/39 rounded to 2 decimal places is 0.21.