8/27 as a decimal
8/27 as a decimal is 0.296296… (the digits 296 repeat forever), which is 0.30 rounded to 2 decimal places.
Change either number to try your own. The digits 296 repeat. Rounded to 2 places: 0.30. In lowest terms: 8/27.
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 27.
- 2
27 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 27, and write the digit. A remainder comes back after 3 steps, so the digits 296 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{8}{27} = 0.\overline{296} \]
\[ \frac{8}{27} = 8 \div 27 \]Long division of 8 by 27
| Step | Remainder × 10 | Divide by 27 | Remainder left |
|---|---|---|---|
| 1 | 80 | 80 ÷ 27 = 2 | 26 |
| 2 | 260 | 260 ÷ 27 = 9 | 17 |
| 3 | 170 | 170 ÷ 27 = 6 | 8 |
Questions
What is 8/27 as a decimal?
8/27 as a decimal is 0.296296… (the digits 296 repeat forever), which is 0.30 rounded to 2 decimal places.
Is 8/27 a terminating or a repeating decimal?
It repeats. The bottom number 27 = 3 × 3 × 3 has a prime factor other than 2 and 5, so the division never ends and the block 296 (3 digits) repeats.
What is 8/27 as a percent?
8/27 is 29.629629…% as a percent.
How do I round 8/27 to 2 decimal places?
8/27 rounded to 2 decimal places is 0.30.