27/73 as a decimal
27/73 as a decimal is 0.36986301… (the digits 36986301 repeat forever), which is 0.37 rounded to 2 decimal places.
Change either number to try your own. The digits 36986301 repeat. Rounded to 2 places: 0.37. In lowest terms: 27/73.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 27 by the bottom number 73.
- 2
73 does not go into 27 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 73, and write the digit. A remainder comes back after 8 steps, so the digits 36986301 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{27}{73} = 0.\overline{36986301} \]
\[ \frac{27}{73} = 27 \div 73 \]Long division of 27 by 73
| Step | Remainder × 10 | Divide by 73 | Remainder left |
|---|---|---|---|
| 1 | 270 | 270 ÷ 73 = 3 | 51 |
| 2 | 510 | 510 ÷ 73 = 6 | 72 |
| 3 | 720 | 720 ÷ 73 = 9 | 63 |
| 4 | 630 | 630 ÷ 73 = 8 | 46 |
| 5 | 460 | 460 ÷ 73 = 6 | 22 |
| 6 | 220 | 220 ÷ 73 = 3 | 1 |
| 7 | 10 | 10 ÷ 73 = 0 | 10 |
| 8 | 100 | 100 ÷ 73 = 1 | 27 |
Questions
What is 27/73 as a decimal?
27/73 as a decimal is 0.36986301… (the digits 36986301 repeat forever), which is 0.37 rounded to 2 decimal places.
Is 27/73 a terminating or a repeating decimal?
It repeats. The bottom number 73 = 73 has a prime factor other than 2 and 5, so the division never ends and the block 36986301 (8 digits) repeats.
What is 27/73 as a percent?
27/73 is 36.98630136…% as a percent.
How do I round 27/73 to 2 decimal places?
27/73 rounded to 2 decimal places is 0.37.