13/27 as a decimal
13/27 as a decimal is 0.481481… (the digits 481 repeat forever), which is 0.48 rounded to 2 decimal places.
Change either number to try your own. The digits 481 repeat. Rounded to 2 places: 0.48. In lowest terms: 13/27.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 13 by the bottom number 27.
- 2
27 does not go into 13 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 481 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{13}{27} = 0.\overline{481} \]
\[ \frac{13}{27} = 13 \div 27 \]Long division of 13 by 27
| Step | Remainder × 10 | Divide by 27 | Remainder left |
|---|---|---|---|
| 1 | 130 | 130 ÷ 27 = 4 | 22 |
| 2 | 220 | 220 ÷ 27 = 8 | 4 |
| 3 | 40 | 40 ÷ 27 = 1 | 13 |
Questions
What is 13/27 as a decimal?
13/27 as a decimal is 0.481481… (the digits 481 repeat forever), which is 0.48 rounded to 2 decimal places.
Is 13/27 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 481 (3 digits) repeats.
What is 13/27 as a percent?
13/27 is 48.148148…% as a percent.
How do I round 13/27 to 2 decimal places?
13/27 rounded to 2 decimal places is 0.48.