13/22 as a decimal
13/22 as a decimal is 0.590909… (the digits 90 repeat forever), which is 0.59 rounded to 2 decimal places.
Change either number to try your own. The digits 90 repeat. Rounded to 2 places: 0.59. In lowest terms: 13/22.
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 22.
- 2
22 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 22, and write the digit. A remainder comes back after 3 steps, so the digits 90 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{13}{22} = 0.5\overline{90} \]
\[ \frac{13}{22} = 13 \div 22 \]Long division of 13 by 22
| Step | Remainder × 10 | Divide by 22 | Remainder left |
|---|---|---|---|
| 1 | 130 | 130 ÷ 22 = 5 | 20 |
| 2 | 200 | 200 ÷ 22 = 9 | 2 |
| 3 | 20 | 20 ÷ 22 = 0 | 20 |
Questions
What is 13/22 as a decimal?
13/22 as a decimal is 0.590909… (the digits 90 repeat forever), which is 0.59 rounded to 2 decimal places.
Is 13/22 a terminating or a repeating decimal?
It repeats. The bottom number 22 = 2 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 90 (2 digits) repeats.
What is 13/22 as a percent?
13/22 is 59.090909…% as a percent.
How do I round 13/22 to 2 decimal places?
13/22 rounded to 2 decimal places is 0.59.