17/22 as a decimal
17/22 as a decimal is 0.772727… (the digits 72 repeat forever), which is 0.77 rounded to 2 decimal places.
Change either number to try your own. The digits 72 repeat. Rounded to 2 places: 0.77. In lowest terms: 17/22.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 17 by the bottom number 22.
- 2
22 does not go into 17 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 72 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{17}{22} = 0.7\overline{72} \]
\[ \frac{17}{22} = 17 \div 22 \]Long division of 17 by 22
| Step | Remainder × 10 | Divide by 22 | Remainder left |
|---|---|---|---|
| 1 | 170 | 170 ÷ 22 = 7 | 16 |
| 2 | 160 | 160 ÷ 22 = 7 | 6 |
| 3 | 60 | 60 ÷ 22 = 2 | 16 |
Questions
What is 17/22 as a decimal?
17/22 as a decimal is 0.772727… (the digits 72 repeat forever), which is 0.77 rounded to 2 decimal places.
Is 17/22 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 72 (2 digits) repeats.
What is 17/22 as a percent?
17/22 is 77.272727…% as a percent.
How do I round 17/22 to 2 decimal places?
17/22 rounded to 2 decimal places is 0.77.