21/22 as a decimal
21/22 as a decimal is 0.954545… (the digits 54 repeat forever), which is 0.95 rounded to 2 decimal places.
Change either number to try your own. The digits 54 repeat. Rounded to 2 places: 0.95. In lowest terms: 21/22.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 21 by the bottom number 22.
- 2
22 does not go into 21 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 54 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{21}{22} = 0.9\overline{54} \]
\[ \frac{21}{22} = 21 \div 22 \]Long division of 21 by 22
| Step | Remainder × 10 | Divide by 22 | Remainder left |
|---|---|---|---|
| 1 | 210 | 210 ÷ 22 = 9 | 12 |
| 2 | 120 | 120 ÷ 22 = 5 | 10 |
| 3 | 100 | 100 ÷ 22 = 4 | 12 |
Questions
What is 21/22 as a decimal?
21/22 as a decimal is 0.954545… (the digits 54 repeat forever), which is 0.95 rounded to 2 decimal places.
Is 21/22 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 54 (2 digits) repeats.
What is 21/22 as a percent?
21/22 is 95.454545…% as a percent.
How do I round 21/22 to 2 decimal places?
21/22 rounded to 2 decimal places is 0.95.