To convert the fraction 2/9 to a decimal using long division, follow the steps below:
1. Start by writing the fraction 2/9 as a division problem: 2 รท 9.
2. Perform long division by dividing 2 by 9. Write 0.2 as the quotient above the division bar.
```
0.2
โโโโโโ
9) 2.0
1-
โ
10
9-
โ
10
9-
โ
1
```
3. Next, bring down the 0 from the dividend (2.0) and place it after the 1 in the quotient.
```
0.2
โโโโโโ
9) 2.0
1-
โ
10
9-
โ
10
9-
โ
10
9-
โโ
1
```
4. Continue the long division process by repeating step 2. Divide 10 by 9, which gives 1. Write this value as the next decimal place in the quotient, after the previously calculated decimal place of 0.2.
```
0.22
โโโโโโโ
9) 2.00
1.8-
โโโ
20
18-
โโโ
20
18-
โโโ
20
18-
โโโ
20
18-
โโโ
20
18-
โโโ
2
```
5. The division process continues and repeats indefinitely, as 2 รท 9 results in a remainder of 2. To obtain the required approximation with one decimal place, stop at this point.
Therefore, the fraction 2/9 as a decimal approximation with one decimal place is 0.2.