Use long division to convert 4 1/5 to a decimal.

Answer 1

To convert 4 1/5 to a decimal using long division, follow these steps:

1. Write 4 1/5 as a fraction: 4 1/5 = (4 × 5 + 1)/5 = 21/5
2. Set up the long division equation: Place the dividend (21) inside the division bracket and the divisor (5) outside the bracket.
```
4.2
−–––––
5 | 21
```
3. Divide the first digit of the dividend (2) by the divisor (5). The result is 0.4, which becomes the first decimal digit.
```
4.2
−–––––
5 | 21
20
−–––
1
```
4. Bring down the next digit of the dividend (1) to the right of the remainder (1).
```
4.2
−–––––
5 | 21
20
−–––
1
10
```
5. Divide the new dividend (10) by the divisor (5). The result is 2, which becomes the second decimal digit.
```
4.2
−–––––
5 | 21
20
−–––
1
10
−–––
0
```
6. The remainder is 0, indicating that the division is complete.
7. Write the final result as a decimal: 4 1/5 = 4.2