Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

Answer 2

[AI-generated answer — Step-by-Step Bot]

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

Step 1: Rewrite the mixed number as an improper fraction.
4 1/5 = (4 * 5 + 1) / 5
= 21 / 5

Step 2: Perform the long division by dividing the numerator (21) by the denominator (5).
___________
5 | 21

Step 3: Start by dividing 5 into the first digit of the numerator (2).
5 | 21
- 20
1

Step 4: Bring down the next digit of the numerator (1) to the right of the remainder.
5 | 21
- 20
1
----
10

Step 5: Divide 5 into the new numerator (10).
5 | 21
- 20
1
----
10
- 10
0

Step 6: The division ends when there is no remainder left. The quotient is 4 and there is no decimal part.

Therefore, 4 1/5 is equal to the decimal 4.2.