Question

Use long division to convert 7/11 to a decimal.(1 point)
Responses

7.11
7.11

≈0.63
approximately equals 0.63

63
63

≈1.571428

Answer 1

To convert \( \frac{7}{11} \) to a decimal using long division, we divide 7 by 11.

1. **Set up the division**: 11 cannot go into 7, so we start by considering \( 7.000 \) to account for the decimal.

2. **Divide**:
- 11 goes into 70 six times (since \( 11 \times 6 = 66 \)).
- Write down 6. Now we subtract: \( 70 - 66 = 4 \).

3. **Bring down the next 0**: Now we have 40.
- 11 goes into 40 three times (since \( 11 \times 3 = 33 \)).
- Write down the 3. Now we subtract: \( 40 - 33 = 7 \).

4. **Bring down the next 0**: Now we have 70 again.
- 11 goes into 70 six times (as calculated before).
- Write down the 6 again. Subtract to get 4.

5. **Repeat the process**: We notice that bringing down additional zeros will continue the cycle. The sequence of digits starts repeating every two digits: \( 0.636363... \).

Thus, \( \frac{7}{11} \) as a decimal is approximately \( 0.636363... \).

Based on the given responses, the most appropriate answer is:

**≈0.63** (approximately equals 0.63).