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

Question

Responses

63
63

≈0.63
approximately equals 0.63

7.11
7.11

≈1.571428

Answer 1

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

1. 11 doesn’t go into 7, so we write 0.
2. Adding a decimal point, we then bring down a 0 to make it 70.
3. Now, 11 goes into 70 six times, since \( 11 \times 6 = 66 \).
4. We write 6 after the decimal: \( 0.6 \).
5. Subtract 66 from 70, which gives us 4.
6. Bring down another 0, making it 40.
7. 11 goes into 40 three times, since \( 11 \times 3 = 33 \).
8. We write 3 after the 6: \( 0.63 \).
9. Subtract 33 from 40, which gives us 7.
10. Bring down another 0, making it 70 again.

This process will repeat (70, then 66, then 4, then 40, etc.).

Thus, the decimal representation of \( \frac{7}{11} \) is approximately \( 0.636363...\), which is a repeating decimal.

However, from the given responses, the closest answer and the correct approximation is:

≈0.63 approximately equals 0.63.