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

Question

Responses

≈1.571428
approximately equals 1.571428

7.11
7.11

63
63

≈0.63

Answer 1

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

1. Since 7 is less than 11, we add a decimal point and append zeros. So we write 7.000...
2. 11 goes into 70 six times (6 x 11 = 66).
3. Subtract 66 from 70, which gives you 4. Bring down the next 0 to make it 40.
4. 11 goes into 40 three times (3 x 11 = 33).
5. Subtract 33 from 40, which gives you 7. Bring down the next 0 to make it 70 again.
6. Repeat the above steps.

The division results in the decimal repeating as \( 0.636363... \)

Thus, \( \frac{7}{11} \) as a decimal is approximately \( 0.636363... \), which can be simplified to \( \approx 0.636 \) (or \( 0.\overline{63} \) since the "63" repeats).

None of the provided responses exactly match, but the closest choice is:

≈0.63