Question

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

7.11
7.11

63
63

≈1.571428
approximately equals 1.571428

≈0.63

Answer 1

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

1. First, since 7 is less than 11, we write 0. and add a decimal point and a zero to 7 to make it 70.
2. Next, 11 goes into 70 six times since \( 11 \times 6 = 66 \).
3. Subtract 66 from 70, which gives us a remainder of 4.
4. Bring down another 0, making it 40.
5. 11 goes into 40 three times since \( 11 \times 3 = 33 \).
6. Subtract 33 from 40, which gives us a remainder of 7.
7. Bring down another 0 to make it 70 again, and we are back to the beginning of our calculations.

From the long division, we see the decimal repeats, so:

\[
\frac{7}{11} = 0.\overline{63}
\]

That means that the answer \( \frac{7}{11} \) as a decimal is approximately 0.63 (with the 63 repeating).

Among the responses you provided, the best option is:

≈0.63