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

Responses

63
63

≈0.63
approximately equals 0.63

≈1.571428
approximately equals 1.571428

7.11

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To convert \( \frac{7}{11} \) to a decimal using long division, follow these steps:

1. Set up the long division with 7 as the dividend and 11 as the divisor.
2. Since 7 is less than 11, we note that 11 goes into 7 zero times. We write 0 and place a decimal point in the quotient.
3. Add a decimal point to the dividend and bring down a zero, making it 70.
4. Now, divide 70 by 11. 11 goes into 70 six times (since \( 11 \times 6 = 66 \)).
5. Write 6 in the quotient after the decimal point. Subtract 66 from 70, which gives a remainder of 4.
6. Bring down another zero, making it 40.
7. Now, divide 40 by 11. 11 goes into 40 three times (since \( 11 \times 3 = 33 \)).
8. Write 3 in the quotient. Subtract 33 from 40, which gives a remainder of 7.
9. Bring down another zero, making it 70 again. Repeat steps 4 to 8.

This process will show that the decimal representation of \( \frac{7}{11} \) is \( 0.636363...\), which can be written as \( 0.\overline{63} \).

If you round it to two decimal places, the answer is approximately \( 0.63 \).

Therefore, the correct response is:

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