(11) Macy uses long division to convert -(7)/(9) to a decimal. Use Macy's long division to choose the correct decimal form of -(7)/(9) 0.777 0.overline (7) -0.overline (7) (8.78)/(12.998) -(9)/(20) -(8)/(8)(8)/(8) -(3)/(2)0 -8(1)/(2) -0.777

To convert $-\frac{7}{9}$ to a decimal using long division, we need to divide -7 by 9.<br /><br />Step 1: Set up the long division problem by placing -7 inside the division bracket and 9 outside.<br /><br />Step 2: Since 9 does not go into 7, we add a decimal point and a zero to the right of 7, making it 70.<br /><br />Step 3: Determine how many times 9 goes into 70. It goes 7 times, so we write 7 above the division bracket.<br /><br />Step 4: Multiply 9 by 7, which equals 63. Write this product below 70.<br /><br />Step 5: Subtract 63 from 70, which equals 7. Write this result below the division bracket.<br /><br />Step 6: Bring down another zero to the right of 7, making it 70 again.<br /><br />Step 7: Repeat steps 3-5 until the remainder is 0 or the decimal repeats.<br /><br />The correct decimal form of $-\frac{7}{9}$ is $-0.\overline{7}$.<br /><br />Answer: $-0.\overline{7}$