Use long division to convert 11/20 to a decimal.

Answer 1

To convert the fraction \( \frac{11}{20} \) to a decimal using long division, follow these steps:

1. Set up the division: We need to divide 11 by 20. Since 11 is less than 20, we can start with 11.000 (adding decimal points and zeros to continue the division).

2. Perform the division:

   • 20 into 110: 20 goes into 110 five times (because \( 20 \times 5 = 100 \)).
     • Write 5 above the line.
     • Subtract \( 100 \) from \( 110 \), which gives us \( 10 \).
   • Bring down a 0, making it \( 100 \).
   • 20 into 100: 20 goes into 100 five times (again, \( 20 \times 5 = 100 \)).
     • Write another 5 above the line next to the previous 5.
     • Subtract \( 100 \) from \( 100 \), which gives us \( 0 \).

3. Complete the division: Since there are no more digits to bring down and the remainder is 0, we stop here.

Putting it all together, we have: \[ \frac{11}{20} = 0.55 \]

Thus, the decimal representation of \( \frac{11}{20} \) is \( 0.55 \).