Question

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 \( 0.55 \).