Question

Use long division to convert 13/20
to a decimal.(1 point)

Answer 1

To convert the fraction \( \frac{13}{20} \) to a decimal using long division, follow these steps:

1. **Set Up the Division**: You will divide 13 by 20. Since 13 is less than 20, we will treat it as 13.000 (adding decimal places).

2. **Divide**:
- 20 goes into 130 (the first three digits of 13.000) a total of 6 times because:
\( 20 \times 6 = 120 \)
- Write 6 above the division line.

3. **Subtract**:
- Subtract 120 from 130:
\( 130 - 120 = 10 \)

4. **Bring Down**:
- Bring down the next 0, making it 100.

5. **Divide Again**:
- 20 goes into 100 a total of 5 times because:
\( 20 \times 5 = 100 \)
- Write 5 above the division line next to 6.

6. **Subtract Again**:
- Subtract 100 from 100:
\( 100 - 100 = 0 \)

Now that there is no remainder, the decimal representation of \( \frac{13}{20} \) is:

\[
0.65
\]

So, \( \frac{13}{20} = 0.65 \) as the decimal representation.