Use long division to convert 13/20

Question

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.