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: We want to divide 13 by 20. Since 13 is less than 20, we know that our decimal will start with 0.000. We'll actually be dividing 130 by adding a decimal point and a zero.

     0.650
   _________
20 | 13.000
     - 0

2. Divide:
   • 20 goes into 130 six times (because \( 20 \times 6 = 120 \)).
   • Write the 6 above the division bar.

     0.6
   _________
20 | 13.000
     - 120
     -------

3. Subtract:
   • Subtract 120 from 130, which gives us 10.

     0.6
   _________
20 | 13.000
     - 120
     -------
       10

4. Bring Down the Next Digit:
   • Bring down the next 0 (making it 100).

     0.6
   _________
20 | 13.000
     - 120
     -------
       100

5. Divide Again:
   • 20 goes into 100 five times (because \( 20 \times 5 = 100 \)).
   • Write the 5 above the division bar next to the 6.

     0.65
   _________
20 | 13.000
     - 120
     -------
       100
     - 100
     -------
         0

6. Subtract Again:
   • Subtract 100 from 100, which gives us 0.

At this point, there are no more numbers to bring down, and we reached a remainder of 0. Therefore, the division is complete.

Thus, \( \frac{13}{20} \) as a decimal is:

\[ 0.65 \]