Question

He's long division to convert 13/20 to a decimal

Answer 1

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

1. Set up the division: 13 divided by 20. Since 20 is larger than 13, we start with 0 and a decimal point.

2. Add a decimal point and a zero to 13 to make it 130.

3. Now, divide 130 by 20.
- 20 goes into 130 a total of 6 times (because \( 20 \times 6 = 120 \)).
- Write down 6 after the decimal point.

4. Subtract \( 120 \) from \( 130 \):
\[
130 - 120 = 10
\]

5. Bring down another zero, making it 100.

6. Divide 100 by 20.
- 20 goes into 100 exactly 5 times (since \( 20 \times 5 = 100 \)).
- Write down 5.

7. Subtract \( 100 \) from \( 100 \):
\[
100 - 100 = 0
\]

Since the remainder is now 0, the division is complete.

Thus, \( \frac{13}{20} = 0.65 \).

Therefore, the decimal representation of \( \frac{13}{20} \) is **0.65**.