Question

Use long division to convert 11/20
to a decimal.(1 point)

Answer 1

To convert the fraction \( \frac{11}{20} \) to a decimal using long division, follow these steps:

1. Set it up as \( 11 \div 20 \).
2. Since 11 is less than 20, place a decimal point and add a zero to 11, making it 110.
3. Now, divide 110 by 20.

Here's the long division process:

- How many times does 20 go into 110? It goes 5 times (because \( 20 \times 5 = 100 \)).
- Write 5 above the division line.
- Subtract \( 100 \) from \( 110 \), which leaves \( 10 \).
- Bring down another 0, making it 100.
- Repeat: How many times does 20 go into 100? It goes 5 times again.
- Write another 5 above the division line.
- Subtract \( 100 \) from \( 100 \), which leaves \( 0 \).

Since there is no remainder, we stop here.

Thus, \( \frac{11}{20} = 0.55 \).

The decimal representation of \( \frac{11}{20} \) is \( 0.55 \).