Question

Use long division to convert 27/50 to a decimal.(1 point)
Responses

0.54
0.54

5.4
5.4

1.851
1.851

27.5

__

Answer 1

To convert \( \frac{27}{50} \) to a decimal using long division, we can set it up like this:

1. **Set up the long division**: 27 (the dividend) is divided by 50 (the divisor).

2. Since 27 is less than 50, we need to add a decimal point and zeros to continue the division. We can write it as \( 27.00 \).

3. Now, we are dividing 50 into 270:
- 50 goes into 270 five times (since \( 50 \times 5 = 250 \)).
- Write 5 above the division line.
- Subtract 250 from 270, which leaves us with 20.

4. Bring down the next zero (from 27.00), which gives us 200.

5. Now divide 50 into 200:
- 50 goes into 200 four times (since \( 50 \times 4 = 200 \)).
- Write 4 above the division line.
- Subtract 200 from 200, which gives us 0.

So, the long division gives us \( 0.54 \).

Thus, the decimal representation of \( \frac{27}{50} \) is \( 0.54 \).

The correct response is: **0.54**.