Question

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

5.4
5.4

0.54
0.54

1.851
1.851

27.5

Answer 1

To convert \( \frac{27}{50} \) to a decimal using long division, follow these steps:

1. **Set up the long division**: 27 is the dividend (inside the division symbol) and 50 is the divisor (outside the division symbol).

2. **Determine how many times 50 fits into 27**: It doesn't fit at all, so we write 0 and add a decimal point and a zero to 27 (making it 270).

3. **Now, determine how many times 50 fits into 270**:
- 50 goes into 270 five times (since \( 50 \times 5 = 250 \)).
- Write 5 above the line.
- Subtract 250 from 270, which gives you 20.

4. **Bring down another zero** (making it 200).
- Now determine how many times 50 fits into 200:
- 50 fits into 200 four times (since \( 50 \times 4 = 200 \)).
- Write 4 above the line, next to the 5.
- Subtract 200 from 200, which gives you 0.

Since there are no more digits to bring down and we have reached a remainder of 0, the long division process is complete.

Thus, \( \frac{27}{50} = 0.54 \).

The correct response is **0.54**.