Question

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

1.851
1.851

5.4
5.4

0.54
0.54

27.5

Answer 1

To convert \( \frac{27}{50} \) to a decimal using long division, we divide 27 by 50.

1. **Set up the division:** Since 27 is less than 50, we start with 0 and place a decimal point.
2. **Convert 27 into 270** (by adding a decimal and bringing down a zero):
- 50 goes into 270 five times (since \( 50 \times 5 = 250 \)).
- Write down 5.
- Subtract 250 from 270, which leaves us with 20.
3. **Bring down another 0**, making it 200:
- 50 goes into 200 four times (since \( 50 \times 4 = 200 \)).
- Write down 4.
- Subtract 200 from 200, which leaves us with 0.

Now we have:

\[
\frac{27}{50} = 0.54
\]

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

The correct response is:

**0.54**