Question

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

1.851
1.851

27.5
27.5

0.54
0.54

5.4

Answer 1

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

1. Set up the long division: Divide 27 by 50.
2. Since 50 does not go into 27 (27 is less than 50), we write 0 with a decimal point.
3. To continue the division, we can add a decimal and a zero to 27, making it 270.
4. Now, divide 270 by 50.
- 50 goes into 270 five times (since \( 50 \times 5 = 250 \)).
- Write 5 in the decimal place.
- Subtract 250 from 270, which gives you 20.
5. Bring down another 0, making it 200.
6. Now, divide 200 by 50.
- 50 goes into 200 four times (since \( 50 \times 4 = 200 \)).
- Write 4 next to the 5.
- Subtract 200 from 200, which gives you 0, indicating there are no more numbers to bring down.

So, the result of this long division shows that \( \frac{27}{50} = 0.54 \).

The correct response is:

**0.54**