To convert \( \frac{27}{50} \) to a decimal using long division, follow these steps:
- Set up the long division: Divide 27 by 50.
- Since 50 does not go into 27 (27 is less than 50), we write 0 with a decimal point.
- To continue the division, we can add a decimal and a zero to 27, making it 270.
- 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.
- Bring down another 0, making it 200.
- 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