To convert \( \frac{27}{50} \) to a decimal using long division, we divide 27 by 50.
- Setup the long division: 27 divided by 50.
- Since 27 is less than 50, we add a decimal point and a zero to make it 270.
- Now, divide 270 by 50. 50 goes into 270 a total of 5 times (because \( 50 \times 5 = 250 \)).
- Subtract 250 from 270, which leaves us with 20.
- Next, bring down another zero to make it 200.
- Divide 200 by 50, which goes 4 times (because \( 50 \times 4 = 200 \)).
- Subtract 200 from 200, which leaves us with 0.
Putting it all together, we find that \( \frac{27}{50} = 0.54 \).
So, the decimal representation of \( \frac{27}{50} \) is 0.54.