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

Question

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.