Use long division to convert 27/50

Question

to a decimal.(1 point)
Responses

27.5
27.5

1.851
1.851

0.54
0.54

5.4

Answer 1

To convert \( \frac{27}{50} \) to a decimal using long division, we can set up the division of 27 by 50.

1. Since 27 is less than 50, we start by placing a decimal point and adding a zero, making it 270 (i.e., 27.0).
2. Now, 50 goes into 270 five times (since \( 50 \times 5 = 250 \)).
3. Subtract 250 from 270, which gives us 20.
4. Bring down another zero (making it 200).
5. Now, 50 goes into 200 exactly four times (since \( 50 \times 4 = 200 \)).
6. Subtract 200 from 200, which gives us 0.

So, the result is:

\[ 27 \div 50 = 0.54 \]

The decimal representation of \( \frac{27}{50} \) is 0.54.

Thus, the correct answer is 0.54.