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

Question

Responses

5.4
5.4

27.5
27.5

1.851
1.851

0.54

Answer 1

To convert \( \frac{27}{50} \) to a decimal using long division, we divide 27 by 50.

1. Set up the long division: Since 27 is less than 50, we know the result will be less than 1. We can express this as \( 0.54 \) (by adding a decimal and zeros to the dividend).

2. Divide:

   • 50 goes into 270 (27.0) five times because \( 50 \times 5 = 250 \).
   • Subtract 250 from 270: \( 270 - 250 = 20 \).
   • Bring down the next 0 to make it 200.

3. Continue dividing:

   • 50 goes into 200 four times because \( 50 \times 4 = 200 \).
   • Subtract 200 from 200: \( 200 - 200 = 0 \).

Since there are no more digits to bring down and the remainder is 0, we can conclude that:

\[ \frac{27}{50} = 0.54 \]

Thus, the answer is \( 0.54 \).