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

Responses

1.851
1.851

5.4
5.4

0.54
0.54

27.5

1 answer

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

  1. Set up the division: Since 27 is less than 50, we start with 0 and place a decimal point.
  2. Convert 27 into 270 (by adding a decimal and bringing down a zero):
    • 50 goes into 270 five times (since \( 50 \times 5 = 250 \)).
    • Write down 5.
    • Subtract 250 from 270, which leaves us with 20.
  3. Bring down another 0, making it 200:
    • 50 goes into 200 four times (since \( 50 \times 4 = 200 \)).
    • Write down 4.
    • Subtract 200 from 200, which leaves us with 0.

Now we have:

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

Thus, the decimal representation of \( \frac{27}{50} \) is 0.54.

The correct response is:

0.54

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