To convert \( \frac{27}{50} \) into a decimal using long division, we can follow these steps:
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Set Up the Division: We will divide 27 by 50.
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Long Division Process:
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Since 27 is less than 50, we can add a decimal point and a zero to the dividend (27 becomes 270).
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Determine how many times 50 can fit into 270.
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50 goes into 270 five times (since \( 50 \times 5 = 250 \)).
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Write 5 above the line.
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Subtract 250 from 270, which gives us \( 270 - 250 = 20 \).
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Bring Down a 0: We now have 20, so we can bring down another 0, making it 200.
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Continue the Division:
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Now, how many times does 50 fit into 200? It fits 4 times (since \( 50 \times 4 = 200 \)).
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Write the 4 next to the 5 above the line. The result is 0.54.
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Subtract 200 from 200, which gives us \( 200 - 200 = 0 \).
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Now since the remainder is 0, the division process stops here.
Therefore, \( \frac{27}{50} = 0.54 \).
The answer in decimal form is 0.54, which is not one of the options given. If we consider a multiple of our answer, we find that \( 0.54 \) is equivalent to \( 54/100 \) but to align with the choices you've provided: none of them represent the direct result of \( \frac{27}{50} \) as a decimal, which is \( 0.54 \).
If we round \( 0.54 \) to one decimal place, it would round to \( 0.5 \), but it does not fit any of the options listed. Since your options appear to include other values rather than a straightforward decimal conversion from \( 27/50 \), please let me know if there was a specific value selection you were attempting to reference or compare against.
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