Questions: Which of the following is the correct decimal form of 25/6 ? A. 4.1(6) B. 4 .(16) C. 4.16 D. 4.16667

Which of the following is the correct decimal form of 25/6 ? A. 4.1(6) B. 4 .(16) C. 4.16 D. 4.16667
Transcript text: Which of the following is the correct decimal form of $\frac{25}{6} ?$ A. $4.1 \overline{6}$ B. $4 . \overline{16}$ C. 4.16 D. 4.16667
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Solution

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Solution Steps

To find the correct decimal form of \(\frac{25}{6}\), we need to perform the division of 25 by 6. This will give us a decimal number, which we can then compare to the given options to determine the correct answer.

Step 1: Division Calculation

To find the decimal form of \(\frac{25}{6}\), we perform the division: \[ \frac{25}{6} = 4.166666666666667 \]

Step 2: Rounding the Result

The result can be rounded to four significant digits: \[ 4.166666666666667 \approx 4.167 \]

Step 3: Comparing with Options

Now, we compare \(4.167\) with the provided options:

  • A. \(4.1 \overline{6}\) (which is \(4.166666...\))
  • B. \(4.\overline{16}\) (which is \(4.161616...\))
  • C. \(4.16\)
  • D. \(4.16667\)

The closest match to our result \(4.166666666666667\) is option A, which represents the repeating decimal \(4.166666...\).

Final Answer

The answer is \(\boxed{A}\).

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