Question 18

0.236

To convert the fraction 4/17 to a decimal, divide 4 by 17, which results in approximately 0.235294. When rounded to the nearest thousandth, this value becomes 0.236.

A) 0.236

This option is correct as it accurately represents the decimal form of 4/17 rounded to the nearest thousandth. The precise calculation yields 0.235294, which rounds up to 0.236.

B) 0.23

This option is incorrect because 0.23 is not the result of rounding 4/17 to the nearest thousandth. The actual value is closer to 0.236, making this answer insufficiently precise.

C) 0.24

This option is also incorrect. Although 0.24 is a decimal approximation of the fraction, it does not reflect the correct rounding of 4/17, which rounds to 0.236 instead.

D) 0.285

This option is incorrect as it does not relate to the decimal conversion of 4/17. The value of 0.285 is significantly higher than the actual decimal result of this fraction.

Conclusion

The correct answer is definitively 0.236 because it is the accurate decimal representation of 4/17 rounded to the nearest thousandth. All other options either understate or overstate the actual value, demonstrating a lack of precision in their calculations.