14. Of the following, which is closest to 17/6 + 6/17 ?
Answer: C
The sum of 17/6 and 6/17 is closest to 3.
To find the value of 17/6 + 6/17, we first convert both fractions to a common denominator and calculate their sum, which approximates to 3.
A) 1
Option A is incorrect because the calculated sum of 17/6 + 6/17 is significantly greater than 1. Even the individual fractions are larger than 1, making this option unsuitable.
B) 2
Option B is also incorrect. While 2 is closer than 1, the actual sum of 17/6 + 6/17 exceeds 2. The fractions involved yield a result that is greater than 2 when added together.
C) 3
Option C is correct. Upon calculating 17/6 + 6/17, the result is approximately equal to 3, making it the closest estimate to the actual sum of these fractions.
D) 23
Option D is incorrect as it is far too high compared to the actual sum of 17/6 + 6/17. The value of the sum does not approach 23, which is an unrealistic estimate for this mathematical operation.
Conclusion
The correct answer is 3, as this option accurately reflects the sum of the two fractions when calculated. All other options fail to represent the true value derived from the addition of 17/6 and 6/17, either being too low or excessively high.