15. Of the following, which is closest to (2(12/15) - 1/10) / (16/6)?
Answer: B
1
The evaluation of the expression (2(12/15) - 1/10) / (16/6) simplifies to 1, confirming that this is the closest value to the result of the calculation.
A) 0
Option A is incorrect as the result of the expression is greater than 0. The calculated value does not approach zero, thus making this option invalid.
B) 1
Option B is correct because when the expression (2(12/15) - 1/10) is calculated and divided by (16/6), it simplifies to exactly 1. This matches the result we derived from the mathematical operations performed.
C) 2
Option C is incorrect as it overestimates the outcome of the expression. The correct calculation shows a result of 1, which is less than 2, thereby making this option not applicable.
D) 3
Option D is also incorrect because the result of the expression is significantly lower than 3. The calculations do not support this value, confirming that it does not align with the derived result.
Conclusion
The answer of 1 is definitively correct as it accurately represents the simplified form of the given expression. All other options fail because they either exceed or do not meet the calculated value, demonstrating that the mathematical operations lead to a clear and distinct result of 1.