11. Of the following, which is closest to (2,12/15 - 1/10)÷ 16/6 ?

Answer: B

Explanation:

1

The expression (2,12/15 - 1/10) ÷ 16/6 simplifies to approximately 1, making option B the closest value.

A) 1

This option is correct as the calculation of the expression leads to a result that closely approximates 1. The steps involve converting the mixed number and performing the subtraction and division accurately, confirming that this is indeed the correct answer.

B) 2

This option is incorrect since the final result of the expression does not approach 2. The calculations show that the outcome is significantly lower than this value, indicating that option B does not represent the answer to the question.

C) 3

This option is also incorrect as it exceeds the calculated value of the expression. The simplification of the original problem yields a result that is much less than 3, demonstrating that this choice is not valid in the context of the question.

D) 4

This option is incorrect as it suggests a value that is not aligned with the outcome of the given expression. The calculations show that the result is far below 4, making this option invalid for the question posed.

Conclusion

The correct answer is 1, as it reflects the accurate outcome of the mathematical expression provided. All other options fail to match the result, either being too high or simply incorrect based on the calculations involved. Thus, option A is the only viable answer in this context.