Of the following, which is closest to (2(12/15) - 1/10) / (16/6)?
The closest value to (2,12/15 - 1/10) ÷ 16/6 is 1.
In the expression, (2,12/15 - 1/10) ÷ 16/6, first, the subtraction operation is performed, followed by the division. After performing the operations, the result is closest to 1.
Zero is an incorrect choice. The subtraction operation in the expression (2,12/15 - 1/10) results in a positive number, and the division operation does not reduce this result to zero.
One is the correct choice. After performing the subtraction operation (2,12/15 - 1/10) and the division operation by 16/6, the result is closest to 1.
Two is an incorrect choice. The division operation in the expression reduces the result of the subtraction operation significantly, resulting in a number closer to 1 than to 2.
Three is an incorrect choice. The division operation in the expression reduces the result of the subtraction operation significantly, resulting in a number much closer to 1 than to 3.
The expression (2,12/15 - 1/10) ÷ 16/6, when calculated, gives a result that is closest to 1. The subtraction operation results in a positive number, and the subsequent division operation reduces this number, making it closest to 1. The other options 0, 2, and 3 are incorrect as the calculations do not result in numbers closest to these values. Therefore, the correct answer to the question is 1.
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