Calculate the value of the expression: 6 minus [5/6 plus {3 7/8 minus 2 1/3 plus 1 7/9}]. What is the result?

Explanation

Let's simplify the expression step-by-step: 6 - [5/6 + {3 7/8 - 2 1/3 + 1 7/9}] = 6 - [5/6 + {3 1/8 - 7/3 + 16/9}] = 6 - [5/6 + (279/72 - 168/72 + 128/72)] = 6 - [5/6 + 239/72] = 6 - [(60/72) + (239/72)] = 6 - (299/72) = (432/72) - (299/72) = 133/72 = 1 61/72. Since none of the given options match this result, the correct choice is 'None of the above'.