[5 - [3/4 + {21/2 - (1/2 + 1/6

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[5 - [3/4 + {2¹/₂ - (1/2 + 1/6 - 1/7)}]] / 2 = ?

1. 1²³/₁₆₈
2. 2²³/₁₆₈
3. 3²³/₁₆₈
4. 4²³/₁₆₈

Correct Option: A

? = [5 -[3/4 + {2¹/₂ - (1/2 + 1/6 - 1/7)}]]/2
= [5 - [3/4 + {5/2 -(1/2 + 7 - 6/42)}]]/2
= [5 - [3/4 + {5/2 - (1/2 + 1/42)}]]/2
= [5 - [3/4 + {5/2 - (21 + 1 /42)}]]/2
= [5 - [3/4 + {5/2 - 22/42}]]/2
= [5 - [3/4 + {105 - 22/42}]]/2
= [5 - [3/4 + 83/42]] / 2
= [5 - [63 + 166/84]]/2
= (191/84)/2
=191/168 = 1²³/₁₆₈