71/2 - [ 21/4 ÷ { 11/4 - 1/2(11/2 - 1/3

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7¹/₂ - [ 2¹/₄ ÷ { 1¹/₄ - 1/2(1¹/₂ - 1/3 - 1/6)}] is equal to ?

1. 2/9
2. 1
3. 4¹/₂
4. 1⁷⁷/₂₈₈

Correct Option: C

Given expression = 15/2 -[9/4 ÷ {5/4 - 1/2(3/2 - 1/3 - 1/6)}]
= 15/2 -[9/4 ÷ {5/4 - 1/2 x 1}]
= 15/2 -[9/4 ÷ {5/4 - 1/2}]
= 15/2 -[9/4 ÷ 3/4] = 15/2 - [9/4 x 4/3]
= (15/2 - 3)
= 9 / 2 = 4¹/₂