{71/2 + 1/2 ÷ 1/2 of 1/4 - 2/5 x 21/3 ÷ 17/8

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{7¹/₂ + 1/2 ÷ 1/2 of 1/4 - 2/5 x 2¹/₃ ÷ 1⁷/₈ of (1²/₅ - 1¹/₃) } = ?

1. 3¹/₅
2. 2¹/₂₄
3. 4¹/₃₀
4. None of these

Correct Option: C

Given expression = 15/2 + 1/2 ÷ 1/8 - 2/5 x 7/3 ÷ 15/8 x (7/5 - 4/3)
= 15/2 + 4 - 2/5 x 7/3 ÷ 15/8 x 1/15
= 15/2 + 4 - 2/5 x 7/3 ÷ 1/8
= 15/2 + 4 - 2/5 x 7/3 x 8/1
= 15/2 + 4 - 112/15
= 23/2 - 112/15
= 121/30
= 4¹/₃₀