The smallest fraction which should be subtracted from the

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The smallest fraction which should be subtracted from the sum of 1³/₄, 2¹/₂, 5⁷/₁₂, 3¹/₃ and 2¹/₄ to make the result a whole number is ?

1. 5/12
2. 7/12
3. 1/2
4. 7

Correct Option: A

∴ 7/4 + 5/2 + 67/12 + 10 + 9/4 = (21 + 30 + 67 + 40 + 27/12) = 185/12

This is nearly greater than 15. Let required fraction be x.
Then, 185/12 - x = 15
∴ x = (185/12) - 15
= 5/12