Correct Answer - Option 1 : 5/12
Given:
Three fractions: 3/2, 3/4, 1/3
Calculation:
Let, X be the fraction
(3/2) + (3/4) + (1/3) + (x) = Whole number
⇒ LCM (2, 4, 3) = 12
⇒ ((18 + 9 + 4)/12) + (x) = Whole number
⇒ (31/12) + (x) = Whole number
For, x = 5/12
⇒ (36/12) = 3
∴ For, x is 5/12 the sum of fractions is whole number.
Common Mistake:
The most common error of this sum is testing out each option before solving the summation of three fractions given.
Trick: Add the three fractions which will give a hint of the fourth fraction
