Question : The smallest fraction which should be added to the sum of $2\frac{1}{2}, 3\frac{1}{3}, 4\frac{1}{4}$ and $5\frac{1}{5}$ to make the result a whole number is:
Option 1: $\frac{13}{60}$
Option 2: $\frac{1}{4}$
Option 3: $\frac{17}{60}$
Option 4: $\frac{43}{60}$
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Correct Answer: $\frac{43}{60}$
Solution : Given: $2\frac{1}{2} +3\frac{1}{3} + 4\frac{1}{4} +5\frac{1}{5}$ To make this expression a whole number, add fractions: $ = (\frac{1}{2} +\frac{1}{3} + \frac{1}{4} +\frac{1}{5})$ $ = \frac{(30+20+15+12)}{60}$ $ = \frac{77}{60}$ $ = 1 +\frac{17}{60}$ The smallest fraction to be added = $1 -\frac{17}{60} =\frac{43}{60}$ Hence, the correct answer is $\frac{43}{60}$.
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