Question : In a college, $\frac{1}{5}$th of the girls and $\frac{1}{8}$th of the boys took part in a social camp. The part of students in the college who took part in the camp are:
Option 1: $\frac{13}{80}$
Option 2: $\frac{2}{13}$
Option 3: $\frac{13}{40}$
Option 4: $\frac{4}{15}$
Correct Answer: $\frac{13}{40}$
Solution :
Girls' participation in social camp = $\frac{1}{5}$
Boys' participation in social camp = $\frac{1}{8}$
Total number of students = LCM of 5 and 8 = 40
Total students participated in social camp$ = \frac{8+5}{40} = \frac{13}{40}$
Hence, the correct answer is $\frac{13}{40}$.
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