Answer:
option C
Step-by-step explanation:
[tex]\dfrac{3}{5}[/tex] class left [tex]\dfrac{2}{5}[/tex] of the class left.
now,
[tex]\dfrac{1}{3}[/tex] of stayed did not want to go so, [tex]\dfrac{2}{3}[/tex] of the student wanted to go.
[tex]\dfrac{1}{2}[/tex] of the stayed student join the trip.
number of student that stayed and wanted to go are
=[tex]\dfrac{2}{5}\times \dfrac{2}{3}\times \dfrac{1}{2}[/tex]
=[tex]\dfrac{2}{15}[/tex]
fraction of class on the field trip
= [tex]\dfrac{3}{5}+\dfrac{2}{15}[/tex]
= [tex]\dfrac{11}{15}[/tex]
Hence, the correct answer is option C
