Lillian has 5/3 bags of popcorn and jane ate 1/3 how much popcorn does lilly have left

Think about your question this way.  Instead of trying to think about having 5/3's of a bag of popcorn, simplify the fraction into a real-life manner.  If you have 5/3 bags of popcorn, that means you are going to have 1 and 2/3 bags of popcorn.  Now this is really easy to understand because now you only have to deal with the 2/3 full bag of popcorn.  Since Jane ate 1/3 of the 2/3 full bag of popcorn, this means that Lillian has 1 and 1/3 bags of popcorn left.  (Or this can also be written as 4/3 bag of popcorn)

Hope this helps! :)

The right answer is option d.