Final answer:
James has the most comedy movies. Four-ninths is greater than both one-third and one-sixth, which represent dramas and action movies, respectively.
Step-by-step explanation:
James has the most comedy movies in his collection. Since four-ninths of his movies are comedies and this fraction represents a greater proportion compared to one-third for dramas and one-sixth for action movies, we can determine that comedies are the most abundant type in his collection. To compare the fractions, simply consider their numerical values: four-ninths is approximately 0.44, one-third is approximately 0.33, and one-sixth is approximately 0.17. Therefore, the most significant portion of his movies are comedies.