Children spend too much time on schoolwork, to the detriment of other activities.
It seems like "to the detriment of other activities" modifies its entire preceding clause "Children...on schoolwork".
Am I right?
on schoolwork". Yes, though 'modify' is not the right word to describe the relationship. There's probably a technical term for that relationship, but I don't know it.
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fire1It seems like "to the detriment of other activities" modifies its entire preceding clause "Children...on schoolwork".
Yes, though 'modify' is not the right word to describe the relationship.
There's probably a technical term for that relationship, but I don't know it. That final prepositional phrase is almost a second predicate.
...,
Children spend too much time on schoolwork, to the detriment of other activities.
I'm inclined to say that the underlined element is a verbless clause functioning as an adjunct to the preceding clause.
It is semantically similar to the supplementary relative clause "which is to the detriment of other activities".