Definition of cut down phrasal verb from the Oxford Advanced American Dictionary

  

cut down

 phrasal verb
phrasal verb
 
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Phrasal Verbs

cut somebodydown

(formal)
 
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to kill someone He was cut down by an assassin's bullet.

cut somethingdown

 
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to make something fall down by cutting it at the base to cut down a tree

cut somethingdown (to…)

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cut down (on something)

 
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 to reduce the size, amount, or number of something We need to cut the article down to 1,000 words. The doctor told him to cut down on his drinking. I won't have a cigarette, thanks—I'm trying to cut down (= smoke fewer).
See the Oxford Advanced Learner's Dictionary entry: cut down