Definition of fall to phrasal verb from the Oxford Advanced American Dictionary

 

fall to

 phrasal verb
phrasal verb
 
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Phrasal Verbs

fall to somebody

 
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to become the duty or responsibility of someone With his partner away, all the work fell to him. it falls to somebody to do something It fell to me to inform her of her son's death.

fall to something

(literary)
 
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to begin to do something fall to doing something She fell to brooding about what had happened to her.
See the Oxford Advanced Learner's Dictionary entry: fall to