Tennis-Serena motors into fourth round in Melbourne
The 37-year-old Williams, chasing a record-extending eighth Melbourne title in the professional era, barely broke sweat on a sunny afternoon at Rod Laver Arena as she sent 20 winners flying past the 57th-ranked 18-year-old.
Yastremska rolled her right ankle midway through and took a medical time-out to have her foot bandaged when trailing 4-1 in the second set.
It stalled defeat only briefly, however, as Williams broke her a third time in the set and claimed the match when the Ukrainian sprayed a cross-court forehand wide.
Williams will play the winner of the match between her older sister Venus and top seed Simona Halep for a place in the quarter-finals.
(Editing by Peter Rutherford)
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