Leigh Griffiths, Moussa Dembele and Stuart Armstrong were all on the scoresheet in the Hoops' 3-0 win at Hamilton.
Brendan Rodgers' team played most of the second-half with 10 men after Callum McGregor was shown a second yellow card.
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Second-placed Rangers beat Inverness 1-0 at Ibrox with Martyn Waghorn on target.
The 'Gers are seven points ahead of third-placed Aberdeen.