Answer:
11/12
Step-by-step explanation:
2 3/4 = 2·(4/4) + 3/4 = (8/4) +(3/4) = (8+3)/4 = 11/4
Then your problem becomes ...
(11/4) / 3 = (11/4) · (1/3) = (11·1)/(4·3) = 11/12
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The numerator and denominator have no common factors, so this is lowest terms.