2 3/4 divided by 3. What is the quotient and what is it in lowest terms?

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.