The answer is: [D]: 11 1/2 .
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Step-by-step explanation:
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 2 7/8 ÷ 1/4 =
23/8 ÷ 1/4 = 23/8 * 4/1 ; The "4" cancels to a "1"; and the "8"
 cancels to a "2"; (since "8÷4 =2" ;
 and "4÷4 = 1" ;
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 → 23/8 * 4/1 = 23/2 * 1/1 = 23/2 * 1 = 23/2 = 11 1/2 ; 
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 → which is: Answer choice: [D].
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