Perform the following division. be sure answers are reduced to lowest terms. 2 7/8 ÷ 1/4 =
a 2 7/32
b 2 11/8
c 11 7/8
d 11 1/2

The answer is:  [D]:  11  1/2  .

Explanation:

 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" ;

  → 23/8 * 4/1 =  23/2  * 1/1   = 23/2  * 1  =  23/2 = 11  1/2 ; 

                                                      → which is:  Answer choice:  [D].