Perform the following divisions. be sure all answers are reduced to lowest terms. 7/12 ÷ 3/4 =
a 21/48
b 7/9
c 36/28
d 1/4

The answer is:  [B]:  7/9 .

Explanation:

     Method 1:

7/12 ÷ 3/4 = 7/12  * 4/3 ;  The "4" cancels to a "1";
                                        and the "12" cancels to a "3";
                                        (since "12÷4 =3"; and "4÷4 =1" ;

    7/12 * 4/3 =  7/3 * 1/3 = 7/9 ; which is:  Answer choice: [B].

   Method 2:

7/12 ÷ 3/4 = 7/12  * 4/3  = (7*4) / (12*3) = 28/36; which can be reduced by dividing EACH side by "4":

 28/36 = (28÷4) / (36÷4) = 7/9 ; which is:  Answer choice: [B].