Perform the following divisions. be sure all answers are reduced to lowest terms. 7/12 ÷ 3/4 =

Perform the following divisions. be sure all answers are reduced to lowest terms. 7/12 ÷ 3/4 =

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  1. 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].

  2. Here we're dividing a fraction (5/8) by another fraction. We could obtain the same result by inverting the divisor (2/5) and then multiplying (5/8) by (5/2).

    The product is 25/16.

    Thus, 2/5 divides into 5/8 25/16 times, or 1 9/16 times.

  3. It would be: 7/12 / 3/4
    We can re-write it as: 7/12 * 4/3
    = 7/3 * 1/3
    = 7/9

    In short, Your Answer would be Option B

    Hope this helps!

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