Question

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

Answer 1

The answer is: [B]: 7/9 .
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Step-by-step explanation:
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Method 1:
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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" ;
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7/12 * 4/3 = 7/3 * 1/3 = 7/9 ; which is: Answer choice: [B].
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Method 2:
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7/12 ÷ 3/4 = 7/12 * 4/3 = (7*4) / (12*3) = 28/36; which can be reduced by dividing EACH side by "4":
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28/36 = (28÷4) / (36÷4) = 7/9 ; which is: Answer choice: [B].
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Answer 2

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!