# How do you simplify #(3x+4)/12 div 8/(9x+12)#?

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To simplify the expression (3x+4)/12 divided by 8/(9x+12), you can multiply the numerator by the reciprocal of the denominator.

The reciprocal of 8/(9x+12) is (9x+12)/8.

So, the expression simplifies to (3x+4)/12 multiplied by (9x+12)/8.

To multiply fractions, you multiply the numerators together and the denominators together.

Therefore, the simplified expression is ((3x+4)(9x+12))/(12*8).

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