The least common denominator of the equation is 12. Therefore, option C is the correct answer.
The given equation is 3/4(x-3)-1/2=2/3.
How to find the least common denominator?
To find the least common denominator, list out the multiples of both denominators until you find the smallest multiple that is shared by both.
Now, in the equation 3/4(x-3)-1/2=2/3, 4=2×2, 2 and 3 are denominators. So, the least common denominator = 2×2×3=12.
The least common denominator of the equation is 12. Therefore, option C is the correct answer.
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