What is the least common denominator of the equation 3/4 (x-3)-1/2=2/3 /.....need help wit this one ..A.2 B.9 C.12 D.36

3(x-3)/4-1/2=2/3

The least common denominator will be the least common multiple of 4,2,3 which is the product of the highest occurring primes of the numbers prime factorization...

4=2*2, 2=2, 3=3, so the least common denominator is 2*2*3=12

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thewisestudent9 thewisestudent9 · Answer 2 · 2017-06-01T21:40:16+02:00

Hey!

Hope this helps...

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The one thing you need to know about finding the least common denominator (LCF) is What number do all the numbers in the denominators go into?

> If we take the fractions 3/4 and 1/2, we see that the common denominator between them is 4, but 4 is NOT a common denominator for 2/3...

> If we take the fractions 1/2 and 2/3, we see that the common denominator between them is 6, but 6 is NOT a common denominator for 3/4...

> If we take the fractions 3/4 and 2/3, we see that the common denominator between them is 12, and 12 IS ALSO a common denominator for 1/2...

So...

The correct answer is C.) 12