I want to check myself on this one:
a/2 + 1/4 divided by a/3 - 1/2
you need same denominator so you multiply a/2 by 2 which gives you 2a/4 + 1/4 = 3a/4.
Next part a/3 - 1/2 so you multiply a/3 by 2 to get 2a/6 then 1/2 you multiply by 3 to get 3/6 so
2a/6 - 3/6 = 2a-3/6. Now 3a/4 divided by 2a-3/6 then you use the reciprocal and multiply 3a/4 * 6/3 to get a/-2 (after you reduce and cancel out like terms)?

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your 1st step has an error:\[\frac{a}{2}+\frac{1}{4}=\frac{2a}{4}+\frac{1}{4}\ne\frac{3a}{4}\]

do you understand why?

Not sure .. now I'm confused LOL

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