I just wanna learn how to combine these two fractions and find least common denominator 1/2 - 1/2x | Mathematics | Page 1

west wingBOT Oct 2, 2023, 4:57 PM

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sick shore Oct 2, 2023, 4:58 PM

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The notation "1/2x" grinds my gears because of this

fickle idol Oct 2, 2023, 4:58 PM

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I think I know how to do it

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But idk the first step

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Hello?

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I’m so confused with how this server works

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@sick shore

sick shore Oct 2, 2023, 5:09 PM

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Oh I said something but you didn't really respond to it so I didn't say anything more

fickle idol Oct 2, 2023, 5:09 PM

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Ahhh

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Can u help me solve this question

sick shore Oct 2, 2023, 5:12 PM

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The common denominator in the title would be 2x

fickle idol Oct 2, 2023, 5:13 PM

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Okay how

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Or why

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The top would be 2x-2/2x

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Why 2x

sick shore Oct 2, 2023, 5:15 PM

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No the top would not be 2x-2/2x (I presume you mean (2x-2)/2x. Not that either)

fickle idol Oct 2, 2023, 5:17 PM

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Then how do u simplify the numerator

sick shore Oct 2, 2023, 5:18 PM

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1/2 is equivalent to x/(2x).
Because of that, you may replace 1/2 in the numerator with x/(2x).
Now the numerator reads x/(2x) - 1/(2x).
x/(2x) - 1/(2x) is equal to (x-1)/(2x).

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There is something to say about the equivalence between 1/2 and x/(2x) being conditional on x not being 0, but I claim you can ignore this for the purposes of evaluating the limit (more details if you want)

fickle idol Oct 2, 2023, 5:21 PM

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Thanks sm I understood it

#I just wanna learn how to combine these two fractions and find least common denominator 1/2 - 1/2x