Question 98626
[(w+3)/4w]  / [(w-3)/2w]

Invert the denominator and multiply:

 [(w+3)/4w]  * [2w/(w-3)]

Cancel the common "2w" factor in numerator and denominator:

[(w+3)/2] * [1/(w-3)]

= (w+3)/[2(w-3)]

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Cheers,
Stan H.