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On a certain legislative committe, 3/8 of the committee members are Republicans. If 2/3 of the members are men and 3/5 of the men are Democrats, what fraction of the members are Democratic women?

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The common denominator of all those fractions is 120.

So, say there are 120 members

Then 45 are R, 75 are D
Also, 80 are men, so 48 are Dm.
That leaves 75-48=23 Dw
So, 23/120 are Dw
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