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I understand that the the distributive law cannot be applied to division over addition/subtraction, but is there an equivalent law to expand it out. For example, I know: $100 \times (5 + 3) = (100 \times 5) + (100 \times 3),$ but with $100 \div (5 + 3),$ I can't do (that is, is not equal to) $(100 \div 5) + (100\div 3).$

Is there a way I can "distribute" when it is division over addition/subtraction?

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    Thanks Arturo, it makes sense, I was afraid that would be the answer. I happen to have my division followed by my subtraction/addition, so I guess I am stuck with no distribution :)2011-04-18

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