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If p and q, are rational numbers and q is not zero, what do you know about -(p/q), -p/q and p/-q

If p and q, are rational numbers and q is not zero, what do you know about -(p/q), -p-example-1
User Idan Gazit
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1 Answer

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-(p/q), -p/q and p/(-q) are all the same rational number when you simplify everything as much as possible. It doesn't matter if p and q are whole numbers or are fractions of whole numbers.

For example: Let p = 4 and q = 6. So this means -(p/q) = -4/6 = -2/3 and it also means -p/q = -4/6 = -2/3 and finally p/(-q) = 4/(-6) = -2/3. All three expressions reduce to -2/3.

User Shyamal Parikh
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