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28 December, 14:51

Show that the system of rational expressions is closed under addition, or give an example showing the contrary.

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  1. 28 December, 15:20
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    Let p/q, r/s be elements of Q, the set of rational numbers, where q and s are non zero. We need to show that the sum is also a rational number. p/q + r/s = (p*s + q*r) / (q*s)

    Since q and s are non zero, the sum is a rational number.
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