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jointheirs5
jointheirs5 jointheirs5
  • 15-01-2017
  • Mathematics
Answered

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

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rockinrazz27
rockinrazz27 rockinrazz27
  • 15-01-2017

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 =  (ps + qr ) /(q*s)
Since q and s are non zero, the sum is a rational number.

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