![]() Now given any 2 rational numbers in the form p1/q1 and p2/q2, their product is defined as p1p2/(q1q2) for integers p1, q1, p2, q2 except when q1≠0 or q2≠0.įurthermore, the division of any 2 rational numbers, p1/q1 divided by q2/p2 is defined as the product p1/q1 and p2/q2 = p1p2/(q1q2), although the product is undefined whenever q1≠0 or q2≠0. P1/q1 divided by q2/p2 is defined for p2=0.Īssume the contrary: p1/q1 divided by q2/p2 is not defined for p2=0. (x+1)/(x+2) divided by (x+3)/(x-4) … while the divisor might be undefined at x=4, is the quotient, really?Ĭonsider 2 rational numbers, p1/q1 and q2/p2, where p1, q1, p2, q2 are integers, q1≠0 and q2≠0, then: Perhaps that’s been formally established somewhere, but I’m not really convinced it holds. ![]() Is the result of the division really undefined when D=0? ![]() “To summarize, the expression that is the result of A/B divided by C/D is undefined when either B=0, C=0, or D=0.”
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