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2 simplifies (an + b)/(cn + d) => (ad - bc) is even (Greece 1996 junior 4a)

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March 17, 2020
number theoryFractionsimplifyEven

Problem Statement

If the fraction an+bcn+d\frac{an + b}{cn + d} may be simplified using 22 (as a common divisor ), show that the number ad−bcad - bc is even. (a,b,c,d,na, b, c, d, n are natural numbers and the cn+dcn + d different from zero).
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