4a

Part of 1996 Greece Junior Math Olympiad

Problems(1)

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

Source:

If the fraction

\frac{an + b}{cn + d}

may be simplified using

2

(as a common divisor ), show that the number

ad - bc

a, b, c, d, n

are natural numbers and the

cn + d

different from zero).

number theoryFractionsimplifyEven