Rewrite the Rational class in Listing using a new internal representation for the numerator and denominator. Create an array of two integers as follows:
private long[] r = new long[2];
Use r[0] to represent the numerator and r[1] to represent the denominator. The signatures of the methods in the Rational class are not changed, so a client application that uses the previous Rational class can continue to use this new Rational class without being recompiled.
Listing

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