Consider a class Fraction of fractions. Each fraction is signed and has a numerator and a denominator that are integers. Your class should be able to add, subtract, multiply, and divide two fractions. These methods should have a fraction as a parameter and should return the result of the operation as a fraction. The class should also be able to find the reciprocal of a fraction, compare two fractions, decide whether two fractions are equal, and convert a fraction to a string.
Your class should handle denominators that are zero. Fractions should always occur in lowest terms, and the class should be responsible for this requirement. For example, if the user tries to create a fraction such as 4/8, the class should set the fraction to 1/2. Likewise, the results of all arithmetic operations should be in lowest terms. Note that a fraction can be improper—that is, have a numerator that is larger than its denominator. Such a fraction, however, should be in lowest terms.
Design, but do not implement, the class Fraction. Begin by writing a CRC card for this class. Then write a Java interface that declares each public method. Include javadoc-style comments to specify each method.
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