a. Implement the ADT fraction that you specified in Exercise. Provide operations that read, write, add, subtract, multiply, and divide fractions. The results of all arithmetic operations should be in lowest terms, so include a private method reduceToLowestTerms. Exercise in Chapter will help you with the details of dais method. (Should your read and write operations call reduceToLowestTerms?) To simplify the determination of a fraction’s sign, you should maintain the denominator of the fraction as a positive value, and keep the sign on the numerator.
b. Specify and implement an ADT for mixed numbers, each of which contains an integer portion and a fractional portion in lowest terms. Assume the existence of the ADT fraction (see part a). Provide operations that read, write, add, subtract, multiply, and divide mixed numbers. The results of all arithmetic operations should have fractional portions that are in lowest terms. Also include an operation that converts a fraction to a mixed number.
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