class Fraction():
    def __init__(self, num, denom):
        self.num = num
        self.denom = denom

    def __lt__(self, other):
        return self.num * other.denom < other.num * self.denom

    def __gt__(self, other):
        return self.num * other.denom > other.num * self.denom

    def __str__(self):
        return str(self.num) + '/' + str(self.denom)


def readData(fileName):
    """Generic data reading function:
    reads lines in a text file and splits them into lists"""
    data = []
    with open(fileName) as f:
        for line in f.readlines():
            data.append(line.split('/'))
    return data


def cleanLine(line):
    """Converts a raw line list into an appropriate data format."""
    return Fraction(int(line[0]), int(line[1]))


def findSmallest(fracs):
    smallest = fracs[0]
    for f in fracs:
        if f < smallest:
            smallest = f
    return smallest


def findLargest(fracs):
    largest = fracs[0]
    for f in fracs:
        if f > largest:
            largest = f
    return largest


rawData = readData('fractions.txt')
fractions = [cleanLine(line) for line in rawData]
small = findSmallest(fractions)
large = findLargest(fractions)
print('The smallest fraction is ' + str(small) + '.')
print('The largest fraction is ' + str(large) + '.')