3. Improved Quotient Class. The function math.gcd takes two int values and returns the largest int that divides both. Fo

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3 Improved Quotient Class The Function Math Gcd Takes Two Int Values And Returns The Largest Int That Divides Both Fo 1 (70.95 KiB) Viewed 25 times

3. Improved Quotient Class. The function math.gcd takes two int values and returns the largest int that divides both. For example, math.gcd (8,6) ⇒ 2, and math.gcd (9, 16) ⇒ 1. If a fraction is in lowest terms then math.gcd (a,b) 1. If not, it can be reduced to lowest terms by dividing a and b by math.gcd(a,b). For example, is in lowest terms, and math.gcd (4,3) ⇒ 1. On the other hand, is not in lowest terms, since math.gcd (8,6) ⇒ 2. But if we divide top and bottom by 2, we get, which is in lowest terms. Exercise Hint (1) Modify your Quotient class so it stores a fraction in lowest terms. For example, t = Quotient (8,6) check. expect ("Ts", str(t), "<4/3>") check.expect ("Tn", t.n. 4) check.expect ("Td", t.d, 3) a C ad + bc (2) Recalling that + b d -, implement the magic method_add_(self, other). It bd should return a new Quotient object representing the sum in lowest terms. 2 2 6 14 20 For example, since + 321 21 21 we can test: check.expect("+", Quotient (2,7) + Quotient (2,3), Quotient (20,21)) 5 13 18 3 Since 12 12 122. We can test that the answer is in lowest terms, like so: answer = Quotient (5, 12) + Quotient (13, 12) check.expect ("n", answer.n, 3) check.expect ("d", answer.d, 2) The definition of this function should start: def_add__(self, other: "Quotient") A few details: "Quotient": Make sure you always store int values, not floats. You may design your class so it only works with non-negative ints. Make sure_add returns a new Quotient object. It should not mutate self or other. After the due date for Assignment 07, we will provide a working solution which you may use as a start for this question.