1. Each row in the following table contains values for the integers a and b. In this table, the value of r is the remainder (from the Division Algorithm) when a is divided by b. Complete each row in this table by determining gcd(a, b), r, and gcd(b, r).
a b gcd(a, b) Remainder r gcd(b, r)
44 12
75 21
50 33
2. Formulate a conjecture based on the results of the table in Part (1).
3. Find two rational numbers with denominators 9 and 15, respectively, whose sum is equal to 10/225 or explain why it is not possible to do so.