1) Find the greatest fraction among the given fractions. Determine if they are irreducible. 2) Find the lowest common multiple of 72 and 150 that has five digits. 3) Given a 6-digit number where the units digit is 1, if that digit is moved to the leftmost place the new number is triple the original. Calculate the original number. 4) Given a quadrilateral ABCD and a point P inside it, prove that if perpendiculars are drawn from P to the sides, the point Z is the midpoint of AD.

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