Assignment:
Three prizes are to be distributed in a Creative Design Talent Search Contest. The value of the second prize is five-sixths the value of the first prize, and the value of the third prize is fourth-fifths that of the second prize.
a. Express the total value of the three prizes as an algebraic expression.
b. Comment on the kind of factors of the simplified algebraic expression.
Provide complete and step by step solution for the question and show calculations and use formulas.