Order of operations with fractions

Question

A photography book has 40 two -sided pages of pictures, each of which is 1/24 inch thick, where each two -sides page is preceded by a protective 1/60 inch thick piece of paper, and each side of the book is bound by a 1/4 inch cover. What is the total thickness of the book?

Answer 1

cover + # of pages * ( protective sheet + two sided page) + cover

1/4 + 40 * ( 1/60 + 1/24) + 1/4 =

1/4 + 40/60 + 40/24 + 1/4 = <-- distributive

1/4 + 2/3 + 5/3 + 1/4 <-- reduces to lowest terms

(1/4 + 1/4) + (2/3 + 5/3) <-- commutative and associative properties of addition

1/2 + 8/3 = <-- parenthesis first

3/6 + 16/6 <-- common denominator

19/6 =

3 and 1/6