Question

Justify why a/b x b/c x c/d x d/ e is equal to a/e when b,c,d, and e are not zero?

Answer 1

`\frac { a }{ b } * \frac { b }{ c } * \frac { c }{ d } * \frac { d }{ e } \\ \\ =\frac { a\cdot b\cdot c\cdot d }{ b\cdot c\cdot d\cdot e } \\ \\ =\frac { a }{ e } \cdot \frac { b\cdot c\cdot d }{ b\cdot c\cdot d } \\ \\ =\frac { a }{ e } \cdot 1\\ \\ =\frac { a }{ e }`