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Anonymous Anonymous
  • 01-09-2015
  • Mathematics
Answered

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?

Verified Answer :

Anonymous Anonymous
  • 01-09-2015

\(\frac { a }{ b } \times \frac { b }{ c } \times \frac { c }{ d } \times \frac { d }{ e } \\ \\ =\frac { a\cdot b\cdot c\cdot d }{ b\cdot c\cdot d\cdot e } \\ \\ =\frac { a }{ e } \cdot \frac { b\cdot c\cdot d }{ b\cdot c\cdot d } \\ \\ =\frac { a }{ e } \cdot 1\\ \\ =\frac { a }{ e }\)

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