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

a/b * b/c * c/d * d/e is equal to a/e provided that b, c, d, and e are not zero

 

PROVE

 a/b * b/c * c/d * d/e

= (a/b *b/c) * (c/d * d/e)

= ab/bc * (c/d * d/e)

= a/c * (c/d * d/e)

= a/c * (cd/de)

= a/c * c/e

= ac/ce

= a/e

 

Therefore, a/b * b/c * c/d * d/e is equal to a/e provided that b, c, d, and e are not zero