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

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absor201 absor201 · Answer 1 · 2019-11-09T17:21:12+01:00

The terms which are in both numerator and denominator will be cancelled out as there is not exponents involved so the result will be a/e

Further explanation:

We have to evaluate the expression

Given expression is:

[tex]\frac{a}{b}*\frac{b}{c}*\frac{c}{d}*\frac{d}{e}[/tex]

We can also write the expression as:

[tex]\frac{a.b.c.d}{b.c.d.e}\\[/tex]

The terms that are both in numerator and denominator will be cancelled out.

So the final expression will be:

[tex]\frac{a}{e}[/tex]

The terms which are in both numerator and denominator will be cancelled out as there is not exponents involved so the result will be a/e

Keywords: Exponents, fractions

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