Question

How can you tell whether a rational expression is in simplest form? Include an example with your explanation.

Answer 1

a rational in its most simple an be written as a fraction a/b where a and b are co-prime. Which means that there are no common factors in a and b 

for example 4/6  is not simplest form because  2 is a factor of 4 and 6
In its simplest form 4/6  is 2/3.

Answer 2

Rational numbers are numbers that are written as a ratio of two integers.

• Let a and b be integers, hence a rational expression can be expressed as a/b

• In order to tell whether a rational expression is in its simplest form, we need to ensure no integer can go in both the numerator and the denominator.

For instance, given the rational number 10/15, the simplest form of the rational number will be expressed as (5*2)/(5*3) = 2/3

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