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Dividing Rational Expressions Calculator

# Dividing Rational Expressions Calculator

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Rational expression is an expression which can be written as division of two polynomial expressions. To divide a rational expression the polynomial is simplified and the the like terms are canceled on the numerator and the denominator.The online tool used to divide the given rational expressions is called dividing rational expressions calculator.

Example 1: Divide the given rational expression (x + 3)/ (2x) by (x + 3)/ 6x2

Dividing the given two rational expressions, the expression looks like this

[(x + 3)/ (2x)] / [(x + 3)/ 6x2]

Now here we take the reciprocal of the rational expression in the denominator.

Reciprocal of (x + 3)/ 6x2 is 6x2/ (x + 3)

[(x + 3)/ (2x)] * [6x2/ (x + 3)

[(x + 3)* 6x2]/ ([2x * (x + 3)]

Here (x + 3) in the top and bottom gets cancelled.

6x2/ 2x =3x

Example 2: Divide the given rational expression (4a)/3 by (16a)/ (a + 2).

Dividing the given two rational expressions, the expression looks like this

[4a/3] / [16a/ (a + 2)]

Now here we take the reciprocal of the rational expression in the denominator.

Reciprocal of 16a/ (a + 2) is (a + 2)/ 16a

(4a/3) * [(a+2)/ 16a]

(4a * (a + 2))/ (3 * 16a)

(a + 2)/ 12