# How to Divide Rational Expressions

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## How to Mastering Rational Expressions: A Comprehensive Guide to Multiplication and Division Techniques

Multiplying and dividing rational expressions involves several steps, similar to working with numerical fractions. A rational expression is a fraction where the numerator and the denominator are polynomials.

## How to Divide Rational Expressions? (+FREE Worksheet!)

Dividing Rational Expressions, divide a Rational Expression by another one, can be complicated. In this blog post, you will learn how to divide rational expressions into a few simple steps. Related Topics Method of Dividing Rational Expressions Examples Dividing Rational Expressions – Example 1: $$\frac{x+2}{3x}÷\frac{x^2+5x+6}{3x^2+3x}$$= Solution: Use fractions division rule: $$\frac{a}{b}÷\frac{c}{d}=\frac{a}{b}×\frac{d}{c}=\frac{a×d}{b×c}$$ $$\frac{x+2}{3x}÷\frac{x^2+5x+6}{3x^2+3x}=\frac{x+2}{3x}×\frac{3x^2+3x}{x^2+5x+6}=\frac{(x+2)(3x^2+3x)}{(3x)(x^2+5x+6)}$$Now, factorize the expressions […]