Multiply & Divide Rational Expressions Worksheets

Printable “Rational Expressions” worksheets:
Simplify Rational Expressions
Equivalent Rational Expressions
Add & Subtract Rational Expressions
Multiply Rational Expressions
Divide Rational Expressions
Multiply & Divide Rational Expressions

Examples, solutions, videos, and worksheets to help Algebra II students learn how to Multiply & Divide Rational expressions.

How to Multiply & Divide Rational expressions worksheets?

Rational expressions can be multiplied and divided using the same rules as numerical fractions. However, since these expressions involve variables, it’s important to factor and simplify as part of the process.

Steps to Multiply Rational Expressions

1. Factor: Fully factor the numerators and denominators of all rational expressions.
2. Multiply the Numerators: Multiply the terms in the numerators together.
3. Multiply the Denominators: Multiply the terms in the denominators together.
4. Simplify: Cancel out any common factors between the numerator and denominator.

Steps to Divide Rational Expressions

1. Rewrite as Multiplication: Flip the second fraction (reciprocal) and change the division sign to multiplication.
2. Factor: Fully factor the numerators and denominators.
3. Simplify: Cancel common factors.
4. Multiply: Follow the steps for multiplying rational expressions.

Key Points:
Always factor fully before multiplying or dividing.
Identify excluded values (where the denominator is zero).
Simplify as much as possible by canceling common factors.

Have a look at this video if you need to review how to Multiply & Divide Rational expressions.

• Multiplying and Dividing Rational Expressions

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More Rational Expressions Worksheets

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(Answers on the second page.)
Multiply & Divide Rational Expressions Worksheet #1
Multiply & Divide Rational Expressions Worksheet #2
Multiply & Divide Rational Expressions Worksheet #3
Multiply & Divide Rational Expressions Worksheet #4
Multiply & Divide Rational Expressions Worksheet #5

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Multiply & Divide Rational Expressions

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