# Subtracting Rational Expressions

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Examples, videos, worksheets, solutions and activities to help Algebra students learn how to subtract rational expressions.

The following diagram shows how to subtract rational expressions with same or different denominators. Scroll down the page for more examples and solutions for subtracting rational expressions.

Rational Expressions - Subtracting with Common Denominator
How to subtract rational expressions that already have a common denominator, and how to simplify if it is possible to cancel. Subtract rational expressions, same denominator

Subtracting Rational Expressions, different denominators
Students learn that when subtracting rational expressions:
1. Change the minus sign between the terms to a plus sign, and change all the signs across the numerator of the following term.
2. Factor each of the denominators, if possible, then give each term a common denominator by multiplying the numerator and denominator of each term by the appropriate value.
3. Add across the numerators and keep the denominators the same.
4. Factor the resulting numerator, if possible, to determine if the rational expression can be reduced. Subtracting rational expressions: unlike denominators

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