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Adding and Subtracting Rational Expressions with Same and Different Denominators

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This guide explains how to add and subtract rational expressions, focusing on both same and different denominators. When the denominators are the same, the process is straightforward: just add or subtract the numerators. For different denominators, it’s essential to find the least common denominator (LCD) before combining the fractions. With examples provided for both scenarios, this resource will ensure clarity and confidence in manipulating rational expressions effectively.

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Adding and Subtracting Rational Expressions with Same and Different Denominators

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  1. Math 71A 6.2 – Adding and Subtracting Rational Expressions

  2. Same Denominator To add or subtract rational #’s with the same denominators, just add or subtract numerators: ex: With rational expressions, it’s the same.

  3. Same Denominator To add or subtract rational #’s with the same denominators, just add or subtract numerators: ex: With rational expressions, it’s the same.

  4. Same Denominator To add or subtract rational #’s with the same denominators, just add or subtract numerators: ex: With rational expressions, it’s the same.

  5. Same Denominator To add or subtract rational #’s with the same denominators, just add or subtract numerators: ex: With rational expressions, it’s the same.

  6. Same Denominator To add or subtract rational #’s with the same denominators, just add or subtract numerators: ex: With rational expressions, it’s the same.

  7. Same Denominator To add or subtract rational #’s with the same denominators, just add or subtract numerators: ex: With rational expressions, it’s the same.

  8. Same Denominator Ex 1.Add and simplify: Ex 2.Subtract and simplify:

  9. Different Denominators Recall: When adding and , we look for the _______, which is ___. Then we write equivalent fractions for both and add: . It’s similar for rational expressions.

  10. Different Denominators Recall: When adding and , we look for the _______, which is ___. Then we write equivalent fractions for both and add: . It’s similar for rational expressions. LCD

  11. Different Denominators Recall: When adding and , we look for the _______, which is ___. Then we write equivalent fractions for both and add: . It’s similar for rational expressions. LCD 6

  12. Different Denominators Recall: When adding and , we look for the _______, which is ___. Then we write equivalent fractions for both and add: . It’s similar for rational expressions. LCD 6

  13. Different Denominators Recall: When adding and , we look for the _______, which is ___. Then we write equivalent fractions for both and add: . It’s similar for rational expressions. LCD 6

  14. Different Denominators Recall: When adding and , we look for the _______, which is ___. Then we write equivalent fractions for both and add: . It’s similar for rational expressions. LCD 6

  15. Different Denominators Recall: When adding and , we look for the _______, which is ___. Then we write equivalent fractions for both and add: . It’s similar for rational expressions. LCD 6

  16. Ex 3.Add and simplify: Ex 4.Subtract and simplify: Ex 5.Add and simplify: Ex 6.Simplify: Ex 7.Simplify:

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