8 3 adding and subtracting rational expressions answer key


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Adding/Subtracting Rational Expressions Simplify each expression 1) u − v 8v Many solutions Ex: 1 x + 1 + 1 x + 2 -2- Create your own worksheets like 

  • When adding and subtracting rational expressions what must be the first step?

    To add or subtract rational expressions with unlike denominators, first find the LCM of the denominator.
    The LCM of the denominators of fraction or rational expressions is also called least common denominator , or LCD.
    Write each expression using the LCD.
    Make sure each term has the LCD as its denominator.

  • How do you solve rational expressions adding and subtracting?

    To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator.
    When the denominators are not the same, we must manipulate them so that they become the same.
    In other words, we must find a common denominator.

  • We can add and subtract rational expressions in much the same way as we add and subtract numerical fractions.
    To add or subtract two numerical fractions with the same denominator, we simply add or subtract the numerators, and write the result over the common denominator.

Adding or subtracting rational expressions is a four-step process:
  1. Write all fractions as equivalent fractions with a common denominator.
  2. Combine the fractions as a single fraction that has the common denominator.
  3. Simplify the expression in the top of the fraction.
  4. Reduce the fraction to lowest terms.
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