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Simplifying Complex Fractions

Simplifying Complex Fractions. There are two types of complex fractions to consider. The first type will be a complex fraction where the numerator has one fraction and the denominator has one fraction. (Type 1).

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Simplifying Complex Fractions

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  1. Simplifying Complex Fractions There are two types of complex fractions to consider. The first type will be a complex fraction where the numerator has one fraction and the denominator has one fraction. (Type 1) The second type will be a complex fraction where the numerator and /or denominator has more than one fraction. (Type 2) Simplifying complex fractions of the first type (one fraction in the numerator and one fraction in the denominator) Note: There are two methods. This lesson will only show one method. Procedure: Simplifying complex fractions with one fraction in the numerator and one fraction in the denominator. 1. Rewrite the complex fraction as a division problem using a division symbol. 2. Change the division problem to a multiplication problem. 3. Perform the operation as shown in previous lessons.

  2. Your Turn Problem #2 1. Rewrite as a division problem 2. Change to multiplication 3. Perform the operation

  3. 2 Your Turn Problem #2 1. Rewrite as a division problem 2. Change to multiplication 3. Reduce and multiply

  4. Procedure: Simplifying complex fractions with more than one fraction in the numerator and/or the denominator. 3. Simplify the rational expression. Simplifying complex fractions of the second type (more than one fraction in the numerator and/or denominator) Note: Again, there are two methods. This lesson will only show one method. 1. Find the LCD using all of the fractions in the complex fraction. 2. Multiply each fraction by the LCD. By doing this, it enables us to divide out each of the denominators.

  5. 4 6 3 2 Your Turn Problem #3 1. Find LCD. LCD = 12 2. Multiply each fraction by the LCD. Divide out the denominators. 3. Simplify

  6. Your Turn Problem #4 2. Multiply each fraction by the LCD. 3. Simplify

  7. Your Turn Problem #5 2. Multiply each fraction by the LCD. Divide out the denominators. 3. Simplify

  8. Your Turn Problem #6 2. Multiply each fraction by the LCD. Divide out the denominators. 3. Simplify The End. B.R. 12-28-06

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