5 4 Complex Fractions Simplifying Complex Fractions There
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5. 4 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) 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. Bobs. Math. Class. Com Copyright © 2010 All Rights Reserved. 1
5. 4 Complex Fractions 1. Rewrite as a division problem 2. Change to multiplication 3. Perform the operation Your Turn Problem #2 Bobs. Math. Class. Com Copyright © 2010 All Rights Reserved. 2
5. 4 Complex Fractions 1. Rewrite as a division problem 2. Change to multiplication 3. Reduce and multiply 2 Your Turn Problem #2 Bobs. Math. Class. Com Copyright © 2010 All Rights Reserved. 3
5. 4 Complex Fractions 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. Procedure: Simplifying complex fractions with more than one fraction in the numerator and/or the denominator. 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. 3. Simplify the rational expression. Bobs. Math. Class. Com Copyright © 2010 All Rights Reserved. 4
5. 4 Complex Fractions 1. Find LCD = 12 2. Multiply each fraction by the LCD. 4 3 Divide out the denominators. 6 2 3. Simplify Your Turn Problem #3 Bobs. Math. Class. Com Copyright © 2010 All Rights Reserved. 5
5. 4 Complex Fractions 2. Multiply each fraction by the LCD. 3. Simplify Your Turn Problem #4 Bobs. Math. Class. Com Copyright © 2010 All Rights Reserved. 6
5. 4 Complex Fractions 2. Multiply each fraction by the LCD. Divide out the denominators. 3. Simplify Your Turn Problem #5 Bobs. Math. Class. Com Copyright © 2010 All Rights Reserved. 7
5. 4 Complex Fractions 2. Multiply each fraction by the LCD. Divide out the denominators. 3. Simplify Your Turn Problem #6 The End. B. R. 12 -28 -06 Bobs. Math. Class. Com Copyright © 2010 All Rights Reserved. 8
