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Multiplying Rational Expressions

Multiplying Rational Expressions. Recall the General Rule for Multiplying Fractions. 4. 2. If a,b, and c are integers, and b and d are not equal to zero, then:. Procedure: To Simplify Rational Expressions Being Multiplied. 3. 5. 1 st , reduce whole numbers.

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Multiplying Rational Expressions

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  1. Multiplying Rational Expressions Recall the General Rule for Multiplying Fractions. 4 2 If a,b, and c are integers, and b and d are not equal to zero, then: Procedure: To Simplify Rational Expressions Being Multiplied 3 5 1st, reduce whole numbers. 2nd, combine as a single fraction. Solution: Answer: Your Turn Problem #1 1. Divide out whole numbers by a common factor when possible (reduce). • Multiply numerators and denominators. Write as a single fraction. 3. Write rational expression in lowest terms 4. Write remaining factors as answer. 3rd, divide out common factors using the quotient rule for exponents.

  2. Solution: Answer: Your Turn Problem #2 Factor all numerators and denominators. Use the quotient rule for exponents to divide out like factors.

  3. Solution: Answer: Your Turn Problem #3 Factor all numerators and denominators Divide out like factors.

  4. Dividing Algebraic Expressions Procedure: To Divide Algebraic Fractions Solution: Answer: Your Turn Problem #4 1. Rewrite the first fraction. 2. Write a multiplication symbol instead of the division symbol. 3. Write the reciprocal of the original second fraction. 4. Perform the multiplication as in the previous examples. 1. Recopy the first fraction. 2. Write a multiplication symbol instead of the division symbol. 3. Write the reciprocal of the original second fraction. 4. Perform the multiplication (simplify).

  5. Solution: Answer: Your Turn Problem #5 1. Rewrite the first fraction. 2. Write a multiplication symbol instead of the division symbol. 3. Write the reciprocal of the original second fraction. 4. Factor completely then divide out like factors.

  6. Rational Expressions That Involve Both Multiplication And Division. Procedure: To Simplify Rational Expressions That Involve Both Multiplication And Division. Solution: Answer: Your Turn Problem #6 1. Convert any division symbols to multiplication. 2. Invert only the fraction that originally followed the division symbols. Change the division symbol to a multiplication symbol and invert only the middle fraction. Factor all numerators and denominators. Divide out like factors. The End. B.R. 12-27-06

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