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Pearson Algebra 1 Common Core, 2011

PA

Pearson Algebra 1 Common Core, 2011 View details

5. Solving Rational Equations

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Exercise 54 Page 697

Can we factor the denominators? Are there common factors between them?

C

Practice makes perfect

We want to find the least common denominator (LCD) of the given rational expressions. 1/x, x/3, 3/2xNote that only one of the denominators can be factored. To form the LCD, we have to list each factor the greatest number of times it appears in a denominator. x &= x 3 &= 3 2x &= 2* x LCD &= x * 3 * 2 The product of these factors is the LCD. Let's simplify the product!

LCD=x* 3* 2

Multiply

LCD=x* 6

CommutativePropMult

Commutative Property of Multiplication

LCD=6x

The LCD is 6x. This corresponds to option C.

Subchapter links

Lesson Check p.695

Practice and Problem-Solving Exercises p.695-697

Standardized Test Prep p.697

Mixed Review p.697