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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

2. Arithmetic Sequences

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Exercise 76 Page 577

Combine the expressions in the numerator and those in the denominator. Then, multiply the new numerator by the reciprocal of the new denominator.

F

Practice makes perfect

A complex fraction is a rational expression that has at least one fraction in its numerator or denominator, or both. We want to simplify the given complex fraction.

\frac{3 - \frac{1}{x}}{\frac{1}{2 x} - 5}

To do so, we will combine the expressions in the numerator and those in the denominator. Then, we will multiply the new numerator by the reciprocal of the new denominator. Let's start by simplifying the numerator.

3 - \frac{1}{x}

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Simplify

$a = \frac{x \cdot a}{x}$

\frac{3 x}{x} - \frac{1}{x}

Subtract fractions

\frac{3 x - 1}{x}

Subchapter links

Lesson Check p.575

Practice and Problem-Solving Exercises p.575-577

Standardized Test Prep p.577

Mixed Review p.577