Pearson Algebra 2 Common Core, 2011
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Pearson Algebra 2 Common Core, 2011 View details
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Exercise 4 Page 825

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

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Practice makes perfect
A complex fraction is a rational expression that has at least one fraction in its numerator, denominator, or both. We want to simplify the given complex fraction. 5+ 12/2- 15 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.
5+1/2
â–Ľ
Simplify
2*5/2+1/2
10/2+1/2
11/2
Now, let's simplify the denominator.
2-1/5
â–Ľ
Simplify
5*2/5-1/5
10/5-1/5
9/5
Next, we can rewrite the complex fraction using the simplified components. 5+ 12/2- 15 ⇔ 112/95 Finally, we will multiply the numerator by the reciprocal of the new denominator. 112/95 ⇔ 11/2 * 5/9 We can simplify this expression.
11/2 * 5/9
11*5/2*9
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