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Section 7.3. Simplifying Complex Rational Expressions. Complex Rational Expressions…. … have fractions in the numerator and/or denominator. (A fraction within a fraction) EX: 2 1 + 3 5 or x 15 2 + 5
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Section 7.3 Simplifying Complex Rational Expressions
Complex Rational Expressions… • … have fractions in the numerator and/or denominator. (A fraction within a fraction) • EX: 2 1 + 3 5 or x 15 2 + 5 2x
To Simplify (METHOD 1) • Rewrite as a horizontal division problem: (Numerator) ÷ (Denominator) • Then multiply the by the reciprocal of the 2nd. • This method works best when you have monomial components. (No + or – inside the rational expressions)
To Simplify (METHOD 2) • Multiply the numerator and the denominator of the complex rational expression by the LCD of all the fractions contained within. • Then simplify.