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Algebra 2 HS Mathematics Unit: 08 Lesson: 02 Just Like Fractions (Multiply & Divide) Explain how to make each fraction computation. Then follow a similar procedure for the operations with rational expressions. Fractions 1. 3 4 Steps Operations with Rational Expressions 2 x x 4 x 1 57 3 2. 2 94 8 x6 ( x 1) 8 x6 x 3 2x x 1 x 3 41 3. 4 9 4. 4 15 5. 2 3 81 2x 4 5 x 3 x 2 6. 3 2 81 4 x 7 2 x 3 x 4x 3 x 3 x 5 x 9 x 20 2 x 6 56 2 Remember! When can you simplify a fraction (or a rational algebraic expression)? ©2010, TESCCC 08/01/10 Algebra 2 HS Mathematics Unit: 08 Lesson: 02 Just Like Fractions (Multiply & Divide) KEY Explain how to make each fraction computation. Then follow a similar procedure for the operations with rational expressions. Fractions 1. 2. 3 4 57 15/28 2 94 8/9 Steps Multiply “across” (Multiply the numerators and multiply the denominators) Put the whole number part over “1”, then multiply across Operations with Rational Expressions 2 x x 4 x 1 2x x2-3x-4 8 x6 24 x+6 3 ( x 1) 3. 4. 4 9 41 1/9 4 15 56 2/9 Simplify by “canceling” the factors on top and bottom. Then multiply across. Simplify first by “canceling” the common factors on top and bottom. Then multiply across. 8 x6 x 3 2x x 1 x 3 8x+8 x+6 2x x-1 x 3 x 5 x 9 x 20 2 x 6 1 2x+8 2x 4 5 x 3 x 2 2x2-8 5x+15 x 7 4 2 x 3 x 4x 3 4x+4 x-7 2 Multiply by the reciprocal 5. 6. 2 3 3 2 81 16/3 81 12 Change times to multiplication by the reciprocal. Then simplify common factors, and multiply. Remember! When can you simplify a fraction (or a rational algebraic expression)? Only when it’s multiplication. Only when the numerator and denominator have common factors. ©2010, TESCCC 08/01/10