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Aim: How do we reduce/simplify complex fractions?

Aim: How do we reduce/simplify complex fractions?. Simplify:. Do Now:. 2 x. Dividing Rational Expressions w/Factoring. Invert 2 nd rational and change to multiplication. Factor & cross cancel. Multiply and simplify. Ex. Complex Fractions - 1.

jillian-nicholson
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Aim: How do we reduce/simplify complex fractions?

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  1. Aim: How do we reduce/simplify complex fractions? Simplify: Do Now:

  2. 2x Dividing Rational Expressions w/Factoring Invert 2nd rational and change to multiplication Factor & cross cancel Multiply and simplify

  3. Ex. Complex Fractions - 1 . . . Contain one or more fractions in the numerator, the denominator or both.

  4. Ex. 2 Complex Rational Expressions - 2 . . . Contains one or more rational expression in it numerator, its denominator or both.

  5. Ex. ? Complex Rational Expressions - 3 . . . Contains one or more rational expression in it numerator, its denominator or both. Trying the same method as with the previous complex fraction

  6. Ex. Complex Rational Expressions - 3 (con’t) . . . Contains one or more rational expression in it numerator, its denominator or both. Denominators - 16, 1, 8, and 2 LCD = 16 Method 1 - Find the LCD of the entire expression and multiply the entire complex expression by LCD/LCD. 16/16

  7. 2 8 Cross cancel & simplify Factor numerator & denominator & Cancel out common factors Complex Rational Expressions - 3 (con’t) Method 1 - Find the LCD of the entire expression and multiply by LCD/LCD. 16/16

  8. Simplify numerator, Simplify denominator using LCD - 16 Combine Like Terms Complex Rational Expressions - 3 (con’t) Method 2 - Change both numerator and denominator to single fractions. Then divide and simplify.

  9. Divide the fractional numerator by the fraction denominator Factor & Cancel common factors & multiply 2 Complex Rational Expressions - 3 (con’t) Method 2 - Change both numerator and denominator to single fractions. Then divide and simplify.

  10. Complex Rational Expressions . . . Contains one or more rational expression in it numerator, its denominator or both. HOW? Method 1: Find the LCD for all fractions and multiply the complex fraction by 1 in the form of Method 2: Change the numerator to a single fraction; change the denominator to a single fraction; and then divide the numerator by the denominator.

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