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9.5 Addition, Subtraction, and Complex Fractions p. 562 What must be true before you can add or subtract complex fractions? What is the easiest way to simplify a complex fraction?
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Remember: When adding or subtracting fractions, you need a common denominator!
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Examples:
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Example: ** Needs a common denominator 1 st ! Sometimes it helps to factor the denominators to make it easier to find your LCD. LCD: 3x 3 (2x+1)
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Example Example: LCD: (x+3) 2 (x-3)
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Complex Fraction – a fraction with a fraction in the numerator and/or denominator. Such as: How would you simplify this complex fraction? Multiply the top by the reciprocal of the bottom!
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Steps to make complex fractions easier. 1.Condense the numerator and denominator into one fraction each. (if necessary) 2.Multiply the numerator by the inverse of the denominator. 3.Simplify the remaining fraction.
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Example:
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Example:
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What must be true before you can add or subtract complex fractions? The fractions must have common denominators. What is the easiest way to simplify a complex fraction? Treat the complex fraction as two problems.
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Assignment 9.5 p. 565 13-39 odd
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