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9.5 Addition, Subtraction, and Complex Fractions By: L. Kealii Alicea

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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 denominator. 3.Simplify the remaining fraction.

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Example:

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Example:

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Last Example:

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Reciprocals A reciprocal is the value used to multiply a number by to make the product 1 Find the reciprocal of 2: 2 x = 1 What do we multiply 2 by to.

Reciprocals A reciprocal is the value used to multiply a number by to make the product 1 Find the reciprocal of 2: 2 x = 1 What do we multiply 2 by to.

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