Order of Operations and Complex Fractions

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Presentation transcript:

Order of Operations and Complex Fractions Section 3.5 Order of Operations and Complex Fractions

Evaluating Fractions Raised to Powers In the product 3  3  3  3  3, notice that 3 is a factor several times. Objective A The exponent, 5, indicates how many times the base, 3 is a factor.

Examples Evaluate. a. b.

Example Evaluate.

Reviewing Operations on Fractions Review of Operations on Fractions Procedure Example Multiply Multiply the numerators and multiply the denominators Divide Multiply the first fraction by the reciprocal of the second fraction Add or Subtract Write each fraction as an equivalent fraction whose denominator is the LCD Add or subtract numerators and write the result over the common denominator. Objective C

Chapter 1 / Whole Numbers and Introduction to Algebra Order of Operations Chapter 1 / Whole Numbers and Introduction to Algebra 1. Perform all operations within parentheses ( ), brackets [ ], or other grouping symbols such as fraction bars, starting with the innermost set. 2. Evaluate any expressions with exponents. 3. Multiply or divide in order from left to right. 4. Add or subtract in order from left to right.

Example Use the order of operations to simplify Objective D

Example Simplify:

Example Simplify Complex Fractions: