Complex Fractions and Review of Order of Operations

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Presentation transcript:

Complex Fractions and Review of Order of Operations Section 4.6 Complex Fractions and Review of Order of Operations

Complex Fractions A fraction whose numerator or denominator or both contain fractions.

Methods We will learn two methods to solve the one problems. First : multiply numerator and denominator by the LCD of ALL terms. Second : combine fractions in the numerator, combine fractions in the denominator, then change division line to division symbol.

Method 1 Steps Find the LCD of all fractions Multiply the numerator by the LCD, simplify. Multiply the denominator by the LCD, simplify. Simplify the fraction

Example Simplify

Example Simplify

Method 2 Steps Combine Fractions in the numerator. Combine fractions in the denominator. Change division line to division symbol. Convert division problem into a multiplication problem. Simplify

Example Simplify

Example Simplify

Order of Operation P E M D A S

Example Use order of operations to simplify the expression.

Example Use order of operations to simplify the expression.

Example Use order of operations to simplify the expression.

Example Use order of operations to simplify the expression.