6.2a- operations for fractions adding & subtracting – create a common denominator – add or...

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6.2A- Operations for Fractions Adding & Subtracting – Create a COMMON DENOMINATOR ADD or SUBTRACT 2 TOPS (Numerators) KEEP the common denominator (bottom) Multiplying MULTIPLY 2 tops (numerators) MULTIPLY 2 bottoms (denominators)

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6.2A- Properties of Rational Exponents

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Page 1: 6.2A- Operations for Fractions Adding & Subtracting – Create a COMMON DENOMINATOR – ADD or SUBTRACT 2 TOPS (Numerators) – KEEP the common denominator (bottom)

6.2A- Operations for Fractions

• Adding & Subtracting– Create a COMMON DENOMINATOR– ADD or SUBTRACT 2 TOPS (Numerators)– KEEP the common denominator (bottom)

• Multiplying– MULTIPLY 2 tops (numerators)– MULTIPLY 2 bottoms (denominators)

Page 2: 6.2A- Operations for Fractions Adding & Subtracting – Create a COMMON DENOMINATOR – ADD or SUBTRACT 2 TOPS (Numerators) – KEEP the common denominator (bottom)

Examples: Perform the Operations

• 1. • 2. • 3. • 4. • 5. • 6.

Page 3: 6.2A- Operations for Fractions Adding & Subtracting – Create a COMMON DENOMINATOR – ADD or SUBTRACT 2 TOPS (Numerators) – KEEP the common denominator (bottom)

6.2A- Properties of Rational Exponents

• 1. •=• 2. (= =• 3. (ab = (16•9=• 4. = =• 5. = =• 6. (= (=

Page 4: 6.2A- Operations for Fractions Adding & Subtracting – Create a COMMON DENOMINATOR – ADD or SUBTRACT 2 TOPS (Numerators) – KEEP the common denominator (bottom)

Examples: Apply Properties & Simplify

• 1. • 2. ( • 3. (• 4. • 5. • 6. (

Page 5: 6.2A- Operations for Fractions Adding & Subtracting – Create a COMMON DENOMINATOR – ADD or SUBTRACT 2 TOPS (Numerators) – KEEP the common denominator (bottom)

Properties of Radicals for Simplification

• 1. or

= • 2.

= = =

Page 6: 6.2A- Operations for Fractions Adding & Subtracting – Create a COMMON DENOMINATOR – ADD or SUBTRACT 2 TOPS (Numerators) – KEEP the common denominator (bottom)

Examples: Simplify

• 1. • 2. • 3. • 4.

Page 7: 6.2A- Operations for Fractions Adding & Subtracting – Create a COMMON DENOMINATOR – ADD or SUBTRACT 2 TOPS (Numerators) – KEEP the common denominator (bottom)

Writing the Simplest Form of a Radical Expression

• 1. Apply Property if Possible• 2. Create Factor trees & bring values through

the door when possible• 3. Rationalize DENOMINATOR if RADICAL is

left in bottom.– Multiply TOP & BOTTOM by missing nth root

required to eliminate radical in denominator

Page 8: 6.2A- Operations for Fractions Adding & Subtracting – Create a COMMON DENOMINATOR – ADD or SUBTRACT 2 TOPS (Numerators) – KEEP the common denominator (bottom)

Examples: Write in SIMPLEST Form

• 1.

• 2.

• 3.