Algebra II Section 5 3 Sums and Differences

Algebra II Section 5. 3 Sums and Differences of Rational Expressions

Warm Up •

Warmer! •

• Recall the rule for adding and subtracting fractions

Adding or subtracting with a common denominator Steps #1 Put numerators in parentheses if more than one term #2 Combine numerators #3 Write the new numerator over the common denominator (use parentheses if more than one term) #4 Factor and reduce (factors never terms!)

Try these! • Pg. 332 #2 -4

Getting a common denominator (LCM) • #1 Factor each denominator completely and write repeated factors with exponents #2 Take one of each factor and the highest power of any common factors #3 The product of these factors (in #2) is the LCM #4 Change each fraction so the denominator is the LCM

Try these! • Pg 332 #5 and #6

• Finding the LCM of whole numbers

Don’t forget LCM Parentheses Rewrite fractions Write as one fraction Simplify

For acronym lovers: • Let parents rule with sanity

Try these! • Pg 332 #7 -12

Complex fraction- a rational expression that is a fraction and contains a fraction in the numerator, denominator or both

New Stuff The fraction bar means division so…. . Write the numerator divided by the denominator

Old Stuff To divide Flip and multiply Dress any multi-term polynomials in parentheses Factor 1 st then reduce

Complex fraction possibilities

Try these! • Pg. 332 #13 -16

Homework/classwork Pg. 332 #17 -32, 49 -52