Adding and Subtracting Rational Expressions
WARM UP 1) Suppose y varies inversely with x, Write an equation that includes the point (4,2) 2) The length of a violin string varies inversely as the frequency of its vibrations. A violin string 14 in long vibrates at a frequency of 450 cycles per second. Find the frequency of a 12- in violin string.
Review Identify vertical and horizontal asymptotes and state domain and range 1)
Review of Multiplying Multiply the following:
Review of Dividing Divide the following:
Review of Adding and Subtracting Fractions With Common Denominators
Adding.
Subtracting.
9.5 Adding and Subtracting with Unlike Denominators
Common Denominator A Common Denominator is also the LEAST COMMON MULTIPLE. LCM is the smallest numbers that each factor can be divided into evenly. Finding LCM of 2 numbers: 7: 21:
LCM Find the LCM of each pair of numbers 1. 4, , , 12
Review of Adding and Subtracting Fractions With Unlike Denominators Add or subtract the following
Steps for Adding or Subtracting 1) Find a Common Denominator 1) Turn both fractions into equivalent fractions with the common denominator 2) Add or Subtract the top, and keep the bottom
Finding LCM For Variables LCM: Take the Largest Exponent! Find the LCM: x 4 and x x 3 and x 2 3x 5 and 9x 8
Adding and Subtracting Fractions With Unlike Denominators Add or subtract the following
Finding LCM of Expressions For Expressions LCM: Include ALL factors!! EX: 3(x + 2) and 5(x – 2) x(x + 4) and 3x 2 (x + 4) (x 2 + 2x - 8) and (x 2 – 4) 7(x 2 – 25) and 2(x 2 + 7x + 10)
Add or Subtract the Following 1.
Add or Subtract the Following 1.
Add or Subtract the Following 1.
Add or Subtract the Following 1.
Complex Fractions A complex fraction is a faction that has a fraction in its numerator or denominator.
Simplifying To Simplify Multiply the top and the bottom by the COMMON DENOMINATOR
Try Some! Simplify