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Adding and Subtracting Rational Expressions
Slates!
Simplify.
Finding the Least Common Denominator
Observe:
Finding the LCD:
1) Factor the
denominators completely
2) Compute the LCD by
using every factor listed
as a factor of the LCD.
Use each factor the
greatest number of times
it is a factor in any of the
denominators.
Example 1: Find the least common denominator:
Example 2: Find the least common denominator:
Slates! Slates! Slates!
Find the Least Common Denominator:
Adding and Subtracting Rational Expressions
with Like Denominators
Rule for Adding / Subtracting Fractions
with Like Denominators
Fractions with like denominators are
added/subtracted by combining the
numerators algebraically and recording that
answer over a single denominator.
Example 1: Perform the indicated operation:
Example 2: Perform the indicated operation :
Practice: In your notes, work out the two
exercises. Then compare
your answers with the people sitting near you.
Some Rules of Algebra : Review
1. The same quantity can be added to both sides of
an equation without changing the equation.
2. Every term on both sides of an equation can be
multiplied (or divided) by the same quantity
without changing the equation.
3. The denominator and numerator of a fraction
can be multiplied by the same quantity without
changing the value of the fraction .
Fundamental Theorem of Fractions
Fundamental Theorem of Rational Expressions
The denominator and numerator of a fraction
can be multiplied by the same quantity
without changing the value of the fraction.
Steps :
1) Write fraction lines
2) Use LCD as new
denominator of each
term
3) Find new
numerators & combine
Adding and Subtracting Rational Expressions
with Unlike Denominators
Example 1: Perform the indicated operation:
Steps:
1) Write fraction lines
2) Use LCD as new
denominator of each term
3) Find new numerators & combine
Example 2: Perform the indicated operation:
Steps:
1) Write fraction lines
2) Use LCD as new
denominator of each term
3) Find new numerators & combine
Example 3: Perform the indicated operation:
Steps:
1) Write fraction lines
2) Use LCD as new
denominator of each term
3) Find new numerators & combine
Example 4: Perform the indicated operation:
Steps:
1) Write fraction lines
2) Use LCD as new
denominator of each term
3) Find new numerators & combine
Example 5: Perform the indicated operation:
Steps:
1) Write fraction lines
2) Use LCD as new
denominator of each term
3) Find new numerators & combine
Example 6: Perform the indicated operation:
Steps:
1) Write fraction lines
2) Use LCD as new
denominator of each term
3) Find new numerators & combine
Dictator/Scribe
Have a great day!
Homework on MathXL
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