« Multiplying and Dividing Rational Expressions 

To add/subtract rational expressions with the same denominator
1. Add/subtract the numerators. Write this sum/difference as the numerator over the common denominator.
2. Reduce to lowest terms.
Example 1
Simplify the following:
Solution
These fractions already have a common denominator
1: Write this sum as the numerator over the common denominator:
2: Reduce to lowest terms:
Example 2
Simplify the following:
Solution
Again, these already have a common denominator
1: Write this sum as the numerator over the common denominator:
2: Reduce to lowest terms:
Level 1
Level 2
1. Factor each denominator completely.
2. Build the LCD of the denominators.
3. Rewrite each rational expression with the LCD as the denominator.
4. Add/subtract the numerators.
Example 3:
Simplify the following:
Solution 3:
1: Factor each denominator completely.
2: Build the LCD of the denominators.
3: Rewrite each rational expression with the LCD as the denominator.
4: Add the numerators.
Example 4:
Simplify the following:
Solution 4:
1: Factor each denominator completely.
2: Build the LCD of the denominators.
3: Rewrite each rational expression with the LCD as the denominator.
4: Subtract the numerators.
Level 1
Level 2