Algebra Tutorials!
Try the Free Math Solver or Scroll down to Tutorials!

 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg:

# Adding and Subtracting Rational Expressions with Different Denominators

Example 1

Find:

Solution

 Step 1 Find the LCD. Factor each denominator. The LCD is w(w - 6) Â· 2 Â· 2 Â· y. Step 2 Rewrite each rational expression with the LCD as the denominator. Step 3 Add (or subtract) the numerators. The denominator stays the same. Subtract the numerators. Distribute the -7. Step 4 Reduce to lowest terms.
The numerator cannot be factored using integers. Since there are no factors, other than 1 or -1, common to the numerator and denominator, the expression is in lowest terms.

So,

Example 2

Find:

Solution

 Step 1 Find the LCD. Factor each denominator. The LCD is (x - 3)(x - 3)(x + 3). Step 2 Rewrite each rational expression with the LCD as the denominator. Step 3 Add (or subtract) the numerators. The denominator stays the same. Subtract the numerators. In the numerator, distribute the x and the -3. Combine like terms. Step 4 Reduce to lowest terms.
The numerator cannot be factored over the integers.

Since there are no factors, other than 1 or -1, common to the numerator and the denominator, the expression is in lowest terms.

So,