Power of a Power Property of Exponents
Adding and Subtracting Rational Numbers
Solving Equations with Radicals and Exponents
Quadratic Equations
Using Intercepts for Graphing Linear Equations
Graphing Linear Equations in Two
Multiplying Fractions
Solving Linear Equations Containing Fractions
Evaluating Polynomials
Multiplication Property of Square and Cube  Roots
Writing a Fraction in Simplest Form
Square Roots
The Pythagorean Theorem
Factoring The Difference of 2 Squares
Solving Polynomial Equations
Roots and Powers
Writing Linear Equations in Standard Form
Solving Nonlinear Equations by Substitution
Straight Lines
The Square of a Binomial
Solving Equations
Adding and Subtracting Like Fractions
Finding the Equation of an Inverse Function
Slope of a Line
Rules for Nonnegative Integral Exponents

Try the Free Math Solver or Scroll down to Tutorials!












Please use this form if you would like
to have this math solver on your website,
free of charge.

Solving Linear Equations Containing Fractions



First, find the LCD of the fractions.

Step 1 Factor each denominator into its prime factors.

Step 2 List each factor the greatest number of times that it appears in any one of the denominators.

Step 3 Multiply the prime factors in the list.

So, the LCD of the fractions is 40.

8 = 2 · 2 ·2

20 = 2 · 2 · 5

10 = 2 · 5

2, 2, 2, 5

2 · 2 · 2 · 5 = 40

Next, clear the fractions:
• Multiply each side by the LCD, 40.
• Simplify. 5x = 2x - 4
Then, solve the equation for x:

• Subtract 2x from both sides.

3x = -4
• Divide both sides by 3.

We leave the check to you.

The solution is .

Note: can also be written as