Fractional Equations

How to solve Fractional Equations?

1. Find the Lowest Common Denominator (LCD) of all the fractions in the equation.
   
2. Multiply every term on both sides of the equation by the LCD (to remove the fractions).
   
3. Solve the equation.
   
4. Check the solution.

The following diagram gives an example of solving fractional equation. Scroll down the page for more examples and solutions of solving fractional equations.

Algebra Worksheets
Practice your skills with the following Algebra worksheets:
Printable & Online Algebra Worksheets

Algebra Review 9.1 - Fractional Equations
Example:
Solve x/3 + 3/4 = 7/3

• Show Step-by-step Solutions

Algebra Review 9.2 - Fractional Equations
Example:
Solve 2/x + 1/3 = 5/2x

• Show Step-by-step Solutions

Algebra Review 9.3 - Fractional Equations
Example:
Solve x/3 - (x² - 5x)/(5x - 7) = 2/3

• Show Step-by-step Solutions

Algebra Review 9.4 - Fractional Equations
Example:
Solve x - x/6 = 25

• Show Step-by-step Solutions

Algebra Review 9.5 - Fractional Equations
Example:
Solve x + x/5 = 24

• Show Step-by-step Solutions

Important Considerations:

• Distribute Carefully: When multiplying terms with multiple parts (like (x + 2)) by the LCD, make sure to distribute the multiplication to every part.
• Be Mindful of Negative Signs: Pay close attention to negative signs when multiplying and simplifying.
• Check for Extraneous Solutions: When the variable appears in the denominator, it’s crucial to check your solutions to ensure they don’t make any denominator equal to zero, which would make the fraction undefined.

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