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More Lessons for Grade 8 Math
Math Worksheets
Videos, examples, solutions, and worksheets to help Grade 8 students learn about solving linear inequalities with fractions.
Solving linear inequalities with fractions follows the same core principles as solving linear inequalities without them, but with an added initial step that can make the process much easier: clearing the denominators by multiplying with the least common denominator (LCD).
The Rule of Inequalities still applies:
When you multiply or divide both sides of an inequality by a negative number, you must reverse (flip) the direction of the inequality symbol.
The following figure shows how to solve linear inequalities with fractions. Scroll down the page for more examples and solutions.
Algebra Worksheets
Practice your skills with the following Algebra worksheets:
Printable & Online Algebra Worksheets
Steps to Solve Linear Inequalities with Fractions:
Solving Single-Step Inequalities by taking the Reciprocal
Example:
-5/2 x ≤ -1/5
Solving Two - Step Linear Inequalities
Examples:
Solve each of the following:
a) 4x - 6 > 1
b) -x/8 + 8 ≥ 14
c) (x + 6)/11 < 2
Solving a two-step linear inequality with fractions
Example:
2/3 > -4y - 8 1/3
How to Solve a two-step linear inequality with a fractional coefficient?
Examples:
Solving Inequalities With Fractions
When solving inequalities with fractions, remember that inequality means that there is a “less than” or “greater than” part to the question. Look for common denominators when solving inequalities with fractions
Example:
2/3 + 1/3 < 2/3
How to Solve Inequalities that contain Fractions?
Learn to solve inequalities that contain fractions.
Example:
Solve
-11x/5 + 7/15 ≤ 9/2
Try out our new and fun Fraction Concoction Game.
Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.
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