Related Topics:
More Lessons for Grade 8 Math
Math Worksheets
Examples, solutions, videos, worksheets, stories and songs to help Grade 8 students learn how to solve equations with fractions.
In this lesson, we will learn how to solve multi-step equations with fractions by clearing the denominator using the LCD.
Solving equations with fractions involves the same principles as solving equations with whole numbers.
If you prefer not to work with fractions you can first eliminate the fractions by multiplying by the least common denominator. This can simplify the arithmetic and reduce the chance of errors.
Method 1: Multiplying by the Least Common Denominator (LCD)
This is the most common and often the most efficient method.
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
Example 1: Simple Fractions
Solve: \(\frac{x}{3} + \frac{1}{2} = \frac{5}{6}\)
Example 2: Variable in the Denominator
Solve: \(\frac{2}{y} - \frac{3}{4} = \frac{5}{2y}\)
Method 2: Cross-Multiplication (for proportions)
This method is shortcut for equations where one fraction is equal to another fraction (a proportion).
If \(\frac{a}{b} = \frac{c}{d}\), then \(ad = bc\).
Example 3: Using Cross-Multiplication
Solve: \(\frac{x + 2}{3} = \frac{x - 1}{4}\)
Solving Equations by Clearing the Denominator
This video shows how to clear the denominator in equations with fractions and the solve the equations. It will also show how to solve the equations without clearing the fractions.
Solving an Equation with Fractions (Clear Fractions)
This video explains how to solve a equation with fractions by first clearing the fractions.
Solving fractional equations by clearing denominators This video shows how to solve a proportion by cross-multiplication. It will also show how to solve fractional equations by clearing denominators.
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.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.