Solving Equations by Clearing Fractions
Learning Objective
I can solve linear equations by eliminating denominators.
Key Concepts
To solve an equation with fractions, you can multiply both sides by the least common denominator to clear the fractions.
When solving the equation 2/9x - 1 = 2/3x - 2, multiplying both sides by 9 will eliminate the fractions.
After solving the equation and getting x = 9/4, you can substitute this value back into the original equation to check your answer.
Practice Questions
This lesson includes 3 practice questions to reinforce learning.
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1. What is the first step in solving an equation with fractions using the method described in the video?
2. Solve the following equation by first clearing the fractions: x/2 + x/3 = 5
3. Which value could be used to eliminate the denominators in the following equation? (There may be more than one correct answer) (x/4) + (2x/5) = 3
Educational Video
Solve a Linear Equation with Fractions and Variables on Both Sides: a/bx-c=d/ex-f
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