Solving Equations with Fractions
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Objective
I can solve complex equations involving fractions and rational expressions.
Part 1 of 4
Warm-up video
Khan Academy · 4:08Vetted channel
We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
To solve rational equations with fractions, you can multiply both sides of the equation by the least common multiple of the denominators to eliminate the fractions.
- 2
In the given equation, multiplying both sides by 18x will eliminate the denominators of 2x, 3x, and 18.
- 3
After simplifying the equation 21 = 7x, we find that x = 3, which can be verified by substituting it back into the original equation.
Part 3 of 4
Practice
10 questions
What is the first step in solving an equation with fractions, according to the video?
In the example problem, what term was used to multiply both sides of the equation to eliminate the fractions?
Part 4 of 4
Exit ticket
Quick comprehension check
“Solve for x: 6/(5x) - 2/(7x) = 8/35”
Sample answer included in the free materials
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