Solving Equations by Clearing Fractions

7th GradeMath15 min

aligned to Ccss.math.content.7.ee.a.1

Learning Objective

I can solve linear equations by eliminating denominators.

Lesson Flow

Watch Video

5 min

Solve a Linear Equation with Fractions and Variables on Both Sides: a/bx-c=d/ex-f

Mathispower4u

Guided Notes

5 min

Key concepts students will learn:

  • 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

10 min

3 questions • Multiple choice & Short answer

Exit Ticket

5 min

Solve for x by eliminating the denominators: x/2 + 1 = x/3 - 4. Show all steps.

Teacher Guide

Get the complete package:

  • Answer keys for all questions
  • Differentiation strategies
  • Extension activities
  • Printable student handouts