Clearing Fractions in Equations

7th GradeMath15 min

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

Learning Objective

I can solve linear equations with fractional coefficients by eliminating the denominators.

Lesson Flow

Watch Video

6 min

Solve Linear Equation with Fractions Two Ways y/5+y/2=3/4

Mathispower4u

Guided Notes

5 min

Key concepts students will learn:

  • To solve the equation y/5 + y/2 = 3/4, the first step is to find a common denominator to combine the y terms on the left side of the equation.

  • Clearing fractions from the equation y/5 + y/2 = 3/4 involves multiplying both sides of the equation by the least common denominator, which in this case is 20.

  • After simplifying and isolating y, the solution to the equation y/5 + y/2 = 3/4 is y = 15/14.

Practice

10 min

3 questions • Multiple choice & Short answer

Exit Ticket

5 min

Solve for x by first clearing the fractions: x/3 + x/6 = 5/2. Show all steps.

Teacher Guide

Get the complete package:

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