Solving Equations with Fractions

Solving Equations with Fractions

Grade 10th Grade · Math · 45 min· Standard B

What's Included

Learning Objective

I can solve complex equations involving fractions and rational expressions.

Warm-Up Video

Khan Academy · 4:08

Solving rational equations 2 | Polynomial and rational functions | Algebra II | Khan Academy

Guided Notes

3 key 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.

Practice Questions

10 questions · Multiple choice & Short answer

Exit Ticket

Quick comprehension check

Solve for x: 6/(5x) - 2/(7x) = 8/35

Teacher Guide

Get the complete package:

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