Solving Equations with Fractions

Question:
Solve the equation: three-fourths x plus 2 equals one-half x plus 7. Eliminate fractions using the least common denominator, then solve. Verify your answer.

Solving Equations with Fractions

This lesson teaches how to solve a linear equation containing fractions by using the least common denominator to clear all fractions, then applying inverse operations to isolate the variable. Students also learn how to verify their solution by substituting back into the original equation.

In this lesson, you will learn to:
• Identify the least common denominator of fractions appearing in a linear equation
• Eliminate fractions by multiplying every term on both sides by the LCD
• Isolate the variable using inverse operations to find the solution
• Verify a solution by substituting it back into the original equation

Course: Algebra1 · Big Ideas Math · Ron Larson · Chapter 1- Solving Linear