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Study Guides > Prealgebra

Introduction to Solving Equations That Contain Fractions

A woman writes on a notepad while two men stand nearby in an office setting Ordering lunch at the office can give you a chance to practice your math skills.
Rylee is taking lunch orders for her coworkers at the office. After taking everyone's order, she discovers that [latex]\frac{7}{12}[/latex] of her coworkers want a burrito. If 21 people asked for a burrito, how many people is Rylee ordering lunch for altogether? To find out, we can make [latex]x[/latex] equal the total number of people in her office and then set up an equation involving fractions to solve for [latex]x[/latex]. We'll explore how to do that in this section.  

Learning Outcomes

By the end of this section, you will be able to:
  • Determine whether a fraction is a solution of an equation
  • Solve equations with fractions using the Addition, Subtraction, and Division Properties of Equality
  • Solve equations using the Multiplication Property of Equality
  • Translate sentences to equations and solve
 

readiness quiz

Before you get started, take this readiness quiz. If you miss a problem, go back to the section listed and review the material. 1) [ohm_question]144878[/ohm_question] If you missed this problem, review the video below. https://youtu.be/dkFIVfJTG9E 2) [ohm_question]146458[/ohm_question] If you missed this problem, review this video. https://youtu.be/yqdlj0lv7Cc 3) [ohm_question]146557[/ohm_question] If you missed this problem, review the following video. https://youtu.be/xGfOlCluPDo
   

Licenses & Attributions

CC licensed content, Shared previously

  • Lunch order. Authored by: Nate Grigg. Located at: https://www.flickr.com/photos/nateone/3835336246/. License: CC BY: Attribution.
  • Ex: Substitute and Evaluate Expressions x^2+3, (x+3)^2, x^2+2x+3. Authored by: James Sousa (Mathispower4u.com). License: CC BY: Attribution.
  • Ex: Solve One Step Equations By Add and Subtract Whole Numbers (Variable on Left). Authored by: James Sousa (Mathispower4u.com) . License: CC BY: Attribution.
  • Ex: Solving One Step Equation by Add/Subtracting Integers (Var on Left). Authored by: James Sousa (Mathispower4u.com). License: CC BY: Attribution.

CC licensed content, Specific attribution