Introduction to Solving Equations That Contain Fractions
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/xGfOlCluPDoLicenses & 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
- Provided by: OpenStax License: CC BY: Attribution. License terms: Download for free at http://cnx.org/contents/[email protected].