How Do You Solve a Multi-Step Equation with Fractions Using Reverse Order of Operations and Reciprocals?

How Do You Solve a Multi-Step Equation with Fractions Using Reverse Order of Operations and Reciprocals?

Note:

Trying to solve an equation involving a fraction? Just perform the order of operations in reverse! See how in this tutorial.

Keywords:

  • problem
  • equation
  • fraction
  • multiply by denominator
  • remove fraction
  • fractions
  • multiple step solution
  • multi-step
  • multiple operations
  • variable
  • 1 variable
  • variable on 1 side
  • multiply by reciprocal
  • reciprocal
  • solve

Background Tutorials

  • Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number.

  • Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.

      • What's a Reciprocal?What's a Reciprocal?

      What's a Reciprocal?

      Reciprocals are important when it comes to dividing fractions, finding perpendicular lines, dealing with inverse proportions, and so much more! In this tutorial you can review the basics about reciprocals.

  • Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

      • What is a Variable?What is a Variable?

      What is a Variable?

      You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

  • Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

      • What's the Addition Property of Equality?What's the Addition Property of Equality?

      What's the Addition Property of Equality?

      Solving equations can be tough, especially if you've forgotten or have trouble understanding the tools at your disposal. One of those tools is the addition property of equality, and it lets you add the same number to both sides of an equation. Watch the video to see it in action!

      • What's the Multiplication Property of Equality?What's the Multiplication Property of Equality?

      What's the Multiplication Property of Equality?

      Solving equations can be tough, especially if you've forgotten or have trouble understanding the tools at your disposal. One of those tools is the multiplication property of equality, and it lets you multiply both sides of an equation by the same number. Watch the video to see it in action!