How Do You Solve a Multi-Step Equation with Fractions by Multiplying Away the Fraction?

How Do You Solve a Multi-Step Equation with Fractions by Multiplying Away the Fraction?

Note:

Trying to solve an equation involving a fraction? Just multiply the fraction away and then 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
  • solve

Background Tutorials

  • 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!

  • Apply the properties of operations to generate equivalent expressions.

      • What is the Distributive Property?What is the Distributive Property?

      What is the Distributive Property?

      The distributive property is a very deep math principle that helps make math work. It's the rule that lets you expand parentheses, and so it's really critical to understand if you want to get good at simplifying expressions. So check out the tutorial and let us know what you think!

  • 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!

  • Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).