How Do You Solve a Rational Equation With Binomials in the Denominator?

Note:

Want some extra practice solving rational equations? This tutorial gives you just that! Learn how to solve a rational equation containing rational expressions with unlike denominators. Take a look!

Keywords:

problem
rational
rational expression
variable
variables
fraction
algebraic fraction
fractions
similar denominator
multiple term denominators
add fractions
least common denominator
lcd
excluded value

Background Tutorials

Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
- What are Equivalent Fractions?
  
  Finding equivalent fractions is an important part of things like adding, subtracting, and comparing fractions. But what are they? In this tutorial, you'll learn that equivalent fractions are just fractions that have the same value, even though they may look very different! Take a look at equivalent fractions by watching this tutorial!
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).
- How Do You Evaluate an Algebraic Expression?
  
  Plugging variables into an expression is essential for solving many algebra problems. See how to plug in variable values by watching this tutorial.
Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.
- How Do You Add Two Rational Expressions with Different Denominators?
  
  Adding rational expressions together? Don't have common denominators? No problem! Find the least common denominator (LCD) and change each rational expression into an equivalent expression with that LCD. Once you have common denominators, you're ready to add and simplify! Watch it all in this tutorial!
- How Do You Add Two Rational Expressions with the Same Denominator?
  
  Adding rational expressions together? If they have a common denominator, just add the numerators together and simplify. Just like you would with any other fractions! Watch the process in this tutorial.