Rational Functions

More Specific Topics in Rational Functions

Popular Tutorials in Rational Functions

How Do You Multiply Quotients of Monomials by Canceling Factors?

Multiplying fractions made up of monomials is easier than you might think! You can cancel common factors in the numerator and denominator to make things easier to work with. Then just multiply to get your final answer! This tutorial will show you how.
How Do You Divide Quotients of Monomials?

Dividing fractions made up of monomials is easier than you might think! First, turn it into a multiplication problem by multiplying by the reciprocal of the divisor. Then, you can cancel common factors in the numerator and denominator to make things easier to work with. Finally, multiply to get your final answer! This tutorial will show you how.
How Do You Multiply a Rational Expression by a Polynomial?

To multiply a rational expression by a polynomial, just turn that polynomial into a fraction, multiply, and simplify to get your answer! This tutorial shows you that process step-by-step!
How Do You Divide a Rational Expression by a Polynomial?

Dividing a rational expression by a polynomial is easier than you might think! Follow along as this tutorial takes you through that process step-by-step!
How Do You Reduce Common Factors in a Rational Expression?

Multiplying rational expressions? Want to cancel common factors out to make things easier to work with? In this tutorial, you'll see how to cancel out common factors in order to find the simplified product of two rational expression. Check it out!
How Do You Solve a Rational Equation by Adding Fractions?

Want some extra practice solving rational equations? This tutorial gives you just that! You'll see how to solve a rational equation containing rational expressions with common denominators. Then, you'll see how to solve an equation containing rational expressions with unlike denominators. Take a look!
How Do You Solve a Rational Equation by LCD Multiplication?

Want some extra practice solving rational equations? This tutorial gives you just that! You'll see how to solve a rational equation containing rational expressions with common denominators. Then, you'll see how to solve an equation containing rational expressions with unlike denominators. Take a look!
How Do You Solve a Rational Equation With Binomials in the Denominator?

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!
How Do You Solve a Rational Equation With No Solution?

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!
How Do You Solve a Rational Equation With an Extraneous Solution?

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!
How Do You Divide Two Polynomials by Factoring and Canceling?

Simplifying a rational expression? You could factor the numerator and denominator and then cancel like factors. Learn what to do in this tutorial!
How Do You Simplify a Polynomial Over a Polynomial Using Opposite Binomial Factors?

Simplifying a rational expression? You could factor the numerator and denominator and then cancel like factors. Learn what to do in this tutorial!
How Do You Graph a Rational Function by Making a Table?

Graphing a rational function can be fun, especially when you make a table of values first! In this tutorial, you'll see how to make a table of ordered pairs that you can use to graph the rational function. Take a look!
What is the Product Rule for Inverse Variation?

Knowing the product rule for inverse variation can be a real time-saver! Want to learn about it? Here's a tutorial that can help!
How Do You Solve a Word Problem Using Inverse Variation?

If two things are inversely proportional, you can bet that you'll need to use the formula for inverse variation to solve! In this word problem, you'll see how to use the formula for inverse variation to find the constant of inverse variation and then solve for your answer.
What's the Inverse Variation or Indirect Proportionality Formula?

Ever heard of two things being inversely proportional? Well, a good example is speed and time. The bigger your speed, the less time it takes to get to where you are going. So when one variable is big, the other is small, and that's the idea of inverse proportionality. But you can express inverse proportionality using equations, and that's an important thing to do in algebra. See how to do that in the tutorial!
How Do You Use the Formula for Inverse Variation to Write an Equation?

If two things are inversely proportional, you can bet that you'll need to use the formula for inverse variation to solve! In this tutorial, you'll see how to use the formula for inverse variation to find the constant of inverse variation and then solve for your answer.
How Do You Find Excluded Values?

Excluded values are values that will make the denominator of a fraction equal to 0. You can't divide by 0, so it's very important to find these excluded values when you're solving a rational expression. Follow along with this tutorial and learn how to find these excluded values!
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 Subtract Two Rational Expressions with Different Denominators?

Subtracting rational expressions? 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 subtract and simplify! Watch it all in this tutorial!
How Do You Find the Least Common Denominator of Two Rational Expressions?

When adding or subtracting rational expressions, you need have common denominators just like any other fraction. If you don't have common denominators, then you'll need to find the least common denominator (LCD) and use it to get those denominators to be the same. Learn how to find the LCD of two rational expressions by watching this tutorial!
How Do You Simplify a Mixed Expression Over a Mixed Expression?

Simplifying a complex fraction? No sweat! This tutorial will show you how to take a complex fraction made up of a mixed fraction divided by another mixed fraction and simplify it.
How Do You Solve a Word Problem with a Rational Equation?

This tutorial provides a great real world application of math! This tutorial shows you how to take the information given in a word problem and turn it into a rational equation. Then, you'll see how to solve that equation and get your answer!
How Do You Solve a Rational Equation?

Want some extra practice solving rational equations? This tutorial gives you just that! Learn how to solve a rational equation for a given variable. Take a look!
How Do You Divide Monomials Using the Greatest Common Factor?

Simplifying a rational expression? You could divide the numerator and denominator by the greatest common factor (GCF). In this tutorial, you'll learn what you need to do to simplify a rational expression by factoring out the GCF!
How Do You Multiply Two Rational Expressions?

Multiplying together two rational expression isn't so hard, especially if you know the proper steps! This tutorial will take you through all the steps necessary to multiply together two rational expressions and then simplify the product to get the answer. Check it out!
How Do You Divide Two Rational Expressions?

Dividing two rational expressions? Turn it into a multiplication problem by multiplying by the reciprocal of the second rational expression (the divisor)! This tutorial shows you how to do just that! Then, you'll see how to perform the multiplication and simplify to get you answer!
How Do You Multiply Quotients of Monomials?

Multiplying together two monomials isn't so hard, especially if you know the proper steps! This tutorial will take you through all the steps necessary to multiply together two monomials. Then, you'll see how to divide the numerator and denominator by the greatest common factor (GCF) in order to simplify and get your answer!
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.
How Do You Subtract Two Rational Expressions with the Same Denominator?

Subtracting rational expressions? If they have a common denominator, just subtract the numerators and simplify. Just like you would with any other fractions! Watch the process in this tutorial.
What's a Rational Expression?

Got a fraction with a polynomial in the numerator and denominator? You have a rational expression! Learn about rational expressions in this tutorial.
What's a Complex Expression with Rational Expressions?

Looking at a fraction with one or more fractions in the numerator and denominator? You're looking at a complex fraction! Watch this tutorial and learn about complex fractions containing rational expressions.
What's a Rational Equation?

A rational expression is a fraction with a polynomial in the numerator and denominator. If you have an equation containing rational expressions, you have a rational equation. Learn more about rational equations by watching this tutorial!
What's an Excluded Value?

Excluded values are simply that: values that are excluded, or left out. These are values that will make the denominator of a rational expression equal to 0. Remember, you're not allowed to divide by 0, so these values are important to identify and exclude while solving. This tutorial shows you all about excluded values!
What's the Least Common Denominator?

When you're working with fractions, you may need to find the least common denominator (LCD) in order to get the fractions to have a common denominator so that you can add or subtract them. The LCD is the smallest multiple that the denominators have in common. Learn about the LCD in this tutorial!
How Do You Find the Least Common Multiple of Monomials?

Looking for practice finding the least common multiple (LCM) of monomials? Then be sure to check out this tutorial! Follow along with this tutorial as it goes through the process of using prime factorization to help find the LCM. Check it out!