Search for tag: "denominators"

Solving rational equations that simplify to quadratic: Binomial denominators & numerators

A The key to solving this kind of equation is multiplying through by the least common denominator to eliminate the fractions first, Then it is a matter of combining like terms on one side of the…

From  Tom Grant 55 plays 0  

Adding rational expressions with linear denominators without common factors: Basic

A subtraction of fractionso where the denominators have no factors in common so we simpllly multiply the two together to create the LCD. Then both fractions are adjusted by multiplying each…

From  Tom Grant 9 plays 0  

Complex fraction made of sums involving rational expressions: Problem type 3

A complex fraction is multiplied through on the top and the bottom by the common denominator of all smaller fractions, eliminating the denominators of those smaller fractions.

From  Tom Grant 11 plays 0  

Adding rational expressions with common denominators & GCF factoring

An example that is easy to combine with subtraction, in this case, because the two fractions have common denominators. However, be aware that there may be a way to simplifying the answer further. …

From  Tom Grant 6 plays 0  

Adding rational expressions with common denominators and binomial numerators

This demonstrates adding two rational expressions that have different terms individually in the numerator and a common denominator. When the fractions are added, it creates the possibility of adding…

From  Tom Grant 9 plays 0  

Introduction to adding fractions with variables & common denominators

A quick presentation of why we only add the numerators of fractions with common denominators, and then a quick example of adding two fractions with the same denominator.

From  Tom Grant 9 plays 0  

Finding the LCD of rational expressions with linear denominators: Common factors.

A demonstration of how factoring is used to discover the minumum number of factors that need to be combined to find the smallest denominator that can be used as the LCD of the two given fractions.

From  Tom Grant 8 plays 0  

Solving for a variable in terms of other variables in a linear equation with fractions

This describes the process of solving for a particular variable in terms of other variables in an equation. There is a need to go further to combine like terms before it is complete.

From  Tom Grant 18 plays 0  

Rationalizing a denominator: Quotient involving a monomial

Two quick demonstratoins of a rational expression containing radicals being ratioinalized by multiplication of a form of one to transform a radical in the denominantor to a whole number.

From  Tom Grant 17 plays 0  

Simplifying a quotient involving a sum or difference with a square root

This demonstrates creating a multiplication in the numerator of a rational expression that will allow the expression to be reduced by dividing like factors to simply one

From  Tom Grant 11 plays 0  

Rationalizing a denominator: Square root of a fraction

This video shows how to multiplly the top and bottom of a square root of a fraction to get the result of a rational number in the denominator.

From  Tom Grant 11 plays 0  

Solving a rational equation that simplifies to linear: Factorable quadratic denominators

Demonstrates using factoring skills to separate and identify all of the necessary factors that make the LCD (Least common denominator) that can be used as a multiplier through a rational equation to…

From  Tom Grant 18 plays 0  

Solving a rational equation that simplifies to linear: Unlike binomial denominators

Shows how to find a common denominator to use as a multiplier for each term in a rational equation (an equation with fractions) to then eliminate the denotminators and the result will be a more…

From  Tom Grant 22 plays 0  

Complex fraction without variables: Problem type 2

Shows how to simplify a large fractions with fractioins embedded in it. The simplest way involves multiplying all small fractions by their least common denominator so the individual denominators…

From  Tom Grant 9 plays 0  

Complex fraction involving univariate monomials

An explanation of two single fractions divided with monomial denominators and how to simplify them

From  Tom Grant 11 plays 0  

Adding rational expressions with multivariate monomial denominators: Advanced

Shows how to use the given factors of two different denominators and find the LCD then adjust the fractions so they can be added

From  Tom Grant 16 plays 0