Search for tag: "numerator"

Adding rational expressions involving different quadratic denominators

Adding ratioinal expressions with quadratic denominators requires factoring each denominator so that the LCD can be determined. Then each fraction is exapanded by multiplying the tops and the…

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  

Dividing rational expressions involving multivariate monomials

A quick justification of dividing fractions by multiplying by the reciprocal of the second fraction in the division followed by an example that involves reducing the common factors in the numerator…

From  Tom Grant 5 plays 0  

Rewriting an algebraic expression without a negative exponent

Two examples of expressions with negative exponents that are changed to expressions with positive exponents, leaving the numerical factor as is.

From  Tom Grant 9 plays 0  

Introduction to the quotient rule for exponents

A demo that approaches the given expression and its simplification by writing out the meaning of the exponents as muliplication, then reducing like factors to arrive at a simpler result

From  Tom Grant 10 plays 0  

Rational exponents: Non-unit fraction exponent with a whole number base

Two examples of how to apply a fractional exponent to a whole number base.

From  Tom Grant 24 plays 0  

Rational exponents: Unit fraction exponents and bases involving signs

Two examples of how to deal with fractional exponents on negative numbers.

From  Tom Grant 9 plays 0  

Adding rational expressions with denominators ax - b and b - ax

Describes how to deal with denominators that are simply opposite in sign when adding or subtracting fractional expressions.

From  Tom Grant 23 plays 0  

Adding rational expressions with denominators ax and bx: Basic

Demonstrates how to adjuxt fractional algebra so that the fractions can be added together

From  Tom Grant 11 plays 0  

Restriction on a variable in a denominator: Linear

Division by zero is not possible, so this shiows how to determine what variable value(s) are not alloowed to be inserted into a particular fraction in algebra.

From  Tom Grant 16 plays 0  

Product of a fraction and a whole number: Problem type 1

This is a second look at the multiplication of a fraction and a whole number, again reducing ahead of time before multiplying the fraction's tops and bottoms.

From  Tom Grant 36 plays 0