
Shows how to ofirst find the coordinates of the vertex, then choose other inputs to find two more points on each side of the vertex, plott them and draw the graph.


This shows how to multiply by a form of one created by using the irrational denominaor to multiply by the top and the bottom of the fraction creating a whole number denominaor.


Shows that the division of sqaure roots is equivalent to the square root of a fraction, and then simplifies the fraction to complete the task.


Shows three examples of using a unit fraction as an exponent and coverting itt to its radical form sot the result can be further understood.


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…


This demonstrates how to transform variables with negative exponents into corresponding reciprocal fractions, and then proceed to simplify the resulting complex fraction by multiplying all terms by…


Simplifies a complex fraction by distributing the LCD of each small fraction across the top and the bottom so that all small fractions can be swept away.


Simplifies a complex fraction by multiplying the top and bottom by the common denominator of the smaller fractions so their denominators can be eliminated. Further simplification is considered.


This shows how to determine a common denominator when the denominators share at least one factor. A numerical version is included for more understanding, and the rational expressions are added and…


This example shows how to factor each denominator and then determine which of these factors are needed to create the least common denominator (LCD). Then the fractions are expanded by multiplying…


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. …


This example shows how to add fractions with different denominators by adjusting one of the fractions so that they have a common denominator.


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…


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.


A brief informal reasoning of why any division can be changed to a multiplication by reciprocating the second number or fraction, i. e. the number going into the other number. Then an example of…


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…
