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This shows how to use the LCD of the two fractions that form a proportion to simplify the equation to a quadratic equation, then solve the quadratic by factoring and check the validity of the …
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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…
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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.
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Demonstrates how the quotient rule for exponents is applied the same way to rational exponents.
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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…
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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…
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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.
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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.
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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.
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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…
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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…
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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…
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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. …
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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…
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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…
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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…
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