To explain the similarity and difference between finding the Least Common Denominator of two rational expression and two numerical fractions.
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Answer to Problem 6LC
Similarity: Least Common Denominator of two or more fractions(numerical or rational expression) is the least common multiple of the denominators of fractions(numerical or rational expression).
Difference: Though the LCD is least common multiple of the denominators of fractions in both cases but in numerical fraction it doesn’t include variables it only has numbers and it’s a little easy where as in case of rational expression it may have variable terms in denominator and then the LCD is found including them.
Explanation of Solution
Given:
Any two rational expressions, and any two numerical fraction.
Concept Used:
Least Common Denominator of two or more fractions is least common multiple of the denominators of fractions(numerical or rational expression).
Calculation:
To explain the similarity and difference between finding the Least Common Denominator of two rational expression and two numerical fractions first let’s explain the similarity:
Least Common Denominator of two or more fractions(numerical or rational expression) is the least common multiple of the denominators of fractions(numerical or rational expression).
And the difference is:
Though the LCD is least common multiple of the denominators of fractions in both cases but in numerical fraction it doesn’t include variables it only has numbers and it’s a little easy where as in case of rational expression it may have variable terms in denominator and then the LCD is found including them.
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