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LCD is probably a typo for LCM. The least common divisor of any number is 0 since 0 is the smallest natural number and divides all numbers.

The LCM of two rational algebraic expressions is often used to add or subtract the two expressions. The method used is to identify all common factors in the denominator of the expressions, and multiply the numerators by the uncommon factors (exactly like you would for non-algebraic fractions).

example:

(2/(a+b)xyz) + (4/(a+b)cdz)

the common factors are (a+b), and z. You must multiply the left expression by cd, and the right expression by xy to get

(2cd+4xy) / (a+b)cdxyz

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Q: Finding the LCD of rational algebraic expressions?
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Related questions

How do you add similar rational algebraic expressions?

Lcd/lcm


How would you find the LCD when adding or subtracting rational expressions with different denominators?

No


What is the purpose of finding the LCD of fractions?

because.


If you are adding or subtracting rational expressions with different polynomial expressions in the denominator explain how you would find the LCD.?

To find the least common denominator (LCD) when adding or subtracting rational expressions with different polynomial expressions in the denominator, first factor each denominator completely. Then, identify the common factors and include each factor to the highest power it appears in any of the denominators. Finally, multiply these factors together to determine the LCD.


Can you always cross multiply rational expressions?

If you need to simplify a rational expression with two or more terms, you need to find the LCD in order to write the expression as a single fraction. If the denominators have not common factors, then the only way is to multiply each numerator with the all denominators of the other terms. If you have an equation in the proportion form, then cross multiply. If both sides of the equation have more than two rational terms, then work at both sides until you have a proportion, then cross multiply. But I would prefer to multiply each term at both sides by the LCD in order to eliminate the denominators.


What is LCD Expand and Explain?

LCD, in arithmetic, is the lowest common denominator. Given a set of rational fractions, it is the smallest integer which each of the denominators will go into evenly.


Is the lcd of two tational expressions is the product of the denominators true?

When the denominators are relatively prime, that is, they have a GCF of 1.


When is it useful to know multiples of a number?

When reducing fractions to their lowest terms or finding the LCD of fractions


How do you diagnose LCD fault finding?

sharps lc37hv4e tv stuck in standby


Why is it the best to use the LCD rather than just any common denominator in adding or subtracting rational expressions?

So that unlike fractions can be converted to like fractions, eg: 1/2 and 1/3 are equvalent to 3/6 and 2/6, 6 being the LCD of 2 and 3. You can now add them (giving 5/6) or subtract the lesser (giving 1/6)


What method do we use to find the LCD of two or more fraction?

By finding the lowest common multiple of the denominators.


What are the differentiate of GCF LCM and LCD?

The greatest common factor, or GCF, is the largest number that can divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest number that all the members of a given set of numbers can divide into evenly with no remainder. The lowest common denominator, or LCD, is essentially the same thing as the LCM except the numbers being compared are the bottom parts of fractions.