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You need to find the common denominator in order to add or subtract them. You can only add or subtract "like things" and by finding a common denominator you make both rational expressions into things that can be added or subtracted.

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Q: Why do you think it is important to know how to find the common denominator of two rational polynomials?
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Related questions

To subtract two rational expressions that have a common denominator You simply?

You subtract the numerators, and place it over the common denominator.


How are common denominator and common multiple alike?

Common denominators are common multiples of two or more denominators.


What operations of rational expressions require a common denominator?

addition and subtraction, you dummy


When is a rational expression Simplified?

When the only common factor between numerator and denominator is 1.


When subtracting rational expressions with a common denominator always remember to the negative sign?

Distribute


How do you add rational numbers?

By finding their common denominator & adding the top numbers of-the fractions. : )


What is the standard form of a rational number?

A rational number is said to be in the standard form if its denominator is a positive integer and the numerator and the denominator have no common factor other than 1 .If a rational number is not in the standard form , then it can be reduced to the standard form .


What do you subtract when you have two rational expressions that have a common denominator?

When subtracting you have to make sure that the second numerator is multiplied by -1 so the equation turns into adding. When you add and you already have a common denominator you add the numerators and leave the denominator the same.


The first step in reducing a rational expression is to do what to both the numerator and denominator?

To reduce a fraction to its lowest terms divide the numerator and the denominator by their highest common factor


What is the common denominator for 4.7 and 2.3?

The concept of a common denominator makes sense for integers but not for fractions - rational or decimal. This is because in the set of fractions, every non-zero fraction is a factor of any number.


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.


How are rational numbers multiplied?

The simple way: multiply the numerators to get the numerator, multiply the denominators to get the denominator. To get the preferred answer cancel common factors in the new numerator and denominator. But this can be tricky.