ACT Math : How to add rational expressions with different denominators
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Example Question #1 :Rational Expressions
简化后:
To simplify the following, a common denominator must be achieved. In this case, the first term must be multiplied by (x+2) in both the numerator and denominator and likewise with the second term with (x-3).
Example Question #1 :How To Add Rational Expressions With Different Denominators
简化后
Find the least common denominator between x-3 and x-4, which is (x-3)(x-4). Therefore, you have
Example Question #3 :Rational Expressions
简化后expression:
In order to add fractions, we must first make sure they have the same denominator.
So, we multiply
Then, we add across the numerators and simplify:
Example Question #4 :Rational Expressions
Combine the following two expressions if possible.
For binomial expressions, it is often faster to simply FOIL them together to find a common trinomial than it is to look for individual least common denominators. Let's do that here:
FOIL and simplify.
Combine numerators.
Thus, our answer is
Example Question #5 :Rational Expressions
Select the expression that is equivalent to
To add the two fractions, a common denominator must be found. With one-term denominators, it is easier to simply find the least common denominator between them and multiply each side to obtain it.
In this case, the least common denominator between
Now, we can add straight across, remembering to combine terms where we can.
So, our simplified answer is
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