How to add rational expressions with a common denominator - GRE Quantitative Reasoning
Card 0 of 5
Simplify the following rational expression: (9x - 2)/(x2) MINUS (6x - 8)/(x2)
Simplify the following rational expression: (9x - 2)/(x2) MINUS (6x - 8)/(x2)
Since both expressions have a common denominator, x2, we can just recopy the denominator and focus on the numerators. We get (9x - 2) - (6x - 8). We must distribute the negative sign over the 6x - 8 expression which gives us 9x - 2 - 6x + 8 ( -2 minus a -8 gives a +6 since a negative and negative make a positive). The numerator is therefore 3x + 6.
Since both expressions have a common denominator, x2, we can just recopy the denominator and focus on the numerators. We get (9x - 2) - (6x - 8). We must distribute the negative sign over the 6x - 8 expression which gives us 9x - 2 - 6x + 8 ( -2 minus a -8 gives a +6 since a negative and negative make a positive). The numerator is therefore 3x + 6.
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Simplify the following rational expression:
Simplify the following rational expression:
Since both fractions in the expression have a common denominator of 
, we can combine like terms into a single numerator over the denominator:
Since both fractions in the expression have a common denominator of
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Simplify the following rational expression:
Simplify the following rational expression:
Since both rational terms in the expression have the common denominator 
, combine the numerators and simplify like terms:
Since both rational terms in the expression have the common denominator
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Simplify the following expression:
Simplify the following expression:
Since both terms in the expression have the common denominator 
, combine the fractions and simplify the numerators:
Since both terms in the expression have the common denominator
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Add and simplify:
Add and simplify:
When adding rational expressions with common denominators, you simply need to add the like terms in the numerator.
Therefore, 
is the best answer.
When adding rational expressions with common denominators, you simply need to add the like terms in the numerator.
Therefore,
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