How to add rational expressions with a common denominator - SAT Math
Card 0 of 4
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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