Expressions - GRE Quantitative Reasoning

Since both rational terms in the expression have the common denominator , combine the numerators and simplify like terms:

Since both terms in the expression have the common denominator , combine the fractions and simplify the numerators:

When adding rational expressions with common denominators, you simply need to add the like terms in the numerator.

Therefore, is the best answer.

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 rational terms in the expression have the common denominator , combine the numerators and simplify like terms:

Since both terms in the expression have the common denominator , combine the fractions and simplify the numerators:

When adding rational expressions with common denominators, you simply need to add the like terms in the numerator.

Therefore, is the best answer.

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 rational terms in the expression have the common denominator , combine the numerators and simplify like terms:

Since both terms in the expression have the common denominator , combine the fractions and simplify the numerators:

When adding rational expressions with common denominators, you simply need to add the like terms in the numerator.

Therefore, is the best answer.

To add rational expressions, first find the least common denominator. Because the denominator of the first fraction factors to 2(x+2), it is clear that this is the common denominator. Therefore, multiply the numerator and denominator of the second fraction by 2.

This is the most simplified version of the rational expression.

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).

To simplify this expression, you have to get both numerators over a common denominator. The best way to go about doing so is to multiply both expressions by the others denominator over itself:

Then you are left with:

Which you can simplify into:

From there, you can take out a :

Which gives you your final answer:

To solve this problem, first multiply both terms of the expression by the denominator of the other over itself:

Now that both terms have a common denominator, you can add them together:

To simplify, first multiply both terms by the denominator of the other term over itself:

Then, you can combine the terms, now that they share a denominator:

To add rational expressions, first find the least common denominator. Because the denominator of the first fraction factors to 2(x+2), it is clear that this is the common denominator. Therefore, multiply the numerator and denominator of the second fraction by 2.

This is the most simplified version of the rational expression.

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).

To simplify this expression, you have to get both numerators over a common denominator. The best way to go about doing so is to multiply both expressions by the others denominator over itself:

Then you are left with:

Which you can simplify into:

From there, you can take out a :

Which gives you your final answer: