### All GRE Math Resources

## Example Questions

### Example Question #1 : How To Add Rational Expressions With A Common Denominator

Simplify the following rational expression: (9x - 2)/(x^{2}) MINUS (6x - 8)/(x^{2})

**Possible Answers:**

**Correct answer:**

Since both expressions have a common denominator, x^{2}, 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.

### Example Question #1 : How To Add Rational Expressions With A Common Denominator

Simplify the following rational expression:

**Possible Answers:**

**Correct answer:**

Since both fractions in the expression have a common denominator of , we can combine like terms into a single numerator over the denominator:

### Example Question #3 : How To Add Rational Expressions With A Common Denominator

Simplify the following expression:

**Possible Answers:**

**Correct answer:**

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

### Example Question #2 : Rational Expressions

Simplify the following rational expression:

**Possible Answers:**

**Correct answer:**

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

### Example Question #5 : How To Add Rational Expressions With A Common Denominator

Add and simplify:

**Possible Answers:**

**Correct answer:**

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

Therefore, is the best answer.