## Example Questions

### Example Question #1 : Operations

Solve for :       Explanation:

Begin by isolating the factors: Now, the common denominator of these two fractions is .  Therefore, multiply by :  Now, you can subtract the left values: Now, multiply both sides by : ### Example Question #1 : How To Subtract Fractions

Quantity A: Quantity B: Which of the following is true?

Quantity A is larger.

Quantity B is larger.

The two quantities are equal.

The relationship between the quantities cannot be determined.

Quantity A is larger.

Explanation:

First, consider each quantity separately.

Quantity A These two fractions do not have a common factor. Their common denominator is . Thus, we multiply the fractions as follows to give them a common denominator: This is the same as: Quantity B The common denominator of these two values is .  Therefore, you multiply the fractions as follows to give them a common denominator: This is the same as: Since Quantity A is larger than and Quantity B is a positive fraction less than , we know that Quantity A is larger without even using a calculator.

### Example Question #6 : Operations

Simplify:       Explanation:

Just like adding fractions, when you subtract fractions, you need to find a common denominator. For and , the least common denominator is . In order to do your subtraction, you need to multiply appropriately to give your fractions this denominator: Which is the same as... Now, you can subtract the numerators and retain the denominator: ### All GRE Math Resources 