### All GRE Math Resources

## Example Questions

### Example Question #1554 : Act Math

What is the result of adding of to ?

**Possible Answers:**

**Correct answer:**

Let us first get our value for the percentage of the first fraction. 20% of 2/7 is found by multiplying 2/7 by 2/10 (or, simplified, 1/5): (2/7) * (1/5) = (2/35)

Our addition is therefore (2/35) + (1/4). There are no common factors, so the least common denominator will be 35 * 4 or 140. Multiply the numerator and denominator of 2/35 by 4/4 and the numerator of 1/4 by 35/35.

This yields:

(8/140) + (35/140) = 43/140, which cannot be reduced.

### Example Question #1 : Operations

Reduce to simplest form:

**Possible Answers:**

**Correct answer:**

Simplify expressions inside parentheses first: and

Now we have:

Add them by finding the common denominator (LCM of 4, 2, and 3 = 12) and then multiplying the top and bottom of each fraction by whichever factors are missing from this common denominator:

### Example Question #1 : Operations

Quantity A:

Quantity B:

Which of the following is true?

**Possible Answers:**

The relationship between the two quantities cannot be determined.

Quantity A is larger.

Quantity B is larger.

The two quantities are equal.

**Correct answer:**

The two quantities are equal.

Start by looking at Quantity A. The common denominator for this expression is . To calculate this, you perform the following multiplications:

This is the same as:

, or

This is the same as Quantity B. They are equal!

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