All GRE Math Resources
Example Questions
Example Question #171 : Fractions
What is the result of adding of to ?
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 #451 : Arithmetic
Reduce to simplest form:
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?
Quantity B is larger.
Quantity A is larger.
The relationship between the two quantities cannot be determined.
The two quantities are equal.
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!