All GRE Math Resources
Example Questions
Example Question #1 :How To Divide Fractions
Car A traveled 120 miles with 5 gallons of fuel.
Car B can travel 25 miles per gallon of fuel.
Quantity A: The fuel efficiency of car A
Quantity B: The fuel efficiency of car B
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined.
Quantity B is greater.
Let's make the two quantities look the same.
Quantity A: 120 miles / 5 gallons = 24 miles / gallon
Quantity B: 25 miles / gallon
Quantity B is greater.
Example Question #15 :Operations
Quantity A:
The-value of the equationwhen
Quantity B:
Quantity B is greater.
The relationship cannot be determined from the information given.
Quantity A is greater.
Both quantities are equal
Quantity A is greater.
In order to solve quantitative comparison problems, you must first deduce whether or not the problem is actually solvable. Since this consists of finding the solution to an-coordinate on a line where nothing too complicated occurs, it will be possible.
Thus, your next step is to solve the problem.
Sinceand, you can plug in the-value and solve for:
Plug in y:
Add 2 to both sides:
Divide by 3/4. To divide, first take the reciprocal of 3/4 (aka, flip it) to get 4/3, then multiply that by 5/3:
Make the improper fraction a mixed number:
现在你有什么x =,我可以比较t to Quantity B.
Sinceis bigger than 2, the answer is thatQuantity A is greater
Example Question #1051 :Gre Quantitative Reasoning
What is equivalent to?
Remember that when you divide by a fraction, you multiply by the reciprocal of that fraction. Therefore, this division really is:
At this point, it is merely a matter of simplification and finishing the multiplication:
Example Question #17 :Operations
Which of the following is equivalent to?
To begin with, most students find it easy to remember that...
From this, you can apply the rule of division of fractions. That is, multiply by the reciprocal:
Therefore,
Since nothing needs to be reduced, this is your answer.