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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
The relationship cannot be determined.
Quantity B is greater.
The two quantities are equal.
Quantity A is greater.
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 #11 : Operations
Quantity A:
The -value of the equation
when
Quantity B:
Quantity A is greater.
Both quantities are equal
Quantity B is greater.
The relationship cannot be determined from the information given.
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.
Since and
, 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:
Now that you have what x equals, you can compare it to Quantity B.
Since is bigger than 2, the answer is that Quantity A is greater
Example Question #53 : Fractions
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 #11 : 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.
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