All GRE Math Resources
Example Questions
Example Question #1011 : Gre Quantitative Reasoning
Choose the answer below which best expresses the following fraction as a decimal (round to the nearest hundredth, if necessary):
To convert, first divide the numerator (twelve), by the denomenator (eleven), and you will yield:
repeating.
Then, you may round to the nearest hundredth, which gives you .
Since the value in the thousandths place is less than four this means the the value in the hundredths place will remain the same.
Example Question #1 : Decimals
0.07
0.04
0.01
0.05
0.10
0.07
Multiply numerator by the other numerator and multiply the denominator by the other denominator for multiplication. To divide fractions, switch numerator and denominator and treat it as multiplication. The answer is 0.07.
Example Question #11 : Decimals With Fractions
Simplify.
Whenever there are decimals in fractions, we remove them by shifting the decimal place over however many it takes to make number an integer.
In this case we have to move the decimal in the numerator to the right one place.
Then, we add just one zero to the denominator.
Final answer becomes:
.
Example Question #21 : Fractions
Simplify.
With the numerator having more decimal spots than the denominator, we need to move the decimal point in the numerator two places to the right.
Then in the denominator, we move the decimal point also two to the right. Since there's only one decimal place we just add one more zero.
Then we can reduce by dividing top and bottom by .
Example Question #22 : Fractions
Simplify.
Since there are four decimal places, we shift the decimal point in the numerator four places to the right.
For the denominator, since there is no decimal point, we just add four more zeroes.
Then reduce by dividing top and bottom by .
Example Question #11 : Decimals With Fractions
What is of ?
We need to convert the sentence into a math expression. Anytime there is "of" means we need to multiply. Let's first convert the decimal to a fraction. We need to move the decimal point two places to the right.
Since is the same as we can add two more zeroes to the denominator.
We can reduce the to a and the to a .
Then reduce the to and the to .
.
Then dividing into and we get .
Example Question #433 : Arithmetic
of is . What is ?
We need to convert this sentence into a math expression. Anytime there is "of" in a sentence it means we need to multiply. Let's convert into a decimal which is .
Thus our mathematical expression becomes:
.
Divide both sides by .
Move decimal point two places to the right. The numerator will become . Then simplify by dividing top and bottom by .
Example Question #11 : Decimals With Fractions
Solve for .
Let's convert the decimal into a fraction.
If we multiply everything by , we should have an easier quadratic.
Remember, we need to find two terms that are factors of the c term that add up to the b term.
This is the only value.
Example Question #12 : Decimals With Fractions
Evaluate.
Let's actually simplify the top of the fraction. divides into .
We should have:
.
Then move the decimal two spots to the right and add two zeroes to the denominator.
Let's actually multiply top and bottom by to get: .
Now we want to eliminate those zeroes. By dividing, the decimal point in the numerator moves to the left three places to get an answer of or .
Example Question #27 : Fractions
Evaluate and express in a fraction.
Since each decimal has two digits, we can convert easily to integers.
Then multiply top and bottom by to get:
is reduced to and is reduced to
Then and can be divided by to get and respectively.