GRE Math : Arithmetic

Study concepts, example questions & explanations for GRE Math

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Example Questions

Example Question #12 : Fractions

Choose the answer below which best expresses the following fraction as a decimal (round to the nearest hundredth, if necessary):

Possible Answers:

Correct answer:

Explanation:

To express a fraction as a decimal, simply divide the numerator by the denomenator.  In this case, you divide thirty two by thirty seven. From here add a decimal place and a zero after 32. Now we are able to divide.

Thus yielding:  repeating.  

Round to the nearest hundredth, and you get  because the value in the thousandths place is a four or lower therefore, the value in the hundredths place remains the same.

Example Question #431 : Arithmetic

Choose the answer below which best expresses the following fraction as a decimal (round to the nearest hundredth, if necessary):

Possible Answers:

Correct answer:

Explanation:

To convert, first divide the numerator by the denomenator. For this problem we will need to add a decimal place and a zero to the end of 17 before we divide.

Then, you will yield  repeating.  

Then you can round to the nearest hundredth, which will give you your final answer of .

Since the value in the thousandths place is a seven which is greater than four, we will need to round the value in the hundredths place up to eight.

Example Question #14 : Fractions

Choose the answer below which best expresses the following fraction as a decimal (round to the nearest hundredth, if necessary):

Possible Answers:

Correct answer:

Explanation:

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 : How To Find The Decimal Equivalent Of A Fraction

Possible Answers:

0.07

0.10

0.05

0.04

0.01

Correct answer:

0.07

Explanation:

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 : Fractions

Simplify.

Possible Answers:

Correct answer:

Explanation:

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 #431 : Arithmetic

Simplify.

Possible Answers:

Correct answer:

Explanation:

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 #11 : Decimals With Fractions

Simplify.

Possible Answers:

Correct answer:

Explanation:

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 ?

Possible Answers:

Correct answer:

Explanation:

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 ?

Possible Answers:

Correct answer:

Explanation:

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 #21 : Fractions

Solve for .

Possible Answers:

Correct answer:

Explanation:

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.

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