GRE Math : Fractions
Study concepts, example questions & explanations for GRE Math
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Example Questions
Example Question #1 : Decimals
How much less is 
Example Question #1 : Decimals
The ogre under the bridge eats 
1/5 of the pizza is left after the ogre eats his share. The rats eat 3/4 of that, so 1/4 of 1/5 of the pizza is left.
1/4 * 1/5 = 1/20 = 5%
Example Question #1 : Decimals
Which of the following numbers is between 1/5 and 1/6?
0.13
0.22
0.25
0.19
0.16
0.19
Long division shows that 1/5 = 0.20 and 1/6 = 0.16666... 0.13 < 0.16 < 1/6 < 0.19 < 1/5 < 0.22 < 0.25.
Example Question #11 : Fractions
Trevor, James, and Will were each given a candy bar. Trevor ate 7/12 of his and Will ate 20% of his. If James ate more than Will and less than Trevor, what amount could James have eaten?
9/15
8/9
2/7
1/10
3/5
2/7
Turn Trevor and Will’s amounts into decimals to compare: 20% = 0.20 and 7/12 = 0.5083 rounded. When the answer choices are converted into decimals, 2/7 = 0.2871 is the only value between 0.20 and 0.5083.
Example Question #1014 : Gre Quantitative Reasoning
Choose the answer which best expresses the following fraction as a decimal (if necessary, round to the nearest hundredth):
To solve this problem, simply divide the numerator by the denomenator. We see that when we try to divide these two numbers that 9 does not go into 2 therefore we need to add a decimal place and a zero to 2. Now we have 2.0 divided by 9 from here we can see that .2 times 9 gives us 1.8 which is close to 2. Now we subtract 1.8 from 2 and are left with .2. We repeat this process.
You are left with 
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 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: 
Round to the nearest hundredth, and you get 
Example Question #13 : Fractions
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 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 
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 #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:
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 #12 : Fractions
0.05
0.10
0.01
0.07
0.04
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 #431 : Arithmetic
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:
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