Fractions and Percentage - GRE Quantitative Reasoning
Card 1 of 160
For every 1000 cookies baked, 34 are oatmeal raisin.
Quantity A: Percent of cookies baked that are oatmeal raisin
Quantity B: 3.4%
For every 1000 cookies baked, 34 are oatmeal raisin.
Quantity A: Percent of cookies baked that are oatmeal raisin
Quantity B: 3.4%
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Simplify Quantity A by dividing the number of oatmeal raisin cookies by the total number of cookies to find the percentage of oatmeal raisin cookies. Since a percentage is defined as being out of 100, either multiply the resulting decimal by 100 or reduce the fraction until the denominator is 100. You will find that the two quantities are equal.
Simplify Quantity A by dividing the number of oatmeal raisin cookies by the total number of cookies to find the percentage of oatmeal raisin cookies. Since a percentage is defined as being out of 100, either multiply the resulting decimal by 100 or reduce the fraction until the denominator is 100. You will find that the two quantities are equal.
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For every 1000 cookies baked, 34 are oatmeal raisin.
Quantity A: Percent of cookies baked that are oatmeal raisin
Quantity B: 3.4%
For every 1000 cookies baked, 34 are oatmeal raisin.
Quantity A: Percent of cookies baked that are oatmeal raisin
Quantity B: 3.4%
Tap to reveal answer
Simplify Quantity A by dividing the number of oatmeal raisin cookies by the total number of cookies to find the percentage of oatmeal raisin cookies. Since a percentage is defined as being out of 100, either multiply the resulting decimal by 100 or reduce the fraction until the denominator is 100. You will find that the two quantities are equal.
Simplify Quantity A by dividing the number of oatmeal raisin cookies by the total number of cookies to find the percentage of oatmeal raisin cookies. Since a percentage is defined as being out of 100, either multiply the resulting decimal by 100 or reduce the fraction until the denominator is 100. You will find that the two quantities are equal.
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What percentage of a solution is blood if it contains 
ml blood and 
ml water? Round to the nearest thousandth?
What percentage of a solution is blood if it contains
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First, you must find the total amount of solution. This is 
, or 
.
Now, the percentage of the solution that is blood can be represented:
, or 
This is the same as 
% Rounded, it is 
%
First, you must find the total amount of solution. This is
Now, the percentage of the solution that is blood can be represented:
This is the same as
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Column A: 
Column B: 
Column A:
Column B:
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2/5% = 0.40% = 0.004. Therefore, Column B is greater.
2/5% = 0.40% = 0.004. Therefore, Column B is greater.
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is 
percent of 
is 
percent of 
Quantity A: 
Quantity B: 
Quantity A:
Quantity B:
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To do this problem, translate each expression into mathematical terms:
is 
percent of 
:
is 
percent of 
:
Quantity B is greater.
To do this problem, translate each expression into mathematical terms:
Quantity B is greater.
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Quantity A: 20% of 
Quantity B: 30% of 
Quantity A: 20% of
Quantity B: 30% of
Tap to reveal answer
To solve this problem, consider writing the quantities in terms of only fractions:
Quantity A: 20% of 
Quantity B: 30% of 
Quantity B has the smaller denominator for an equal numerator. There is no need for calculation beyond this, and time on the GRE would be best spent elsewhere.
Quantity B is greater.
To solve this problem, consider writing the quantities in terms of only fractions:
Quantity A: 20% of
Quantity B: 30% of
Quantity B has the smaller denominator for an equal numerator. There is no need for calculation beyond this, and time on the GRE would be best spent elsewhere.
Quantity B is greater.
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Billy scored a 
on his last math exam. If there were one hundred questions on the test, what is the ratio of his correct answers to total questions? Express the answer as a fraction, and simplify.
Billy scored a
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This problem is fairly simple. If we know he scored a 
, then we know that he got 
correct answers.
Both the numerator and denominator of the expression are divisible by two, so your final, simplified answer should be:
.
This problem is fairly simple. If we know he scored a
Both the numerator and denominator of the expression are divisible by two, so your final, simplified answer should be:
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Choose the answer which best converts the following percentage into a fraction (the answer should be simplified):
Choose the answer which best converts the following percentage into a fraction (the answer should be simplified):
Tap to reveal answer
To solve this problem, first convert the percentage into a decimal by dividing the percentage by 100:
Then, you can convert the decimal into a fraction:
Both the numerator and the denomenator are divisible by 
, so now you may simplify:
To solve this problem, first convert the percentage into a decimal by dividing the percentage by 100:
Then, you can convert the decimal into a fraction:
Both the numerator and the denomenator are divisible by
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Choose the answer below which best expresses the following percentage as a fraction (the answer should be simplified as much as possible):
%
Choose the answer below which best expresses the following percentage as a fraction (the answer should be simplified as much as possible):
Tap to reveal answer
To find your answer, first convert the percentage into a decimal:
Then, you can place the digits of the decimal over one, followed by a number of zeroes equal to the number of digits (in this case, 1,000):
Both the numerator and denomenator are divisible by 
, so you can simplify to:
To find your answer, first convert the percentage into a decimal:
Then, you can place the digits of the decimal over one, followed by a number of zeroes equal to the number of digits (in this case, 1,000):
Both the numerator and denomenator are divisible by
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Choose the answer which best expresses the following percentage as a fraction, ensure that the answer is simplified:
%
Choose the answer which best expresses the following percentage as a fraction, ensure that the answer is simplified:
Tap to reveal answer
To convert, simply first convert the percentage into a decimal:
Then, you can convert the decimal into a fraction, by putting the digits over one, followed by a number of zeroes equal to the number of digits:
Both are divisible by five, so you can simplify:
To convert, simply first convert the percentage into a decimal:
Then, you can convert the decimal into a fraction, by putting the digits over one, followed by a number of zeroes equal to the number of digits:
Both are divisible by five, so you can simplify:
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Choose the answer which best converts the following percentage into a fraction:
%
Choose the answer which best converts the following percentage into a fraction:
Tap to reveal answer
To convert, first express the percentage as a decimal:
Then, you can place the digits of the decimal over one followed by a number of zeroes equal to the number of digits:
Both of these numbers are divisible by 
, so you can simplify:
To convert, first express the percentage as a decimal:
Then, you can place the digits of the decimal over one followed by a number of zeroes equal to the number of digits:
Both of these numbers are divisible by
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Column A:
Column B:
Column A:
Column B:
Tap to reveal answer
2/5% = 0.40% = 0.004. Therefore, Column B is greater.
2/5% = 0.40% = 0.004. Therefore, Column B is greater.
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is percent of
is percent of
Quantity A:
Quantity B:
Quantity A:
Quantity B:
Tap to reveal answer
To do this problem, translate each expression into mathematical terms:
is percent of :
is percent of :
Quantity B is greater.
To do this problem, translate each expression into mathematical terms:
Quantity B is greater.
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Quantity A: 20% of
Quantity B: 30% of
Quantity A: 20% of
Quantity B: 30% of
Tap to reveal answer
To solve this problem, consider writing the quantities in terms of only fractions:
Quantity A: 20% of
Quantity B: 30% of
Quantity B has the smaller denominator for an equal numerator. There is no need for calculation beyond this, and time on the GRE would be best spent elsewhere.
Quantity B is greater.
To solve this problem, consider writing the quantities in terms of only fractions:
Quantity A: 20% of
Quantity B: 30% of
Quantity B has the smaller denominator for an equal numerator. There is no need for calculation beyond this, and time on the GRE would be best spent elsewhere.
Quantity B is greater.
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Billy scored a on his last math exam. If there were one hundred questions on the test, what is the ratio of his correct answers to total questions? Express the answer as a fraction, and simplify.
Billy scored a
Tap to reveal answer
This problem is fairly simple. If we know he scored a , then we know that he got correct answers.
Both the numerator and denominator of the expression are divisible by two, so your final, simplified answer should be:
.
This problem is fairly simple. If we know he scored a
Both the numerator and denominator of the expression are divisible by two, so your final, simplified answer should be:
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Choose the answer which best converts the following percentage into a fraction (the answer should be simplified):
Choose the answer which best converts the following percentage into a fraction (the answer should be simplified):
Tap to reveal answer
To solve this problem, first convert the percentage into a decimal by dividing the percentage by 100:
Then, you can convert the decimal into a fraction:
Both the numerator and the denomenator are divisible by , so now you may simplify:
To solve this problem, first convert the percentage into a decimal by dividing the percentage by 100:
Then, you can convert the decimal into a fraction:
Both the numerator and the denomenator are divisible by
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Choose the answer below which best expresses the following percentage as a fraction (the answer should be simplified as much as possible):
%
Choose the answer below which best expresses the following percentage as a fraction (the answer should be simplified as much as possible):
Tap to reveal answer
To find your answer, first convert the percentage into a decimal:
Then, you can place the digits of the decimal over one, followed by a number of zeroes equal to the number of digits (in this case, 1,000):
Both the numerator and denomenator are divisible by , so you can simplify to:
To find your answer, first convert the percentage into a decimal:
Then, you can place the digits of the decimal over one, followed by a number of zeroes equal to the number of digits (in this case, 1,000):
Both the numerator and denomenator are divisible by
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Choose the answer which best expresses the following percentage as a fraction, ensure that the answer is simplified:
%
Choose the answer which best expresses the following percentage as a fraction, ensure that the answer is simplified:
Tap to reveal answer
To convert, simply first convert the percentage into a decimal:
Then, you can convert the decimal into a fraction, by putting the digits over one, followed by a number of zeroes equal to the number of digits:
Both are divisible by five, so you can simplify:
To convert, simply first convert the percentage into a decimal:
Then, you can convert the decimal into a fraction, by putting the digits over one, followed by a number of zeroes equal to the number of digits:
Both are divisible by five, so you can simplify:
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Choose the answer which best converts the following percentage into a fraction:
%
Choose the answer which best converts the following percentage into a fraction:
Tap to reveal answer
To convert, first express the percentage as a decimal:
Then, you can place the digits of the decimal over one followed by a number of zeroes equal to the number of digits:
Both of these numbers are divisible by , so you can simplify:
To convert, first express the percentage as a decimal:
Then, you can place the digits of the decimal over one followed by a number of zeroes equal to the number of digits:
Both of these numbers are divisible by
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Column A:
Column B:
Column A:
Column B:
Tap to reveal answer
2/5% = 0.40% = 0.004. Therefore, Column B is greater.
2/5% = 0.40% = 0.004. Therefore, Column B is greater.
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