Fractions and Percentage - GRE Quantitative Reasoning

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Question

For every 1000 cookies baked, 34 are oatmeal raisin.

Quantity A: Percent of cookies baked that are oatmeal raisin

Quantity B: 3.4%

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.

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Question

What percentage of a solution is blood if it contains ml blood and ml water? Round to the nearest thousandth?

Answer

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 %

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Question

Column A:

Column B:

Answer

2/5% = 0.40% = 0.004. Therefore, Column B is greater.

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Question

is percent of

is percent of

Quantity A:

Quantity B:

Answer

To do this problem, translate each expression into mathematical terms:

is percent of :

is percent of :

Quantity B is greater.

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Question

Quantity A: 20% of

Quantity B: 30% of

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.

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Question

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.

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:

.

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Question

Choose the answer which best converts the following percentage into a fraction (the answer should be simplified):

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:

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Question

Choose the answer below which best expresses the following percentage as a fraction (the answer should be simplified as much as possible):

%

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:

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Question

Choose the answer which best expresses the following percentage as a fraction, ensure that the answer is simplified:

%

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:

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Question

Choose the answer which best converts the following percentage into a fraction:

%

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:

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Question

Column A:

Column B:

Answer

2/5% = 0.40% = 0.004. Therefore, Column B is greater.

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Question

is percent of

is percent of

Quantity A:

Quantity B:

Answer

To do this problem, translate each expression into mathematical terms:

is percent of :

is percent of :

Quantity B is greater.

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Question

Quantity A: 20% of

Quantity B: 30% of

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.

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Question

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.

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:

.

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Question

Choose the answer which best converts the following percentage into a fraction (the answer should be simplified):

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:

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Question

Choose the answer below which best expresses the following percentage as a fraction (the answer should be simplified as much as possible):

%

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:

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Question

Choose the answer which best expresses the following percentage as a fraction, ensure that the answer is simplified:

%

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:

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Question

Choose the answer which best converts the following percentage into a fraction:

%

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:

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Question

Column A:

Column B:

Answer

2/5% = 0.40% = 0.004. Therefore, Column B is greater.

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Question

is percent of

is percent of

Quantity A:

Quantity B:

Answer

To do this problem, translate each expression into mathematical terms:

is percent of :

is percent of :

Quantity B is greater.

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