How to find a fraction from a percentage - GRE Quantitative Reasoning

Card 0 of 8

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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