GRE Math : How to find a fraction from a percentage

Study concepts, example questions & explanations for GRE Math

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Example Questions

Example Question #221 : Arithmetic

Column A:                                                                                                                                                                                

Column B:

Possible Answers:

The two quantities are equal.

The relationship cannot be determined from the given information.

Column A is greater.

Column B is greater.

Correct answer:

Column B is greater.

Explanation:

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

Example Question #1 : Percentage

 is  percent of 

 is  percent of 

Quantity A: 

Quantity B: 

Possible Answers:

The relationship cannot be determined.

The two quantities are equal.

Quantity B is greater.

Quantity A is greater.

Correct answer:

Quantity B is greater.

Explanation:

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

 is  percent of :

 is  percent of :

Quantity B is greater.

Example Question #1 : How To Find A Fraction From A Percentage

Quantity A: 20% of 

Quantity B: 30% of 

Possible Answers:

The relationship cannot be determined.

Quantity A is greater.

Quantity B is greater.

The two quantities are equal.

Correct answer:

Quantity B is greater.

Explanation:

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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