GRE Math : Fractions

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Example Questions

Example Question #3 : Fractions And Percentage

Lauren has finished $65\%$ of her homework.

Express her percent of homework finished as a fraction in simplest form.

Possible Answers:

$\frac{13}{20}$

$\frac{2}{3}$

$\frac{5}{20}$

$\frac{65}{100}$

Correct answer:

$\frac{13}{20}$

Explanation:

First write the percent as a decimal. To convert the decimal into a fraction, multiply the decimal by 100 , then place that number over 100 :

$0.65\cdot100=65$ .

Then place over 100 : $\frac{65}{100}$ .

Therefore,

$0.65=\frac{65}{100}$ .

Then, reduce the fraction to its lowest terms by dividing through by the greatest common factor of and 100 , which is :

$\frac{65}{100}=\frac{13}{20}$ .

So, Lauren has finished $\frac{13}{20}$ of her homework.

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Example Question #571 : Arithmetic

Convert $0.0005\%$ to a fraction.

Possible Answers:

$\frac{1}{5000000}$

$\frac{1}{500000}$

$\frac{1}{20000}$

$\frac{1}{200000}$

$\frac{1}{2000000}$

Correct answer:

$\frac{1}{200000}$

Explanation:

To convert percentages to fractions, take the value and divide by 100 .

$\frac{.0005}{100}$ Let's get rid of the decimal by multiplying top and bottom by 10000 or moving the decimal places to the right and adding zeroes to the bottom.

$\frac{5}{1000000}$ Then reduce by dividing the bottom by to get $\frac{1}{200000}$ .

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Example Question #161 : Fractions

Convert $\frac{2}{5}\%$ to a fraction.

Possible Answers:

$\frac{5}{2}$

$\frac{1}{25}$

$\frac{2}{5}$

$\frac{1}{250}$

$\frac{1}{2500}$

Correct answer:

$\frac{1}{250}$

Explanation:

To convert percentages to fractions, take the value and divide it by 100 .

Then simplify as follows.

$\frac{\frac{2}{5}}{100}=\frac{2}{5\cdot 100}=\frac{1}{5\cdot50}=\frac{1}{250}$

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Example Question #1 : Fractions And Percentage

Convert $49\tfrac{3}{4}\%$ to a fraction.

Possible Answers:

$\frac{1999}{4000}$

$\frac{199}{400}$

$\frac{199}{4}$

$\frac{19}{40}$

$\frac{4}{199}$

Correct answer:

$\frac{199}{400}$

Explanation:

First convert the complex fraction into an improper fraction.

Multiply the number in front of the fraction with the denominator and then add that to the numerator.

$49\frac{3}{4}=\frac{196+3}{4}=\frac{199}{4}$

Then to convert percentages to fractions, take the value and divide by 100 .

$\frac{\frac{199}{4}}{100}=\frac{199}{400}$

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Example Question #161 : Fractions

Billy scored a $62\%$ 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.

Possible Answers:

$\frac{50}{31}$

$\frac{62}{100}$

$\frac{31}{50}$

$\frac{100}{62}$

$\frac{50}{62}$

Correct answer:

$\frac{31}{50}$

Explanation:

This problem is fairly simple. If we know he scored a $62\%$ , then we know that he got $\frac{62}{100}$ correct answers.

Both the numerator and denominator of the expression are divisible by two, so your final, simplified answer should be:

$\frac{62}{100}=\frac{2\cdot 31}{2 \cdot 50}=\frac{31}{50}$ .

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Example Question #581 : Arithmetic

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

$36\%$

Possible Answers:

$\frac{18}{50}$

$\frac{9}{25}$

$\frac{25}{9}$

$\frac{36}{10}$

$\frac{36}{100}$

Correct answer:

$\frac{9}{25}$

Explanation:

To solve this problem, first convert the percentage into a decimal by dividing the percentage by 100:

0.36

Then, you can convert the decimal into a fraction:

$\frac{36}{100}$

Both the numerator and the denomenator are divisible by , so now you may simplify:

$\frac{9}{25}$

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Example Question #162 : Fractions

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

12.5 %

Possible Answers:

$\frac{1}{8}$

$\frac{125}{999}$

$\frac{25}{200}$

$\frac{5}{41}$

$\frac{1}{16}$

Correct answer:

$\frac{1}{8}$

Explanation:

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):

$\frac{125}{1000}$

Both the numerator and denomenator are divisible by 125 , so you can simplify to:

$\frac{1}{8}$

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Example Question #581 : Arithmetic

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

45.5 %

Possible Answers:

$\frac{91}{200}$

$\frac{455}{1000}$

$\frac{91}{100}$

$\frac{455}{100}$

$\frac{91}{455}$

Correct answer:

$\frac{91}{200}$

Explanation:

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:

$\frac{455}{1000}$

Both are divisible by five, so you can simplify:

$\frac{91}{200}$

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Example Question #12 : Fractions And Percentage

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

97.5 %

Possible Answers:

$\frac{39}{40}$

$\frac{195}{200}$

$\frac{975}{100}$

$\frac{975}{1000}$

$\frac{39}{50}$

Correct answer:

$\frac{39}{40}$

Explanation:

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:

$\frac{975}{1000}$

Both of these numbers are divisible by , so you can simplify:

$\frac{39}{40}$

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Example Question #1 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Which fraction is the SMALLEST?

Possible Answers:

35/50

1/2

6/11

47/100

4/9

Correct answer:

4/9

Explanation:

estimate or calculate decimals after simplifying

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GRE Math : Fractions

Study concepts, example questions & explanations for GRE Math

All GRE Math Resources

Example Questions

Example Question #3 : Fractions And Percentage

Example Question #571 : Arithmetic

Example Question #161 : Fractions

Example Question #1 : Fractions And Percentage

Example Question #161 : Fractions

Example Question #581 : Arithmetic

Example Question #162 : Fractions

Example Question #581 : Arithmetic

Example Question #12 : Fractions And Percentage

Example Question #1 : How To Order Fractions From Least To Greatest Or From Greatest To Least

All GRE Math Resources

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