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SSAT Upper Level Math : How to find a fraction from a percentage

Study concepts, example questions & explanations for SSAT Upper Level Math

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All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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

Which of the following operations is equivalent to taking of a number?

Possible Answers:

Moving the decimal point one place to the left, then tripling the result

Moving the decimal point one place to the left, then doubling the result

Dividing the number by

Correct answer:

Dividing the number by

Explanation:

Let's just pick a number at random, for example 100 .

of this number is , which is 100 divided by .

We can also work by simplifying the fractional form of . A percent can be written as the number divided by 100 .

$=\frac{25}{100}$

We can simplify this fraction: $\frac{25}{100}=\frac{5}{20}=\frac{1}{4}$ .

Either way, we get the same answer.

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Example Question #2 : How To Find A Fraction From A Percentage

Convert $14\%$ into a fraction.

Possible Answers:

$\frac{1}{7}$

$\frac{7}{50}$

$\frac{7}{25}$

$\frac{1}{14}$

Correct answer:

$\frac{7}{50}$

Explanation:

Put the number over 100 and drop the percent sign. Then, reduce to simplest form.

$14\%=\frac{14}{100}=\frac{7}{50}$

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Example Question #3 : How To Find A Fraction From A Percentage

Convert $23\%$ into a fraction.

Possible Answers:

$\frac{23}{50}$

$\frac{1}{5}$

$\frac{1}{23}$

$\frac{23}{100}$

Correct answer:

$\frac{23}{100}$

Explanation:

Put the number over 100 and drop the percent sign. Then, reduce to simplest form.

$23\%=\frac{23}{100}$

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Example Question #4 : How To Find A Fraction From A Percentage

Convert $62\%$ into a fraction.

Possible Answers:

$\frac{1}{62}$

$\frac{3}{5}$

$\frac{31}{40}$

$\frac{31}{50}$

Correct answer:

$\frac{31}{50}$

Explanation:

Put the number over 100 and drop the percent sign. Then, reduce to simplest form.

$62\%=\frac{62}{100}=\frac{31}{50}$

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Example Question #4 : How To Find A Fraction From A Percentage

What is $14.5\%$ as a fraction?

Possible Answers:

$\frac{145}{100}$

$\frac{29}{200}$

$\frac{1}{14}$

Correct answer:

$\frac{29}{200}$

Explanation:

Put the number over 100 and drop the percent sign.

$14.5\%=\frac{14.5}{100}$

Multiply the numerator and denominator by to get rid of the decimal.

$\frac{14.5\times10}{100\times10}=\frac{145}{1000}$

Finally, reduce the fraction to get it in simplest form.

$\frac{145}{1000}=\frac{29}{200}$

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Example Question #476 : Number Concepts And Operations

What is $87.4\%$ as a fraction?

Possible Answers:

$\frac{439}{500}$

$\frac{1}{87}$

$\frac{437}{500}$

$\frac{4}{5}$

Correct answer:

$\frac{437}{500}$

Explanation:

Put the number over 100 and drop the percent sign.

$87.4\%=\frac{87.4}{100}$

Multiply the numerator and denominator by to get rid of the decimal.

$\frac{87.4\times10}{100\times10}=\frac{874}{1000}$

Finally, reduce the fraction to get it in simplest form.

$\frac{874}{1000}=\frac{437}{500}$

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Example Question #6 : How To Find A Fraction From A Percentage

What is $25.6\%$ as a fraction?

Possible Answers:

$\frac{1}{4}$

$\frac{32}{125}$

$\frac{64}{25}$

$\frac{64}{125}$

Correct answer:

$\frac{32}{125}$

Explanation:

Put the number over 100 and drop the percent sign.

$25.6\%=\frac{25.6}{100}$

Multiply the numerator and denominator by to get rid of the decimal.

$\frac{25.6\times10}{100\times10}=\frac{256}{1000}$

Finally, reduce the fraction to get it in simplest form.

$\frac{256}{1000}=\frac{32}{125}$

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Example Question #421 : Fractions

What is $94.6\%$ as a fraction?

Possible Answers:

$\frac{19}{20}$

$\frac{473}{1000}$

$\frac{1}{95}$

$\frac{473}{500}$

Correct answer:

$\frac{473}{500}$

Explanation:

Put the number over 100 and drop the percent sign.

$94.6\%=\frac{94.6}{100}$

Multiply the numerator and denominator by to get rid of the decimal.

$\frac{94.6\times10}{100\times10}=\frac{946}{1000}$

Finally, reduce the fraction to get it in simplest form.

$\frac{946}{1000}=\frac{473}{500}$

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Example Question #8 : How To Find A Fraction From A Percentage

What is $32.9\%$ as a fraction?

Possible Answers:

$\frac{8}{25}$

$\frac{329}{1000}$

$\frac{329}{100}$

$\frac{16}{25}$

Correct answer:

$\frac{329}{1000}$

Explanation:

Put the number over 100 and drop the percent sign.

$32.9\%=\frac{32.9}{100}$

Multiply the numerator and denominator by to get rid of the decimal.

$\frac{32.9\times10}{100\times10}=\frac{329}{1000}$

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Example Question #9 : How To Find A Fraction From A Percentage

What is $58.4\%$ as a fraction?

Possible Answers:

$\frac{29}{50}$

$\frac{73}{125}$

$\frac{583}{1000}$

$\frac{4}{5}$

Correct answer:

$\frac{73}{125}$

Explanation:

Put the number over 100 and drop the percent sign.

$58.4\%=\frac{58.4}{100}$

Multiply the numerator and denominator by to get rid of the decimal.

$\frac{58.4\times10}{100\times10}=\frac{584}{1000}$

Finally, reduce the fraction to get it in simplest form.

$\frac{584}{1000}=\frac{73}{125}$

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All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

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SSAT Upper Level Math : How to find a fraction from a percentage

Study concepts, example questions & explanations for SSAT Upper Level Math

All SSAT Upper Level Math Resources

Example Questions

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

Example Question #2 : How To Find A Fraction From A Percentage

Example Question #3 : How To Find A Fraction From A Percentage

Example Question #4 : How To Find A Fraction From A Percentage

Example Question #4 : How To Find A Fraction From A Percentage

Example Question #476 : Number Concepts And Operations

Example Question #6 : How To Find A Fraction From A Percentage

Example Question #421 : Fractions

Example Question #8 : How To Find A Fraction From A Percentage

Example Question #9 : How To Find A Fraction From A Percentage

All SSAT Upper Level Math Resources

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