How to find a fraction from a percentage - SSAT Upper Level Quantitative (Math)

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Question

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

Answer

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

of this number is , which is divided by .

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

$=\frac{25}{100}$

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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Question

Convert into a fraction.

Answer

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

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

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Question

Convert into a fraction.

Answer

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

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

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Question

Convert into a fraction.

Answer

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

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

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Question

What is as a fraction?

Answer

Put the number over 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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Question

What is as a fraction?

Answer

Put the number over 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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Question

What is as a fraction?

Answer

Put the number over 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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Question

What is as a fraction?

Answer

Put the number over 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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Question

What is as a fraction?

Answer

Put the number over 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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Question

What is as a fraction?

Answer

Put the number over 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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Question

What is as a fraction?

Answer

Put the number over and drop the percent sign.

$24.2%=\frac{24.2}{100}$

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

$\frac{24.2\times10}{100\times10}=\frac{242}{1000}$

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

$\frac{242}{1000}=\frac{121}{500}$

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Question

What is as a fraction?

Answer

Put the number over and drop the percent sign.

$65.8%=\frac{65.8}{100}$

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

$\frac{65.8\times10}{100\times10}=\frac{658}{1000}$

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

$\frac{658}{1000}=\frac{329}{500}$

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Question

What is as a fraction?

Answer

Put the number over and drop the percent sign.

$33.6%=\frac{33.6}{100}$

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

$\frac{33.6\times10}{100\times10}=\frac{336}{1000}$

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

$\frac{336}{1000}=\frac{42}{125}$

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