How to find a fraction from a percentage

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SSAT Upper Level Quantitative › How to find a fraction from a percentage

Questions 1 - 10

1

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

Dividing the number by

Dividing the number by

Dividing the number by

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

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

Explanation

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.

2

What is as a fraction?

$\frac{29}{200}$

$\frac{1}{14}$

$\frac{145}{100}$

Explanation

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.

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

3

What is as a fraction?

$\frac{329}{1000}$

$\frac{8}{25}$

$\frac{16}{25}$

$\frac{329}{100}$

Explanation

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.

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

4

What is as a fraction?

$\frac{73}{125}$

$\frac{583}{1000}$

$\frac{29}{50}$

$\frac{4}{5}$

Explanation

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.

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

5

What is as a fraction?

$\frac{121}{500}$

$\frac{121}{50}$

$\frac{6}{25}$

$\frac{119}{500}$

Explanation

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.

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

6

Convert into a fraction.

$\frac{31}{50}$

$\frac{1}{62}$

$\frac{31}{40}$

$\frac{3}{5}$

Explanation

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

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

7

What is as a fraction?

$\frac{42}{125}$

$\frac{84}{25}$

$\frac{336}{701}$

$\frac{1}{3}$

Explanation

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.

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

8

What is as a fraction?

$\frac{473}{500}$

$\frac{473}{1000}$

$\frac{1}{95}$

$\frac{19}{20}$

Explanation

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.

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

9

What is as a fraction?

$\frac{437}{500}$

$\frac{1}{87}$

$\frac{4}{5}$

$\frac{439}{500}$

Explanation

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.

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

10

Convert into a fraction.

$\frac{7}{50}$

$\frac{1}{14}$

$\frac{7}{25}$

$\frac{1}{7}$

Explanation

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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