Fractions and Percentage - SSAT Upper Level Quantitative

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Convert into a fraction.

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

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

Convert into a fraction.

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

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

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

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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.

Convert into a fraction.

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

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

What is as a fraction?

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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}$

What is as a fraction?

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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}$

What is as a fraction?

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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}$

What is as a fraction?

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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}$

What is as a fraction?

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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}$

What is as a fraction?

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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}$

What is as a fraction?

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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}$

What is as a fraction?

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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}$

What is as a fraction?

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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}$

What percent of 12,000 is 3,300?

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To find out what percent a part is of a whole , evaluate the expression

$$\frac{P}{W}$ \cdot 100 = $\frac{3,300}{12,000}$ \cdot 100 = 27.5$

Convert into a percent.

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First evaluate .

To convert a decimal to a percentage, multiply by 100 percent.

Convert into a percent.

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To convert a decimal number into a percent, multiply the decimal number by .

Which of the following best represents $$\frac{1}{6}$%$ ?

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The true value of the percentage $$\frac{1}{6}$%$ can be converted by dividing .

The correct value of $$\frac{1}{6}$%$ is $\frac{1}{600}$ .

$$\frac{1}{600}$= 0.001$\overline{6}$=0.0017$

Find the sum of $$\frac{1}{3}$+45%$ . Express the final answer as a fraction.

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Convert the into fraction form by dividing this by .

$\frac{45%}{100%}$ = $\frac{9}{20}$

Add the two fractions.

First find the common denominator by multiplying the current denominators together.

$3\cdot 20=60$

Now convert each fraction into an equivalent fraction with the new, common denominator.

$\frac{1\cdot 20}{3\cdot 20}$+\frac{9\cdot 3}{20\cdot 3}$ =\frac{20}{60}$+\frac{27}{60}$=\frac{47}{60}$

What percentage of is ? Round to the nearest hundredth.

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Set up a mathematical equation such that the percentage of the number is divided by 100. Solve for the unknown value.

$\left($\frac{x}{100}\right)(97)=4$

$x=4\left($\frac{100}{97}\right)=\frac{400}{97}$= 4.1237$

The correct answer is .

Each of a set of balls is marked with a letter of the English alphabet. Each vowel is represented by five balls; each consonant, three. What percent of the balls are marked with vowels? (Nearest whole percent)

Note: For purposes of this problem, "Y" is considered a consonant.

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There are five vowels, each represented by five balls; this is a total of

$5 \times 5 = 25$

balls with vowels.

There are twenty-one consonants, each represented by three balls; this is a total of

$21 \times 3 = 63$

balls with consonants.

There are balls total of which 25 out of 88 are marked with vowels. This represents

$$\frac{25}{88}$ \times 100 % \approx 28.4 %$

of the balls, so 28% is the correct choice.