Fractions and Percentage - SSAT Upper Level Quantitative

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Convert $\frac{7}{9}$ to a percent.

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Percent also means out of one hundred. Set up the following ratio to find the percent value.

$\frac{7}{9}$=\frac{x}{100}$

Now, solve for , which will be the percent value because in the ratio we set up, is the numerator of a fraction with a denominator of .

$x=\frac{700}{9}$=77.8$

In a classroom, out of students own dogs. What percent of the class owns a dog?

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Percent also means out of one hundred. Set up the following ratio to find the percent value.

$\frac{9}{11}$=\frac{x}{100}$

Now, solve for , which will be the percent value because in the ratio we set up, is the numerator of a fraction with a denominator of .

$x=\frac{900}{11}$=81.8$

$\frac{6}{13}$ of Julian's songs are rock songs. What percentage of his songs are rock songs?

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This question wants you to find the percentage equivalent of $\frac{6}{13}$ .

Percent also means out of one hundred. Set up the following ratio to find the percent value.

$\frac{6}{13}$=\frac{x}{100}$

Now, solve for , which will be the percent value because in the ratio we set up, is the numerator of a fraction with a denominator of .

$x=\frac{600}{13}$=46.2$

Out of all of Ambrose's computer games, $\frac{5}{8}$ are simulation games. What percentage of Ambrose's games are simulation games?

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This question is asking you to convert $\frac{5}{8}$ into a percent.

Percent also means out of one hundred. Set up the following ratio to find the percent value.

$\frac{5}{8}$=\frac{x}{100}$

Now, solve for , which will be the percent value because in the ratio we set up, is the numerator of a fraction with a denominator of .

$x=\frac{500}{8}$=62.5$

Convert $\frac{15}{22}$ into a percentage.

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Percent also means out of one hundred. Set up the following ratio to find the percent value.

$\frac{15}{22}$=\frac{x}{100}$

Now, solve for , which will be the percent value because in the ratio we set up, is the numerator of a fraction with a denominator of .

$x=\frac{1500}{22}$=68.2$

Express $\frac{5}{6}$ as a percentage.

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Percent also means out of one hundred. Set up the following ratio to find the percent value.

$\frac{5}{6}$=\frac{x}{100}$

Now, solve for , which will be the percent value because in the ratio we set up, is the numerator of a fraction with a denominator of .

$x=\frac{500}{6}$=83.3$

In a poll, out of people claimed that chocolate cake was their favorite dessert. What percentage of people said chocolate cake was their favorite dessert?

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The question is asking you to convert $\frac{3}{8}$ into a percentage.

Percent also means out of one hundred. Set up the following ratio to find the percent value.

$\frac{3}{8}$=\frac{x}{100}$

Now, solve for , which will be the percent value because in the ratio we set up, is the numerator of a fraction with a denominator of .

$x=\frac{300}{8}$=37.5$

In a survey, out of people said that their favorite sport was ice hockey. What percent of respondents' favorite sport is ice hockey?

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The question is asking you to convert $\frac{12}{15}$ into a percent.

Percent also means out of one hundred. Set up the following ratio to find the percent value.

$\frac{12}{15}$=\frac{x}{100}$

Now, solve for , which will be the percent value because in the ratio we set up, is the numerator of a fraction with a denominator of .

$x=\frac{1200}{15}$=80$

In a poll of students, of them said math was their favorite subject. What percentage of students claimed math was their favorite subject?

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The question is asking you to convert the fraction $\frac{45}{50}$ into a percentage.

Percent also means out of one hundred. Set up the following ratio to find the percent value.

$\frac{45}{50}$=\frac{x}{100}$

Now, solve for , which will be the percent value because in the ratio we set up, is the numerator of a fraction with a denominator of .

$x=\frac{4500}{50}$=90$

In a class of students, of them said they have a brother. What percentage of the class has a brother?

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The question is asking you to convert $\frac{15}{24}$ to a percent.

Percent also means out of one hundred. Set up the following ratio to find the percent value.

$\frac{15}{24}$=\frac{x}{100}$

Now, solve for , which will be the percent value because in the ratio we set up, is the numerator of a fraction with a denominator of .

$x=\frac{1500}{24}$=62.5$

In a group of athletes, stated that they received at least some form of injury in the past year. What percentage of the athletes received some form of injury in the past year?

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The question is asking you to find the percentage equivalent of $\frac{18}{30}$ .

Percent also means out of one hundred. Set up the following ratio to find the percent value.

$\frac{18}{30}$=\frac{x}{100}$

Now, solve for , which will be the percent value because in the ratio we set up, is the numerator of a fraction with a denominator of .

$x=\frac{1800}{30}$=60$

In a high school with students, of the students are freshmen. What percentage of the school population is freshmen?

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The question is asking you to find the percentage equivalent of $\frac{45}{120}$ .

Percent also means out of one hundred. Set up the following ratio to find the percent value.

$\frac{45}{120}$=\frac{x}{100}$

Now, solve for , which will be the percent value because in the ratio we set up, is the numerator of a fraction with a denominator of .

$x=\frac{4500}{120}$=37.5$

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}$$

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}$$

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}$$

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}$