Fractions and Percentage - SSAT Upper Level Quantitative

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Question

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

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Answer

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$

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Question

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

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Answer

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$

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Question

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

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Answer

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$

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Question

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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Answer

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$

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Question

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

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Answer

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$

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Question

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

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Answer

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$

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Question

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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Answer

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$

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Question

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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Answer

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$

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Question

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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Answer

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$

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Question

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

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Answer

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$

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Question

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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Answer

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$

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Question

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

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Answer

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$

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Question

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

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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.

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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.

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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.

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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?

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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?

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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?

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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?

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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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