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

Card 0 of 48

Question

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

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?

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?

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?

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 .

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

Compare your answer with the correct one above

Question

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

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 .

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

Compare your answer with the correct one above

Question

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

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?

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 .

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

Compare your answer with the correct one above

Question

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

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?

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?

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?

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?

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 .

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

Compare your answer with the correct one above

Question

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

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 .

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

Compare your answer with the correct one above

Question

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

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 .

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

Compare your answer with the correct one above

Question

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

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 .

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

Compare your answer with the correct one above

Question

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

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 .

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

Compare your answer with the correct one above

Question

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

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 .

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

Compare your answer with the correct one above

Question

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

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 .

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

Compare your answer with the correct one above

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?

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 .

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

Compare your answer with the correct one above

Question

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

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 .

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

Compare your answer with the correct one above

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