How to find percentage from a fraction

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

Questions 1 - 10

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

Explanation

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 .

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

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

Explanation

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?

Explanation

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.

Explanation

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.

Explanation

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 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?

Explanation

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

Explanation

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

Explanation

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