Fractions and Percentage

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SSAT Upper Level Quantitative › Fractions and Percentage

Questions 1 - 10

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

Dividing the number by

Moving the decimal point one place to the left, then doubling the result

Moving the decimal point one place to the left, then tripling the result

Explanation

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 $\frac{7}{9}$ 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 .

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

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

Dividing the number by

Moving the decimal point one place to the left, then doubling the result

Moving the decimal point one place to the left, then tripling the result

Explanation

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 $\frac{7}{9}$ 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 .

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

$\frac{6}{13}$ 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 .

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

What is as a fraction?

$\frac{29}{200}$

$\frac{1}{14}$

$\frac{145}{100}$

Explanation

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.

$\frac{145}{1000}=\frac{29}{200}$

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 .

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

What is as a fraction?

$\frac{29}{200}$

$\frac{1}{14}$

$\frac{145}{100}$

Explanation

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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