How to find fractional percentages

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SSAT Upper Level Quantitative › How to find fractional percentages

Questions 1 - 7

1

Which of the following best represents $\frac{1}{6}%$ ?

Explanation

The true value of the percentage $\frac{1}{6}%$ can be converted by dividing .

The correct value of $\frac{1}{6}%$ is $\frac{1}{600}$ .

$\frac{1}{600}= 0.001\overline{6}=0.0017$

2

Each of a set of balls is marked with a letter of the English alphabet. Each vowel is represented by five balls; each consonant, three. What percent of the balls are marked with vowels? (Nearest whole percent)

Note: For purposes of this problem, "Y" is considered a consonant.

Explanation

There are five vowels, each represented by five balls; this is a total of

$5 \times 5 = 25$

balls with vowels.

There are twenty-one consonants, each represented by three balls; this is a total of

$21 \times 3 = 63$

balls with consonants.

There are balls total of which 25 out of 88 are marked with vowels. This represents

$\frac{25}{88} \times 100 % \approx 28.4 %$

of the balls, so 28% is the correct choice.

3

Find the sum of $\frac{1}{3}+45%$ . Express the final answer as a fraction.

$\frac{47}{60}$

$\frac{17}{25}$

$\frac{3}{4}$

$\frac{10}{23}$

$\frac{57}{94}$

Explanation

Convert the into fraction form by dividing this by .

$\frac{45%}{100%} = \frac{9}{20}$

Add the two fractions.

First find the common denominator by multiplying the current denominators together.

$3\cdot 20=60$

Now convert each fraction into an equivalent fraction with the new, common denominator.

$\frac{1\cdot 20}{3\cdot 20}+\frac{9\cdot 3}{20\cdot 3} =\frac{20}{60}+\frac{27}{60}=\frac{47}{60}$

4

What percentage of is ? Round to the nearest hundredth.

Explanation

Set up a mathematical equation such that the percentage of the number is divided by 100. Solve for the unknown value.

$\left(\frac{x}{100}\right)(97)=4$

$x=4\left(\frac{100}{97}\right)=\frac{400}{97}= 4.1237$

The correct answer is .

5

Convert into a percent.

Explanation

First evaluate .

To convert a decimal to a percentage, multiply by 100 percent.

6

Convert into a percent.

$\frac{4.1}{100}%$

Explanation

To convert a decimal number into a percent, multiply the decimal number by .

7

What percent of 12,000 is 3,300?

27.5%

25%

28.5%

26%

24.5%

Explanation

To find out what percent a part is of a whole , evaluate the expression

$\frac{P}{W} \cdot 100 = \frac{3,300}{12,000} \cdot 100 = 27.5$

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