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SSAT Upper Level Math : How to find fractional percentages

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Example Questions

Example Question #1 : How To Find Fractional Percentages

What percent of 12,000 is 3,300?

Possible Answers:

27.5%

25%

26%

28.5%

24.5%

Correct answer:

27.5%

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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Example Question #2 : How To Find Fractional Percentages

Convert 0.47+0.25 into a percent.

Possible Answers:

$720\%$

$0.72\%$

0.72

$72\%$

$7.2\%$

Correct answer:

$72\%$

Explanation:

First evaluate 0.47+0.25 .

0.47+0.25=0.72

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

$0.72(100\%)=72\%$

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Example Question #3 : How To Find Fractional Percentages

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

Possible Answers:

0.017

0.0017

0.17

1.7

Correct answer:

0.0017

Explanation:

The true value of the percentage $\frac{1}{6}\%$ can be converted by dividing $100\%$ .

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

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

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Example Question #3 : How To Find Fractional Percentages

Convert 0.041 into a percent.

Possible Answers:

$0.00041\%$

$4.1\%$

$0.41\%$

$410\%$

$\frac{4.1}{100}\%$

Correct answer:

$4.1\%$

Explanation:

To convert a decimal number into a percent, multiply the decimal number by $100\%$ .

$0.041(100\%)=4.1\%$

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Example Question #3 : How To Find Fractional Percentages

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

Possible Answers:

$\frac{10}{23}$

$\frac{3}{4}$

$\frac{17}{25}$

$\frac{57}{94}$

$\frac{47}{60}$

Correct answer:

$\frac{47}{60}$

Explanation:

Convert the $45\%$ into fraction form by dividing this by $100\%$ .

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

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.

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

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Example Question #4 : How To Find Fractional Percentages

What percentage of is ? Round to the nearest hundredth.

Possible Answers:

$4.28\%$

$4.16\%$

$4.12\%$

$4.07\%$

$4.53\%$

Correct answer:

$4.12\%$

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 $4.12\%$ .

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Example Question #4 : How To Find Fractional Percentages

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.

Possible Answers:

$24 \%$

$19 \%$

$40 \%$

$28 \%$

Correct answer:

$28 \%$

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 25 + 63 = 88 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.

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SSAT Upper Level Math : How to find fractional percentages

Study concepts, example questions & explanations for SSAT Upper Level Math

All SSAT Upper Level Math Resources

Example Questions

Example Question #1 : How To Find Fractional Percentages

Example Question #2 : How To Find Fractional Percentages

Example Question #3 : How To Find Fractional Percentages

Example Question #3 : How To Find Fractional Percentages

Example Question #3 : How To Find Fractional Percentages

Example Question #4 : How To Find Fractional Percentages

Example Question #4 : How To Find Fractional Percentages

All SSAT Upper Level Math Resources

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