How to find fractional percentages - SSAT Upper Level Quantitative

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Question

What percent of 12,000 is 3,300?

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Answer

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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Question

Convert into a percent.

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Answer

First evaluate .

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

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Question

Convert into a percent.

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Answer

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

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Question

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

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Answer

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}$=0.0017$

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Question

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

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Answer

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}$

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Question

What percentage of is ? Round to the nearest hundredth.

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Answer

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 .

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Question

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.

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Answer

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.

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Question

What percent of 12,000 is 3,300?

Tap to reveal answer

Answer

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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Question

Convert into a percent.

Tap to reveal answer

Answer

First evaluate .

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

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Question

Convert into a percent.

Tap to reveal answer

Answer

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

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Question

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

Tap to reveal answer

Answer

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}$=0.0017$

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Question

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

Tap to reveal answer

Answer

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}$

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Question

What percentage of is ? Round to the nearest hundredth.

Tap to reveal answer

Answer

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 .

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Question

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.

Tap to reveal answer

Answer

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.

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Question

What percent of 12,000 is 3,300?

Tap to reveal answer

Answer

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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Question

Convert into a percent.

Tap to reveal answer

Answer

First evaluate .

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

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Question

Convert into a percent.

Tap to reveal answer

Answer

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

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Question

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

Tap to reveal answer

Answer

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}$=0.0017$

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Question

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

Tap to reveal answer

Answer

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}$

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Question

What percentage of is ? Round to the nearest hundredth.

Tap to reveal answer

Answer

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 .

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Knew It

How to find fractional percentages - SSAT Upper Level Quantitative

What percent of 12,000 is 3,300?

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

Convert into a percent.

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

Convert into a percent.

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

Which of the following best represents ?

The true value of the percentage can be converted by dividing . The correct value of is .

Find the sum of . Express the final answer as a fraction.

Convert the into fraction form by dividing this by . Add the two fractions. First find the common denominator by multiplying the current denominators together. Now convert each fraction into an equivalent fraction with the new, common denominator.

What percentage of is ? Round to the nearest hundredth.

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

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.

What percent of 12,000 is 3,300?

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

Convert into a percent.

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

Convert into a percent.

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

Which of the following best represents ?

The true value of the percentage can be converted by dividing . The correct value of is .

Find the sum of . Express the final answer as a fraction.

Convert the into fraction form by dividing this by . Add the two fractions. First find the common denominator by multiplying the current denominators together. Now convert each fraction into an equivalent fraction with the new, common denominator.

What percentage of is ? Round to the nearest hundredth.

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

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.

What percent of 12,000 is 3,300?

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

Convert into a percent.

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

Convert into a percent.

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

Which of the following best represents ?

The true value of the percentage can be converted by dividing . The correct value of is .

Find the sum of . Express the final answer as a fraction.

Convert the into fraction form by dividing this by . Add the two fractions. First find the common denominator by multiplying the current denominators together. Now convert each fraction into an equivalent fraction with the new, common denominator.

What percentage of is ? Round to the nearest hundredth.

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

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$

First evaluate .

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

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

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}$=0.0017$

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

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 .

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.

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$

First evaluate .

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

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

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}$=0.0017$

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

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 .

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.

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$

First evaluate .

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

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

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}$=0.0017$

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

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 .