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SAT Math : How to find a fraction from a percentage

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Example Questions

Example Question #11 : Percentage

Turn the following percentage into a fraction:

$2\%$

Possible Answers:

$\frac{1}{50}$

$\frac{2}{25}$

$\frac{1}{20}$

$\frac{1}{25}$

Correct answer:

$\frac{1}{50}$

Explanation:

Since a percentage is a "part of 100" to turn it into a fraction we take the original number in the percent and place it over 100:

$2\%\rightarrow \frac{2}{100}$

From here, simplify the fraction as necessary:

$\frac{2}{100}\div \frac{2}{2}=\frac{1}{50}$

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Example Question #171 : Arithmetic

Turn the following percentage into a fraction:

$28\%$

Possible Answers:

$\frac{14}{25}$

$\frac{7}{20}$

$\frac{7}{25}$

$\frac{7}{15}$

Correct answer:

$\frac{7}{25}$

Explanation:

Since a percentage is a "part of 100" to turn it into a fraction we take the original number in the percent and place it over 100:

$28\%\rightarrow \frac{28}{100}$

From here, simplify the fraction as necessary:

$\frac{28}{100}\div \frac{4}{4}=\frac{7}{25}$

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Example Question #172 : Arithmetic

Turn the following percentage into a fraction:

$92\%$

Possible Answers:

$\frac{23}{50}$

$\frac{19}{25}$

$\frac{23}{25}$

$\frac{21}{25}$

Correct answer:

$\frac{23}{25}$

Explanation:

Since a percentage is a "part of 100" to turn it into a fraction we take the original number in the percent and place it over 100:

$92\%\rightarrow \frac{92}{100}$

From here, simplify the fraction as necessary:

$\frac{92}{100}\div \frac{2}{2}=\frac{46}{50}\div \frac{2}{2}=\frac{23}{25}$

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Example Question #173 : Arithmetic

Turn the following percentage into a fraction:

$36\%$

Possible Answers:

$\frac{9}{20}$

$\frac{12}{25}$

$\frac{9}{25}$

$\frac{11}{25}$

Correct answer:

$\frac{9}{25}$

Explanation:

Since a percentage is a "part of 100" to turn it into a fraction we take the original number in the percent and place it over 100:

$36\%\rightarrow \frac{36}{100}$

From here, simplify the fraction as necessary:

$\frac{36}{100}\div \frac{4}{4}=\frac{9}{25}$

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Example Question #181 : Arithmetic

What is the fractional equivalent to 30% of a given a is 12.

Possible Answers:

$\frac{3}{2}$

$\frac{18}{5}$

$\frac{2}{3}$

Correct answer:

$\frac{18}{5}$

Explanation:

First write the question out in equation form.

$30\% \times a$

Since the question states that

a=12

the equation becomes,

$30\%\times 12$ .

From here, convert 30% into a fraction.

$30\%\Rightarrow\frac{30}{100}=\frac{3}{10}$

Substituting the fraction in for the percentage the equation becomes,

$\frac{3}{10}\times 12$

$\frac{3\times12}{10}=\frac{36}{10}=\frac{18}{5}$

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Example Question #11 : How To Find A Fraction From A Percentage

Turn the following percentage into a fraction:

$22\%$

Possible Answers:

$\frac{6}{25}$

$\frac{13}{20}$

$\frac{9}{20}$

$\frac{11}{50}$

Correct answer:

$\frac{11}{50}$

Explanation:

Since a percentage is a "part of 100" to turn it into a fraction we take the original number in the percent and place it over 100:

$22\%\rightarrow \frac{22}{100}$

From here, simplify the fraction as necessary:

$\frac{22}{100}\div \frac{2}{2}=\frac{11}{50}$

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Example Question #12 : How To Find A Fraction From A Percentage

Turn the following percentage into a fraction:

$55\%$

Possible Answers:

$\frac{11}{20}$

$\frac{11}{25}$

$\frac{3}{5}$

$\frac{13}{50}$

Correct answer:

$\frac{11}{20}$

Explanation:

Since a percentage is a "part of 100" to turn it into a fraction we take the original number in the percent and place it over 100:

$55\%\rightarrow \frac{55}{100}$

From here, simplify the fraction as necessary:

$\frac{55}{100}\div \frac{5}{5}=\frac{11}{20}$

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SAT Math : How to find a fraction from a percentage

Study concepts, example questions & explanations for SAT Math

All SAT Math Resources

Example Questions

Example Question #11 : Percentage

Example Question #171 : Arithmetic

Example Question #172 : Arithmetic

Example Question #173 : Arithmetic

Example Question #181 : Arithmetic

Example Question #11 : How To Find A Fraction From A Percentage

Example Question #12 : How To Find A Fraction From A Percentage

All SAT Math Resources

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