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SAT Math : SAT Mathematics

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #1 : Percentage

Write 7.5% as a fraction.

Possible Answers:

$\frac{14}{100}$

$\frac{15}{2000}$

$\frac{7}{5}$

$\frac{7.5}{10}$

$\frac{3}{40}$

Correct answer:

$\frac{3}{40}$

Explanation:

First convert the percentage to a decimal:

7.5% = .075

Then turn this into a fraction:

.075 = 75/1000

Simplify by dividing the numerator and denominator by 25:

75/1000 = 3/40

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Example Question #2 : Percentage

25% of 64 is equal to 5% of what number?

Possible Answers:

112

108

320

Correct answer:

320

Explanation:

25% of 64 is 16 (you can find this with a calculator by 0.25 * 64). Divide 16 by 0.05 (or 1/20) to get the value of the number 16 is 5% of. (Or mental math of 16 * 20)

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Example Question #1 : Percentage

Turn the following percentage into a fraction:

$65\%$

Possible Answers:

$\frac{17}{20}$

$\frac{3}{5}$

$\frac{13}{20}$

$\frac{3}{4}$

Correct answer:

$\frac{13}{20}$

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:

$65\%\rightarrow \frac{65}{100}$

From here, simplify the fraction as necessary:

$\frac{65}{100}\div \frac{5}{5}=\frac{13}{20}$

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Example Question #1 : Percentage

Turn the following percentage into a fraction:

$46\%$

Possible Answers:

$\frac{27}{50}$

$\frac{12}{25}$

$\frac{13}{25}$

$\frac{23}{50}$

Correct answer:

$\frac{23}{50}$

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:

$46\%\rightarrow \frac{46}{100}$

From here, simplify the fraction as necessary:

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

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Example Question #1 : Percentage

Turn the following percentage into a fraction:

$72\%$

Possible Answers:

$\frac{17}{25}$

$\frac{18}{25}$

$\frac{16}{25}$

$\frac{19}{20}$

Correct answer:

$\frac{18}{25}$

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:

$72\%\rightarrow \frac{72}{100}$

From here, simplify the fraction as necessary:

$\frac{72}{100}\div \frac{2}{2}=\frac{36}{50}\div \frac{2}{2}=\frac{18}{25}$

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Example Question #171 : Arithmetic

Turn the following percentage into a fraction:

$88\%$

Possible Answers:

$\frac{24}{25}$

$\frac{22}{25}$

$\frac{23}{25}$

$\frac{21}{25}$

Correct answer:

$\frac{22}{25}$

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:

$88\%\rightarrow \frac{88}{100}$

From here, simplify the fraction as necessary:

$\frac{88}{100}\div \frac{4}{4}=\frac{22}{25}$

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Example Question #1 : Percentage

Turn the following percentage into a fraction:

$44\%$

Possible Answers:

$\frac{12}{25}$

$\frac{11}{50}$

$\frac{11}{25}$

$\frac{11}{20}$

Correct answer:

$\frac{11}{25}$

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:

$44\%\rightarrow \frac{44}{100}$

From here, simplify the fraction as necessary:

$\frac{44}{100}\div \frac{4}{4}=\frac{11}{25}$

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Example Question #1 : Fractions And Percentage

Turn the following percentage into a fraction:

$15\%$

Possible Answers:

$\frac{3}{20}$

$\frac{7}{10}$

$\frac{9}{20}$

$\frac{1}{5}$

Correct answer:

$\frac{3}{20}$

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:

$15\%\rightarrow \frac{15}{100}$

From here, simplify the fraction as necessary:

$\frac{15}{100}\div \frac{5}{5}=\frac{3}{20}$

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Example Question #11 : Percentage

Turn the following percentage into a fraction:

$2\%$

Possible Answers:

$\frac{2}{25}$

$\frac{1}{50}$

$\frac{1}{20}$

$\frac{1}{25}$

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 #12 : Percentage

Turn the following percentage into a fraction:

$28\%$

Possible Answers:

$\frac{7}{25}$

$\frac{14}{25}$

$\frac{7}{20}$

$\frac{7}{15}$

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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SAT Math : SAT Mathematics

Study concepts, example questions & explanations for SAT Math

All SAT Math Resources

Example Questions

Example Question #1 : Percentage

Example Question #2 : Percentage

Example Question #1 : Percentage

Example Question #1 : Percentage

Example Question #1 : Percentage

Example Question #171 : Arithmetic

Example Question #1 : Percentage

Example Question #1 : Fractions And Percentage

Example Question #11 : Percentage

Example Question #12 : Percentage

All SAT Math Resources

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