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Algebra 1 : How to find a fraction from a percentage

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Example Question #31 : How To Find A Fraction From A Percentage

Find the fractional equivalent of the following percent:

$84\%$

Possible Answers:

$\frac{21}{25}$

$\frac{23}{25}$

$\frac{24}{25}$

$\frac{22}{25}$

Correct answer:

$\frac{21}{25}$

Explanation:

To find the fractional equivalent of a percent, we place that number over 100 and reduce the fraction if necessary:

$84\%\rightarrow \frac{84}{100}\div \frac{4}{4}=\frac{21}{25}$

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Example Question #32 : How To Find A Fraction From A Percentage

Find the fractional equivalent of the following percent:

$55\%$

Possible Answers:

$\frac{13}{20}$

$\frac{11}{20}$

$\frac{14}{23}$

$\frac{6}{15}$

Correct answer:

$\frac{11}{20}$

Explanation:

To find the fractional equivalent of a percent, we place that number over 100 and reduce the fraction if necessary:

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

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Example Question #33 : How To Find A Fraction From A Percentage

Find the fractional equivalent of the following percent:

$92\%$

Possible Answers:

$\frac{23}{25}$

$\frac{21}{25}$

$\frac{24}{25}$

$\frac{22}{25}$

Correct answer:

$\frac{23}{25}$

Explanation:

To find the fractional equivalent of a percent, we place that number over 100 and reduce the fraction if necessary:

$92\%\rightarrow \frac{92}{100}\div \frac{4}{4}=\frac{23}{25}$

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Example Question #34 : How To Find A Fraction From A Percentage

Find the fractional equivalent of the following percent:

$65\%$

Possible Answers:

$\frac{13}{20}$

$\frac{7}{10}$

$\frac{17}{20}$

$\frac{3}{4}$

Correct answer:

$\frac{13}{20}$

Explanation:

To find the fractional equivalent of a percent, we place that number over 100 and reduce the fraction if necessary:

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

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Example Question #35 : How To Find A Fraction From A Percentage

Which of the following is an expression of $125\%$ as a fraction?

Possible Answers:

$\frac{5}4$

$\frac{4}{5}$

$\frac{8}{5}$

$\frac{4}{3}$

Correct answer:

$\frac{5}4$

Explanation:

To express a percent as a fraction, simply put the percent over 100 and simplify:

$\frac{125}{100}=\frac{25}{20}=\frac{5}{4}$

Therefore, our answer is $\frac{5}4$

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Example Question #36 : How To Find A Fraction From A Percentage

What is the fraction value of $46\%$ ?

Possible Answers:

$\frac{12}{25}$

$\frac{1}{4}$

$\frac{9}{20}$

$\frac{46}{100}$

$\frac{23}{50}$

Correct answer:

$\frac{23}{50}$

Explanation:

$46\%=\frac{46}{100}\\ \frac{46}{100}=\frac{23}{50}$

Since is prime, we cannot simplify this fraction any further.

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Example Question #37 : How To Find A Fraction From A Percentage

Find the fraction value of $62.5\%$

Possible Answers:

$\frac{1}{2}$

$\frac{31}{50}$

$\frac{5}{8}$

$\frac{6}{7}$

$\frac{5}{9}$

Correct answer:

$\frac{5}{8}$

Explanation:

$62.5\%=62\frac{1}{2}\cdot\frac{2}{200}=\frac{125}{200}\\ \frac{125}{200}=\frac{25}{40}=\frac{5}{8}$

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Example Question #36 : How To Find A Fraction From A Percentage

What is the fractional equivalent of $30\%$ ?

Possible Answers:

$\frac{3}{10}$

$\frac{2}{5}$

$\frac{1}{5}$

$\frac{6}{10}$

$\frac{3}{5}$

Correct answer:

$\frac{3}{10}$

Explanation:

To convert a percentage into a fraction, first convert the percentage into a decimal by moving the decimal to the left twice. Then, place the digits of the decimal as the numerator of your fraction, with a one followed by a number of zeroes equal to the number of digits as the denominator. Then simplify if necessary. The best way to find your answer is:

$30\%$ = .3

$.3 = \frac{3}{10}$

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Example Question #37 : How To Find A Fraction From A Percentage

What is the fractional equivalent of $78\%$ ? Simplify your answer.

Possible Answers:

$\frac{39}{500}$

$\frac{39}{100}$

$\frac{78}{100}$

$\frac{39}{50}$

$\frac{78}{10}$

Correct answer:

$\frac{39}{50}$

Explanation:

$78\%$ = .78

$.78 = \frac{78}{100} = \frac{39}{50}$

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Example Question #31 : How To Find A Fraction From A Percentage

What is the fractional equivalent of $31\%$ ?

Possible Answers:

$\frac{31}{1000}$

$\frac{31}{50}$

$\frac{31}{90}$

$\frac{31}{100}$

$\frac{62}{100}$

Correct answer:

$\frac{31}{100}$

Explanation:

$\frac{31}{100}$

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Algebra 1 : How to find a fraction from a percentage

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #31 : How To Find A Fraction From A Percentage

Example Question #32 : How To Find A Fraction From A Percentage

Example Question #33 : How To Find A Fraction From A Percentage

Example Question #34 : How To Find A Fraction From A Percentage

Example Question #35 : How To Find A Fraction From A Percentage

Example Question #36 : How To Find A Fraction From A Percentage

Example Question #37 : How To Find A Fraction From A Percentage

Example Question #36 : How To Find A Fraction From A Percentage

Example Question #37 : How To Find A Fraction From A Percentage

Example Question #31 : How To Find A Fraction From A Percentage

All Algebra 1 Resources

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