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Algebra 1 : How to find a fraction from a percentage

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Example Questions

Example Question #72 : Fractions And Percentage

Convert $\small 47\%$ into a fraction.

Possible Answers:

$\frac{4.7}{100}$

$\frac{.47}{10}$

$\frac{47}{100}$

This percentage cannot be converted to a fraction.

$\small \frac{470}{1}$

Correct answer:

$\frac{47}{100}$

Explanation:

When converting percentages into fractions, the easiest way to go about it is to simply place the percentage given over one hundred.

So for this example, the percentage is $\small 47\%$ , meaning the it can be rewritten as $\small \frac{47}{100}$ .

Since $\small 47$ is a prime number, this fraction is already in its simplest form.

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Example Question #21 : How To Find A Fraction From A Percentage

What is the most-simplified fractional equivalent of $\small 22 \%$ ?

Possible Answers:

$\small \frac{11}{50}$

$\small \frac{1}{25}$

$\small \frac{22}{100}$

$\small \frac{1}{11}$

$\small \frac{1}{22}$

Correct answer:

$\small \frac{11}{50}$

Explanation:

"Percent" literally means "out of 100," so 22% is equivalent to $\small \frac{22}{100}$ . We can simplify this becasue both the numerator and the denominator are divisible by 2. Divide top and bottom by 2 to get $\small \frac{11}{50}$ .

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Example Question #21 : How To Find A Fraction From A Percentage

Find the fractional equivalent of the following percent:

$62\%$

Possible Answers:

$\frac{62}{50}$

$\frac{33}{50}$

$\frac{8}{25}$

$\frac{31}{50}$

Correct answer:

$\frac{31}{50}$

Explanation:

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

$62\%\rightarrow \frac{62}{50}\div \frac{2}{2}=\frac{31}{50}$

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Example Question #22 : How To Find A Fraction From A Percentage

Find the fractional equivalent of the following percent:

$13\%$

Possible Answers:

$\frac{13}{100}$

$\frac{13}{25}$

$\frac{13}{10}$

$\frac{13}{50}$

Correct answer:

$\frac{13}{100}$

Explanation:

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

$13\%\rightarrow \frac{13}{100}$

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Example Question #23 : How To Find A Fraction From A Percentage

Find the fractional equivalent of the following percent:

$47\%$

Possible Answers:

$\frac{47}{50}$

$\frac{47}{1000}$

$\frac{47}{100}$

$\frac{47}{75}$

Correct answer:

$\frac{47}{100}$

Explanation:

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

$47\%\rightarrow \frac{47}{100}$

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Example Question #24 : How To Find A Fraction From A Percentage

Find the fractional equivalent of the following percent:

$80\%$

Possible Answers:

$\frac{4}{5}$

$\frac{8}{11}$

$\frac{2}{5}$

$\frac{3}{5}$

Correct answer:

$\frac{4}{5}$

Explanation:

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

$80\%\rightarrow \frac{80}{100}\div \frac{10}{10}=\frac{8}{10}\div \frac{2}{2}=\frac{4}{5}$

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Example Question #25 : How To Find A Fraction From A Percentage

Find the fractional equivalent of the following percent:

$25\%$

Possible Answers:

$\frac{1}{5}$

$\frac{1}{4}$

$\frac{2}{5}$

$\frac{5}{21}$

Correct answer:

$\frac{1}{4}$

Explanation:

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

$25\%\rightarrow \frac{25}{100}\div \frac{25}{25}=\frac{1}{4}$

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Example Question #26 : How To Find A Fraction From A Percentage

Find the fractional equivalent of the following percent:

$32\%$

Possible Answers:

$\frac{8}{25}$

$\frac{2}{25}$

$\frac{8}{75}$

$\frac{4}{25}$

Correct answer:

$\frac{8}{25}$

Explanation:

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

$32\%\rightarrow \frac{32}{100}\div \frac{4}{4}=\frac{8}{25}$

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Example Question #27 : How To Find A Fraction From A Percentage

Find the fractional equivalent of the following percent:

$72\%$

Possible Answers:

$\frac{17}{25}$

$\frac{16}{25}$

$\frac{18}{25}$

$\frac{19}{25}$

Correct answer:

$\frac{18}{25}$

Explanation:

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

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

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Example Question #28 : How To Find A Fraction From A Percentage

Find the fractional equivalent of the following percent:

$5\%$

Possible Answers:

$\frac{1}{20}$

$\frac{3}{20}$

$\frac{1}{5}$

$\frac{1}{10}$

Correct answer:

$\frac{1}{20}$

Explanation:

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

$5\%\rightarrow \frac{5}{100}\div \frac{5}{5}=\frac{1}{20}$

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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 #72 : Fractions And Percentage

Example Question #21 : How To Find A Fraction From A Percentage

Example Question #21 : How To Find A Fraction From A Percentage

Example Question #22 : How To Find A Fraction From A Percentage

Example Question #23 : How To Find A Fraction From A Percentage

Example Question #24 : How To Find A Fraction From A Percentage

Example Question #25 : How To Find A Fraction From A Percentage

Example Question #26 : How To Find A Fraction From A Percentage

Example Question #27 : How To Find A Fraction From A Percentage

Example Question #28 : How To Find A Fraction From A Percentage

All Algebra 1 Resources

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