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Algebra 1 : Fractions and Percentage

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #41 : How To Find A Fraction From A Percentage

What is the fraction equivalence of 14%?

Possible Answers:

$\frac{50}{7}$

$\frac{7}{50}$

$\frac{20}{3}$

$\frac{3}{20}$

$\frac{12}{43}$

Correct answer:

$\frac{7}{50}$

Explanation:

This question is merely asking us to turn a percentage into it fraction form.

In order to do so, it's important to remember how a percent converts to its decimal form - by dividing by 100 . From a decimal form, the number can be easily turned into a fraction and simplified.

For example:

$\frac{14 percent}{100} = 0.14$

$0.14 = \frac{14}{100}$

Factor a two from the numerator and denominator to simplify the fraction to its simplest form.

$\frac{14}{100} = {\color{Blue} \frac{7}{50}}$

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Example Question #3131 : Algebra 1

What is the fractional equivalent of $14\%$ ? Simplify your answer.

Possible Answers:

12/100

14/100

7/50

12/50

6/50

Correct answer:

7/50

Explanation:

To convert a percentage into a fraction, first convert the percentage into a decimal by moving the decimal to the left twice. In other words, divide by one hundred.

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.

$14\%\rightarrow \frac{14}{100}$

Then simplify if necessary. In this particular case a two can be factored out of the numerator and denominator.

Thus, the answer is:

$\frac{14}{100}=\frac{2\cdot 7}{2\cdot 50}=\frac{7}{50}$

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Example Question #41 : How To Find A Fraction From A Percentage

What is the fractional equivalent of $49\%$ ?

Possible Answers:

9/50

49/1000

49/10

49/100

18/100

Correct answer:

49/100

Explanation:

To convert a percentage into a fraction, first convert the percentage into a decimal by moving the decimal to the left twice. In other words divide the percentage by one hundred.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.

$49\%\rightarrow \frac{49}{100}$

Then simplify if necessary. In this particular case there are no common factors that can be reduced in both the numerator and denominator.

Thus, the answer is:

49/100

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Example Question #46 : How To Find A Fraction From A Percentage

Find the fraction for $75 \%$ .

Possible Answers:

0.75

$\frac{2}{3}$

$\frac{5}{6}$

$\frac{7}{8}$

$\frac{3}{4}$

Correct answer:

$\frac{3}{4}$

Explanation:

A numerical percentage is out of 100 parts.

Remove the percentage sign and divide this number by 100.

$\frac{75}{100}$

Reduce this fraction by writing the factors of the numerator and denominator.

$\frac{75}{100} = \frac{25 \times 3}{25 \times 4}$

Cancel the 25.

The answer is: $\frac{3}{4}$

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Example Question #3131 : Algebra 1

Convert the percent into a fraction:

$42\%$

Possible Answers:

$\frac{11}{25}$

$\frac{42}{100}$

$\frac{21}{50}$

$\frac{12}{50}$

Correct answer:

$\frac{21}{50}$

Explanation:

In order to change a percent into a fraction, the first step is to take the percent and place it over 100:

$42\%=\frac{42}{100}$

Then simplify as needed:

$\frac{42}{100}\div \frac{2}{2}=\frac{21}{50}$

For this question the final answer will be 21/50

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Example Question #3132 : Algebra 1

Convert the percent into a fraction:

$26\%$

Possible Answers:

$\frac{26}{100}$

$\frac{13}{50}$

$\frac{12}{50}$

$\frac{11}{25}$

Correct answer:

$\frac{13}{50}$

Explanation:

In order to change a percent into a fraction, the first step is to take the percent and place it over 100:

$26\%=\frac{26}{100}$

Then simplify as needed:

$\frac{26}{100}\div \frac{2}{2}=\frac{13}{50}$

For this question the final answer will be 13/50

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Example Question #41 : How To Find A Fraction From A Percentage

Turn the percent into a fraction:

$85\%$

Possible Answers:

$\frac{15}{20}$

$\frac{9}{11}$

$\frac{12}{15}$

$\frac{17}{20}$

Correct answer:

$\frac{17}{20}$

Explanation:

In order to change a percent into a fraction, the first step is to take the percent and place it over 100:

$85\%=\frac{85}{100}$

Then simplify as needed:

$\frac{85}{100}\div \frac{5}{5}=\frac{17}{20}$

For this question the final answer will be 17/20

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Example Question #42 : How To Find A Fraction From A Percentage

Turn the percent into a fraction:

$2\%$

Possible Answers:

$\frac{1}{20}$

$\frac{1}{100}$

$\frac{1}{50}$

$\frac{2}{50}$

Correct answer:

$\frac{1}{50}$

Explanation:

In order to change a percent into a fraction, the first step is to take the percent and place it over 100:

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

Then simplify as needed:

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

For this question the final answer will be 1/50

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Example Question #51 : How To Find A Fraction From A Percentage

Turn the percent into a fraction:

$76\%$

Possible Answers:

$\frac {19}{25}$

$\frac{16}{25}$

$\frac{12}{50}$

$\frac{17}{25}$

Correct answer:

$\frac {19}{25}$

Explanation:

In order to change a percent into a fraction, the first step is to take the percent and place it over 100:

$76\%=\frac{76}{100}$

Then simplify as needed:

$\frac{76}{100}\div \frac{2}{2}=\frac{38}{50}\div \frac{2}{2}=\frac{19}{25}$

For this question the final answer will be 19/25

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Example Question #52 : How To Find A Fraction From A Percentage

Turn the percent into a fraction:

$50\%$

Possible Answers:

$\frac{16}{25}$

$\frac {1}{2}$

$\frac{4}{25}$

$\frac{5}{12}$

Correct answer:

$\frac {1}{2}$

Explanation:

In order to change a percent into a fraction, the first step is to take the percent and place it over 100:

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

Then simplify as needed:

$\frac{50}{100}\div \frac{10}{10}=\frac{5}{10}\div \frac{5}{5}=\frac{1}{2}$

For this question the final answer will be 1/2

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Algebra 1 : Fractions and Percentage

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #41 : How To Find A Fraction From A Percentage

Example Question #3131 : Algebra 1

Example Question #41 : How To Find A Fraction From A Percentage

Example Question #46 : How To Find A Fraction From A Percentage

Example Question #3131 : Algebra 1

Example Question #3132 : Algebra 1

Example Question #41 : How To Find A Fraction From A Percentage

Example Question #42 : How To Find A Fraction From A Percentage

Example Question #51 : How To Find A Fraction From A Percentage

Example Question #52 : How To Find A Fraction From A Percentage

All Algebra 1 Resources

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