Algebra 1 : Fractions and Percentage

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #111 : Fractions And Percentage

Turn the percent into a fraction:

\(\displaystyle 32\%\)

Possible Answers:

\(\displaystyle \frac{8}{25}\)

\(\displaystyle \frac{12}{25}\)

\(\displaystyle \frac{2}{5}\)

\(\displaystyle \frac{17}{50}\)

Correct answer:

\(\displaystyle \frac{8}{25}\)

Explanation:

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

\(\displaystyle 32\%=\frac{32}{100}\)

Then simplify as needed:

\(\displaystyle \frac{32}{100}\div \frac{2}{2}=\frac{16}{50}\div \frac{2}{2}=\frac{8}{25}\)

For this question the final answer will be 8/25

Example Question #112 : Fractions And Percentage

Turn the percent into a fraction:

\(\displaystyle 37\%\)

Possible Answers:

\(\displaystyle \frac{19}{50}\)

\(\displaystyle \frac{37}{50}\)

\(\displaystyle \frac{37}{100}\)

\(\displaystyle \frac{18}{49}\)

Correct answer:

\(\displaystyle \frac{37}{100}\)

Explanation:

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

\(\displaystyle 37\%=\frac{37}{100}\)

No simplifaction is needed so for this question the final answer will be 37/100

Example Question #113 : Fractions And Percentage

Turn the percent into a fraction:

\(\displaystyle 94\%\)

Possible Answers:

\(\displaystyle \frac{23}{25}\)

\(\displaystyle \frac{47}{100}\)

\(\displaystyle \frac{47}{50}\)

\(\displaystyle \frac{37}{50}\)

Correct answer:

\(\displaystyle \frac{47}{50}\)

Explanation:

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

\(\displaystyle 94\%=\frac{94}{100}\)

Then simplify as needed:

\(\displaystyle \frac{94}{100}\div \frac{2}{2}=\frac{47}{50}\)

For this question the final answer will be 47/50

Example Question #114 : Fractions And Percentage

Turn the percent into a fraction:

\(\displaystyle 66\%\)

Possible Answers:

\(\displaystyle \frac{13}{25}\)

\(\displaystyle \frac{33}{100}\)

\(\displaystyle \frac{11}{23}\)

\(\displaystyle \frac{33}{50}\)

Correct answer:

\(\displaystyle \frac{33}{50}\)

Explanation:

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

\(\displaystyle 66\%=\frac{66}{100}\)

Then simplify as needed:

\(\displaystyle \frac{66}{100}\div \frac{2}{2}=\frac{33}{50}\)

For this question the final answer will be 33/50

Example Question #115 : Fractions And Percentage

Turn the percent into a fraction:

\(\displaystyle 15\%\)

Possible Answers:

\(\displaystyle \frac{15}{22}\)

\(\displaystyle \frac{3}{25}\)

\(\displaystyle \frac{3}{25}\)

\(\displaystyle \frac{3}{20}\)

Correct answer:

\(\displaystyle \frac{3}{20}\)

Explanation:

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

\(\displaystyle 15\%=\frac{15}{100}\)

Then simplify as needed:

\(\displaystyle \frac{15}{100}\div \frac{5}{5}=\frac{3}{20}\)

For this question the final answer will be 3/20

Example Question #116 : Fractions And Percentage

Find the simplest fraction equivalent to \(\displaystyle 88\%\)

Possible Answers:

\(\displaystyle \frac{11}{100}\)

\(\displaystyle \frac{22}{25}\)

\(\displaystyle \frac{22}{45}\)

\(\displaystyle \frac{2}{25}\)

Correct answer:

\(\displaystyle \frac{22}{25}\)

Explanation:

Find the simplest fraction equivalent to \(\displaystyle 88\%\)

To go from percents to fractions, begin by putting the percent as the numerator of a fraction over 100

\(\displaystyle \frac{88}{100}\)

Next, simplify the fraction by pulling out factors in common to the numerator and denominator

\(\displaystyle \frac{4*22}{4*25}=\frac{22}{25}\)

 

So

\(\displaystyle 88\%=\frac{22}{25}\)

Example Question #116 : Fractions And Percentage

Turn the percent into a fraction:

\(\displaystyle 12\%\)

Possible Answers:

\(\displaystyle \frac{7}{50}\)

\(\displaystyle \frac{3}{25}\)

\(\displaystyle \frac{7}{25}\)

\(\displaystyle \frac{2}{5}\)

Correct answer:

\(\displaystyle \frac{3}{25}\)

Explanation:

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

\(\displaystyle 12\%=\frac{12}{100}\)

Then simplify as needed:

\(\displaystyle \frac{12}{100}\div \frac{2}{2}=\frac{6}{50}\div \frac{2}{2}=\frac{3}{25}\)

For this question the final answer will be 3/25

Example Question #118 : Fractions And Percentage

The fraction should be in the lowest reduced term. 

76%

Possible Answers:

\(\displaystyle \frac{19}{25}\)

\(\displaystyle \frac{20}{23}\)

\(\displaystyle \frac{3}{4}\)

\(\displaystyle \frac{76}{100}\)

\(\displaystyle \frac{2}{3}\)

Correct answer:

\(\displaystyle \frac{19}{25}\)

Explanation:

When converting percentages into fractions, you should always start with the percent in a fraction form.

The percent will go in the numerator, and the denominator of a percent always begins as 100.

In this case, your first fraction would be \(\displaystyle \frac{76}{100}\).

You then need to reduce each number.

Both of these numbers are divisible by 4, which would leave you with \(\displaystyle \frac{19}{25}\).

Example Question #61 : How To Find A Fraction From A Percentage

What fraction is equivalent to \(\displaystyle 40\%\)

Possible Answers:

\(\displaystyle \frac{4}{5}\)

\(\displaystyle \frac{4}{25}\)

\(\displaystyle \frac{4}{100}\)

\(\displaystyle \frac{2}{5}\)

\(\displaystyle \frac{0.40}{100}\)

Correct answer:

\(\displaystyle \frac{2}{5}\)

Explanation:

To find a fraction from a percentage, do the following:

\(\displaystyle 40\%\)

means 40 per 100, so it is the same as

\(\displaystyle = \frac{40}{100}\)

When we simplify, we get

\(\displaystyle = \frac{4}{10}\)

\(\displaystyle = \frac{2}{5}\)

 

So, if we write \(\displaystyle 40\%\) as a fraction, we get \(\displaystyle \frac{2}{5}\).

Example Question #62 : How To Find A Fraction From A Percentage

What fraction is equivalent to \(\displaystyle 25\%\)

Possible Answers:

\(\displaystyle \frac{2}{5}\)

\(\displaystyle \frac{0.25}{100}\)

\(\displaystyle \frac{1}{5}\)

\(\displaystyle \frac{25}{10}\)

\(\displaystyle \frac{1}{4}\)

Correct answer:

\(\displaystyle \frac{1}{4}\)

Explanation:

To find a fraction from a percentage, do the following:

\(\displaystyle 25\%\)

means 25 per 100, so it is the same as

\(\displaystyle = \frac{25}{100}\)

When we simplify, we get

\(\displaystyle = \frac{1}{4}\)

 

So, if we write \(\displaystyle 25\%\) as a fraction, we get \(\displaystyle \frac{1}{4}\).

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