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Algebra 1 : How to find a fraction from a percentage

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Example Question #3091 : Algebra 1

How do you display 40% as a fraction?

Possible Answers:

$\frac{4}{100}$

$\frac{20}{50 }$

$\frac{40}1{}$

$\frac{2}{5}$

Correct answer:

$\frac{2}{5}$

Explanation:

To display a percentage as a fraction, divide the number of percent by 100 to give you $\frac{40}{100}$ . Then simplify the fraction by dividing each number by 20, yielding $\frac{2}{5}$ .

$40\%=\frac{40}{100}=\frac{\frac{40}{20}}{\frac{100}{20}}=\frac{2}{5}$

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Example Question #3092 : Algebra 1

What is 135% of 45?

Possible Answers:

105.75

54.5

22.75

15.75

60.75

Correct answer:

60.75

Explanation:

This is just a simple problem of translation. We know that $135\% = 1.35$ and can translate the rest of the problem into this form: 1.35 * 45 = x . Merely multiply and get the answer, namely 60.75 .

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Example Question #3093 : Algebra 1

What is 12.5% expressed as a fraction?

Possible Answers:

$\frac{1}{7}$

$\frac{1}{9}$

$\frac{3}{22}$

$\frac{1}{8}$

$\frac{2}{15}$

Correct answer:

$\frac{1}{8}$

Explanation:

$\frac{12.5}{100}$ is easier to simplify if you multiply top and bottom by 2.

Then it becomes $\frac{25}{200}$ .

Divide the numerator and denominator by 25 and you get $\frac{1}{8}$ .

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Example Question #2 : How To Find A Fraction From A Percentage

What is $71\%$ as a fraction?

Possible Answers:

$\frac{71}{71}$

$\frac{71}{1}$

$\frac{71}{100}$

$\frac{71}{10}$

Correct answer:

$\frac{71}{100}$

Explanation:

To display a percentage as a fraction, divide the number of percent by 100 to give you $\frac{71}{100}$ .

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Example Question #3 : How To Find A Fraction From A Percentage

$65\% \textup{ is equivalent to which of the following?}$

Possible Answers:

$\frac{13}{25}$

$\frac{13}{20}$

$\frac{5}{20}$

$\frac{2}{3}$

$\frac{3}{5}$

Correct answer:

$\frac{13}{20}$

Explanation:

$\textup{Percent simply means out of one hundred parts. Therefore:}$

$65\%=\frac{65}{100}=\frac{13}{20}$

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Example Question #6 : How To Find A Fraction From A Percentage

Each year, the value of a car goes down by 10% of its previous year's value. What fraction of its original new value is the value of a three-year old car?

Possible Answers:

$\frac{9}{10}$

$\frac{7}{10}$

$\frac{729}{1,000}$

$\frac{777}{1,000}$

$\frac{81}{100}$

Correct answer:

$\frac{729}{1,000}$

Explanation:

The reduction of the value of a car by 10% is the same as the car retaining 90%, or $\frac{9}{10}$ , of its value.

If a car is worth when new, then it is worth $\frac{9}{10}x$ after one year. Its value after two years will be $\frac{9}{10}$ times its value after one year, or $\frac{9}{10}* \left (\frac{9}{10}x \right )$ . After three years, it will be $\frac{9}{10}$ times its value after two years, or $\frac{9}{10}*\left (\frac{9}{10}*( \frac{9}{10}x) \right )$ .

$\frac{9}{10}*\left (\frac{9}{10}*( \frac{9}{10}x) \right )=(\frac{9*9*9}{10*10*10})x=\frac{729}{1000}x$

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Example Question #4 : How To Find A Fraction From A Percentage

Convert $0.2\%$ to a fraction.

Possible Answers:

$\frac{1}{500}$

$\frac{1}{200}$

$\frac{1}{5}$

$\frac{1}{50}$

$\frac{1}{2000}$

Correct answer:

$\frac{1}{500}$

Explanation:

To convert a percentage into a fraction, remove the percentage sign and divide the number by 100.

$0.2\%= \frac{0.2}{100}= \frac{\frac{1}{5}}{100}= \frac{1}{5}\div 100= \frac{1}{5}\times \frac{1}{100}= \frac{1}{500}$

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Example Question #8 : How To Find A Fraction From A Percentage

What fraction represents $45\%$ ?

Possible Answers:

$\frac{15}{20}$

$\frac{9}{20}$

$\frac{15}{45}$

$\frac{11}{20}$

$\frac{45}{1}$

Correct answer:

$\frac{9}{20}$

Explanation:

When finding the fraction from a percent, express that value over 100 .

We now have

$\frac{45}{100}$ .

We simplify it by dividing top and bottom by .

$\frac{45}{100}=\frac{9\cdot 5}{20 \cdot 5}$

Final answer is $\frac{9}{20}$ .

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Example Question #9 : How To Find A Fraction From A Percentage

Convert $26.5\%$ into a reduced fraction.

Possible Answers:

$\frac{53}{200}$

$\frac{26.5}{1}$

$\frac{265}{100}$

$\frac{26.5}{100}$

$\frac{53}{100}$

Correct answer:

$\frac{53}{200}$

Explanation:

First, we take that value and divide over 100 .

We have

$\frac{26.5}{100}$ .

Next, since there is a decimal present, we shift that decimal one place so we have a whole number. Since we did that to the top, we add one zero to the bottom since we shifted one place. We have

$\frac{265}{1000}$ .

To reduce, we divide top and bottom by

$\frac{265}{1000}=\frac{53\cdot 5}{200\cdot 5}$

to get $\frac{53}{200}$ as the final answer.

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Example Question #10 : How To Find A Fraction From A Percentage

Convert $150\%$ into a reduced fraction.

Possible Answers:

$\frac{2}{3}$

$\frac{150}{100}$

$\frac{3}{2}$

$\frac{100}{150}$

$\frac{150}{1}$

Correct answer:

$\frac{3}{2}$

Explanation:

We take that value and divide that over 100 .

We get

$\frac{150}{100}$ .

Next we can reduce by taking one zero from top and bottom and also divide top and bottom by .

$\frac{150}{100}=\frac{15}{10}=\frac{3\cdot 5}{2\cdot 5}=\frac{3}{2}$

This gives us an answer of $\frac{3}{2}$ .

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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 #3091 : Algebra 1

Example Question #3092 : Algebra 1

Example Question #3093 : Algebra 1

Example Question #2 : How To Find A Fraction From A Percentage

Example Question #3 : How To Find A Fraction From A Percentage

Example Question #6 : How To Find A Fraction From A Percentage

Example Question #4 : How To Find A Fraction From A Percentage

Example Question #8 : How To Find A Fraction From A Percentage

Example Question #9 : How To Find A Fraction From A Percentage

Example Question #10 : How To Find A Fraction From A Percentage

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