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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #7 : How To Find A Fraction From A Percentage

Convert $26.5\%$ into a reduced fraction.

Possible Answers:

$\frac{26.5}{1}$

$\frac{53}{200}$

$\frac{265}{100}$

$\frac{53}{100}$

$\frac{26.5}{100}$

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 #3101 : Algebra 1

Convert $150\%$ into a reduced fraction.

Possible Answers:

$\frac{100}{150}$

$\frac{150}{100}$

$\frac{150}{1}$

$\frac{3}{2}$

$\frac{2}{3}$

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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Example Question #61 : Fractions And Percentage

Convert $0.3\%$ into a reduced fraction.

Possible Answers:

$\frac{3}{1000000}$

$\frac{3}{1000}$

$\frac{3}{100}$

$\frac{3}{10}$

$\frac{3}{10000}$

Correct answer:

$\frac{3}{1000}$

Explanation:

First, take the decimal and divide over 100 .

We have

$\frac{0.3}{100}$ .

Then, shift the decimal one place to the right which means we add a to the denominator.

Final answer is $\frac{3}{1000}$ .

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Example Question #62 : Fractions And Percentage

Convert $9.5\%$ into a reduced fraction.

Possible Answers:

$\frac{19}{20}$

$\frac{95}{1000}$

$\frac{19}{200}$

$\frac{95}{100}$

$\frac{19}{2000}$

Correct answer:

$\frac{19}{200}$

Explanation:

First, take the decimal and divide over 100 .

We have

$\frac{9.5}{100}$ .

Then, shift the decimal one place to the right which means we add a to the denominator.

We have $\frac{95}{1000}$ .

We divide top and bottom by

$\frac{95}{1000}=\frac{19\cdot 5}{200\cdot 5}=\frac{19}{200}$

and get $\frac{19}{200}$ as the final answer.

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Example Question #3101 : Algebra 1

Convert $25.66\%$ into a reduced fraction.

Possible Answers:

$\frac{1283}{5000}$

$\frac{2566}{10000}$

$\frac{25.66}{100}$

$\frac{1283}{50000}$

$\frac{1283}{500}$

Correct answer:

$\frac{1283}{5000}$

Explanation:

First, take the decimal and divide over 100 .

We have

$\frac{25.66}{100}$ .

Then, shift the decimal two places to the right which means we add two s to the denominator.

We have $\frac{2566}{10000}$ .

Then if we divide top and bottom by ,

$\frac{2566}{10000}=\frac{1283\cdot 2}{5000\cdot 2}=\frac{1283}{5000}$

final answer will become $\frac{1283}{5000}$ .

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Example Question #12 : How To Find A Fraction From A Percentage

Convert $24\frac{4}{5}\%$ as a reduced fraction.

Possible Answers:

$23\frac{4}{}5$

$\frac{31}{125}$

$\frac{248}{1000}$

$\frac{24.8}{100}$

$\frac{119}{5}$

Correct answer:

$\frac{31}{125}$

Explanation:

First, let's convert the fraction into a decimal. By dividing into we get 0.8 .

Then, we take the new value and place it over 100 .

We have

$\frac{24.8}{100}$ .

Then, shift the decimal one place to the right which means we add one to the denominator.

We have $\frac{248}{1000}$ .

Then if we divide top and bottom by ,

$\frac{248}{1000}=\frac{31\cdot 8}{125\cdot 8}=\frac{31}{125}$

final answer will become $\frac{31}{125}$ .

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Example Question #73 : Fractions And Percentage

Convert $0.01\%$ to a reduced fraction.

Possible Answers:

$\frac{1}{10}$

$\frac{1}{100}$

$\frac{1}{1000000}$

$\frac{1}{10000}$

$\frac{1}{1000}$

Correct answer:

$\frac{1}{10000}$

Explanation:

First, take the decimal and divide over 100 .

We have

$\frac{0.01}{100}$ .

Then, shift the decimal two places to the right which means we add two s to the denominator.

We have $\frac{1}{10000}$ .

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Example Question #74 : Fractions And Percentage

Convert $165.7\%$ to a reduced fraction.

Possible Answers:

$\frac{1657}{1000}$

$\frac{165.7}{100}$

$\frac{16570}{1000}$

$\frac{1.657}{1000}$

$\frac{1657}{10000}$

Correct answer:

$\frac{1657}{1000}$

Explanation:

First, take the decimal and divide over 100 .

We have

$\frac{165.7}{100}$ .

Then, shift the decimal one places to the right which means we add one to the denominator.

We have $\frac{1657}{1000}$ .

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Example Question #75 : Fractions And Percentage

Convert $33.\overline{333}\%$ into a reduced fraction.

Possible Answers:

$\frac{333333}{1000000}$

$\frac{33333}{100000}$

$\frac{333}{1000}$

$\frac{3333}{10000}$

$\frac{1}{3}$

Correct answer:

$\frac{1}{3}$

Explanation:

The bar on top means repeating decimals. Let's convert the percent to a decimal. We shift the decimal two places to the left.

The value is then $.33\overline{333}$ . Let's say $.33\overline{333}$ is .

If we multiply both sides by , we get 3.333=10x .

If we subtract both equations, we get 3=9x .

$x=\frac{3}{9}=\frac{1}{3}$

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Example Question #76 : Fractions And Percentage

Convert $9.09\%$ into a reduced fraction.

Possible Answers:

$\frac{909}{1000}$

$\frac{1}{13}$

$\frac{1}{11}$

$\frac{2}{11}$

$\frac{1}{9}$

Correct answer:

$\frac{1}{11}$

Explanation:

The bar on top means repeating decimals. Let's convert the percent to a decimal. We shift the decimal two places to the left.

The value is then $.09\overline{090}$ . Let's say $.09\overline{090}$ is .

If we multiply both sides by 100 , we get 9.0909=100x .

If we subtract both equations, we get 9=99x .

$x=\frac{9}{99}=\frac{1}{11}$

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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #7 : How To Find A Fraction From A Percentage

Example Question #3101 : Algebra 1

Example Question #61 : Fractions And Percentage

Example Question #62 : Fractions And Percentage

Example Question #3101 : Algebra 1

Example Question #12 : How To Find A Fraction From A Percentage

Example Question #73 : Fractions And Percentage

Example Question #74 : Fractions And Percentage

Example Question #75 : Fractions And Percentage

Example Question #76 : Fractions And Percentage

All Algebra 1 Resources

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