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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 #6 : Fractions And Percentage

What is $\frac{1}{4}$ % of $\frac{1}{4}$ ?

Possible Answers:

$\frac{1}{16}$

$\frac{1}{1,600}$

1,600

Correct answer:

$\frac{1}{1,600}$

Explanation:

Set up the proportion statement:

$\frac{N}{\frac{1}{4}} = \frac{\frac{1}{4}}{100}$

Cross-multply and solve for :

$100 N= {\frac{1}{4}} \cdot {\frac{1}{4}}$

$100 N= {\frac{1}{16}}$

$\frac{1}{100} \cdot 100 N=\frac{1}{100} \cdot {\frac{1}{16}}$

$N = \frac{1}{1,600}$

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Example Question #1 : Fractions And Percentage

What is $\frac{2}{3}\%$ of $\frac{2}{5}$ ?

Possible Answers:

$\frac{3}{5,000}$

$\frac{1}{375}$

$\frac{2}{75}$

$\frac{3}{500}$

$\frac{1}{600}$

Correct answer:

$\frac{1}{375}$

Explanation:

Set up a proportion:

$\frac{\frac{2}{3}}{100} = \frac{N}{\frac{2}{5}}$

Cross-multiply and solve for :

$N \cdot 100 = \frac{2}{3} \cdot \frac{2}{5}$

$N \cdot 100 = \frac{4}{15}$

$N \cdot 100 \cdot \frac{1}{100} = \frac{4}{15} \cdot \frac{1}{100}$

$N = \frac{4}{1,500} = \frac{1}{375}$

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Example Question #2 : Fractions And Percentage

What is $\small \small \frac{3}{5}\%$ of 450 ?

Possible Answers:

$\small 270$

$\small 750$

$\small 1.33$

$\small 2.7$

$\small 27$

Correct answer:

$\small 2.7$

Explanation:

There are a few ways we can approach this problem. We know that $\small \frac{3}{5}\%$ is $\small \frac{\frac{3}{5}}{100 }$ , or $\small \frac{3}{5}*\frac{1}{100}$ .

We also know that for percentages, "of" means multiply, so we can set up a multiplication problem:

$\small \small \frac{3}{5}*\frac{1}{100}*450$

Simplifying gives

$\small \small \frac{1350}{500}=2.7$ .

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Example Question #3043 : Algebra 1

What is $\frac{1}{2}\%$ of 300,000 ?

Possible Answers:

2500

1500

15000

5000

75000

Correct answer:

1500

Explanation:

Remember that the word "of" means multiply. One way to solve this is to first divide the percentage by 100.

$\frac{\frac{1}{2}}{100}$

This is the division of two fractions and can be done by multiplying the first fraction by the reciprocal of the second fraction. Remember to treat 100 as the fraction $\frac{100}{1}$

The multiplication should look like this

$\frac{1}{2}\cdot \frac{1}{100}$

Now multiply across the numerator and denominator

$\frac{1}{200}$

Now that the fractional percentage has been converted to a regular fraction we can multiply this by the 300,000 to get the answer

$\frac{1}{200}\cdot \frac{300000}{1}$

$\frac{300000}{200}$

1500

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Example Question #11 : How To Find Fractional Percentages

Find $\frac{6}{7}\%$ of 700 . Round to one decimal place.

Possible Answers:

Correct answer:

Explanation:

It is important to remember that "of" means multiply. Before multiplying, the fractional percentage needs to be converted to a fraction.

Convert $\frac{6}{7}\%$ to a fraction by dividing it by 100.

$\frac{\frac{6}{}7}{100}$

The number 100 is the same as the fraction $\frac{100}{1}$

Since this is the division of two fractions, work it out by multiplying $\frac{6}{7}$ by the reciprocal of $\frac{100}{1}$

$\frac{6}{7}\cdot \frac{1}{100}$

Multiply across the numerator and denominator

$\frac{6}{700}$

Multiply this fraction by 700 or $\frac{700}{1}$ to get the answer

$\frac{6}{700}\cdot \frac{700}{1}$

$\frac{4200}{700}$

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Example Question #1 : How To Find Percentage From A Fraction

If Jessica got 2 out of 20 questions wrong on her most recent math quiz, what percent did she get correct?

Possible Answers:

10%

80%

20%

90%

85%

Correct answer:

90%

Explanation:

Since she got 2 out of 20 incorrect, we can first figure out the percent incorrect. We can either find the decimal for 2/20, or make 2/20 a fraction with 100 in the denominator. In this case, it is simpler to do the latter. We need to multiply 20 by 5 to get 100, thus we multiply 2 by 5 to get 10. Then, we have that 2/20 is equivalent to 10/100. She lost 10 percent on her math quiz, leaving her with a score of 90%.

$\frac{2}{20}= \frac{2}{20}*\frac{5}{5}=\frac{10}{100}$

10/100 = 10% wrong

(100%) – (10% wrong) = 90% right

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

Which of the following represents the fraction $\frac{1}{8}$ as a percentage?

Possible Answers:

80%

10.5%

18%

12.5%

Correct answer:

12.5%

Explanation:

We need to set up a proportion to convert our fraction to x/100.

$\frac{1}{8}=\frac{x}{100}$

Cross multiply.

(1)(100) = (8)(x)

100 = 8x

Divide both sides by 8.

(100)/8 = (8x)/8

100/8 = x

Simplify.

100/8 = 25/2 = 12.5

Our answer is 12.5%.

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Example Question #1 : How To Find Percentage From A Fraction

$\textup{What percentage of 4 is }\frac{1}{2}\textup{?}$

Possible Answers:

$.125\%$

$8\%$

$50\%$

$10\%$

$12.5\%$

Correct answer:

$12.5\%$

Explanation:

$\textup{Translate to equation: }\frac{x}{100}\times4=\frac{1}{2}$

$4x=50\%$

$x=12.5\%$

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

A die was rolled 10,000 times and landed on the number "" 879 times. What percent of the time was the result a number other than ?

Possible Answers:

$8.79\%$

$79.8\%$

$91.21\%$

$87.9\%$

$9.121\%$

Correct answer:

$91.21\%$

Explanation:

Here, the most important step is to understand what the question is asking.

A "" was rolled 879 of a total of 10000 times, but the question is asking about numbers other than .

A number other than was rolled 9121 times of the total 10000 .

Now, the final step is to convert $\frac{9121}{10000}$ into a percent. Since 10000 is a multiple of 100 , it is a quick conversion. $\frac{9121}{10000}$ is equal to $\frac{91.21}{100}$ and the answer is $91.21\%$ .

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Example Question #1 : How To Find Percentage From A Fraction

Judy says she has $\frac{1}{4}$ of her 8-page paper completed. What percentage of the paper has she written?

Possible Answers:

$4\%$

$25\%$

$10\%$

$60\%$

$40\%$

Correct answer:

$25\%$

Explanation:

Use long division to divide out the fraction to determine the percentage:

$\frac{1}{4}=4\div100=0.25=25\%$

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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #6 : Fractions And Percentage

Example Question #1 : Fractions And Percentage

Example Question #2 : Fractions And Percentage

Example Question #3043 : Algebra 1

Example Question #11 : How To Find Fractional Percentages

Example Question #1 : How To Find Percentage From A Fraction

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

Example Question #1 : How To Find Percentage From A Fraction

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

Example Question #1 : How To Find Percentage From A Fraction

All Algebra 1 Resources

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