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Algebra 1 : Fractions and Percentage

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Example Questions

Example Question #40 : How To Find Percentage From A Fraction

Oscar sells bicycles and out of the he sold this month, 8 were mountain bikes. What percent of Oscar's total sales were for mountain bikes?

Possible Answers:

$15.4\%$

$17.3\%$

$21.2\%$

$12.8\%$

$16.4\%$

Correct answer:

$15.4\%$

Explanation:

To find the percent value, we must take our fraction, convert it to a decimal value and then multiply by $100\%$ :

$\frac{8}{52}=0.154\\0.154\cdot100\%=15.4\%$

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Example Question #3081 : Algebra 1

Convert $\frac{5}{4}$ to a percent.

Possible Answers:

$0.0125\%$

$0.125\%$

$125\%$

$1.25\%$

$12.5\%$

Correct answer:

$125\%$

Explanation:

A percent is a number out of 100 parts.

Set up a proportion so that we have this fraction equal to some number over 100.

$\frac{5}{4}= \frac{x}{100}$

Cross multiply.

500 = 4x

Divide by four and simplify the fraction.

$x=\frac{500}{4}= 125$

The answer is: $125\%$

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Example Question #51 : Fractions And Percentage

Find the percent equivalent to the following fraction:

$\frac{4}{5}$

Possible Answers:

$80\%$

$50\%$

$88\%$

$0.8\%$

Correct answer:

$80\%$

Explanation:

Find the percent equivalent to the following fraction:

$\frac{4}{5}$

To find the percent equivalent to a fraction, we should first treat our fraction like a division problem, then multiply by 100.

$4\div5=0.8$

Next, multiply by 100

$0.8*100=80\%$

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Example Question #3083 : Algebra 1

Approximate the percent given the fraction: $\frac{6}{7}$

Possible Answers:

$86\%$

$91\%$

$89\%$

$83\%$

$81\%$

Correct answer:

$86\%$

Explanation:

In order to find the percentage, we will need to set up a proportion equal to some number over 100. This number will represent the percentage.

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

Cross multiply.

600=7x

Divide by seven on both sides.

$\frac{600}{7}=\frac{7x}{7}$

x=85.714

This will round up to $86\%$ .

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Example Question #52 : Fractions And Percentage

Convert $\frac{4}{7}$ to a percent, rounded to the nearest hundreth.

Possible Answers:

0.02

57.1

57.14

Correct answer:

57.14

Explanation:

To convert the fraction to a percent, we must set up the following equation:

$\frac{4}{7}=\frac{x}{100}$

Because percent by definition is the "part" divided by 100, we solve for x (this is the value reported as a percent):

$x=\frac{400}{7}\approx 57.14$

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Example Question #56 : Fractions And Percentage

Given the fraction $\frac{7}{8}$ , find the percentage.

Possible Answers:

$8.75\%$

$8.65\%$

$82.5\%$

$875\%$

$87.5\%$

Correct answer:

$87.5\%$

Explanation:

In order to find the percentage, we need to set up a proportion.

A percentage is some value out of 100 parts.

Set up an equation where seven-eighths is equal to some number out of 100.

$\frac{7}{8} = \frac{x}{100}$

Cross multiply the fractions.

700=8x

Divide by eight on both sides.

$\frac{700}{8}=\frac{8x}{8}$

Simplify both sides.

x=87.5

This means that $\frac{7}{8}$ is equivalent to $87.5\%$ .

The answer is: $87.5\%$

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Example Question #57 : Fractions And Percentage

Convert $\frac{13}{56}$ to a percentage rounded to one decimal place

Possible Answers:

$24.2\%$

$28.7\%$

$19.8\%$

$17.6\%$

$23.2\%$

Correct answer:

$23.2\%$

Explanation:

The fraction bar is also a division bar so first perform the division the fraction requests. Divide 13 by 56.

$\frac{13}{56}=0.23214$

Now take this decimal and multiply by 100. After you do this make sure to round to one decimal place.

$0.23214\cdot100$

$23.214\%$

$23.2\%$

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Example Question #58 : Fractions And Percentage

Convert $\frac{8}{211}$ to a percentage rounded to one decimal place

Possible Answers:

$4.2\%$

$6.6\%$

$5.2\%$

$7.6\%$

$3.8\%$

Correct answer:

$3.8\%$

Explanation:

First divide 8 by 211

$\frac{8}{211}$

Now, multiply the decimal you got by 100 to convert it to a percentage

$.0379\cdot 100$

$3.79\%$

Make sure to round to one decimal place

$3.8\%$

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

How do you display 40% as a fraction?

Possible Answers:

$\frac{2}{5}$

$\frac{20}{50 }$

$\frac{4}{100}$

$\frac{40}1{}$

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 #2 : How To Find A Fraction From A Percentage

What is 135% of 45?

Possible Answers:

15.75

54.5

105.75

22.75

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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Algebra 1 : Fractions and Percentage

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #40 : How To Find Percentage From A Fraction

Example Question #3081 : Algebra 1

Example Question #51 : Fractions And Percentage

Example Question #3083 : Algebra 1

Example Question #52 : Fractions And Percentage

Example Question #56 : Fractions And Percentage

Example Question #57 : Fractions And Percentage

Example Question #58 : Fractions And Percentage

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

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

All Algebra 1 Resources

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