Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #36 : How To Find Percentage From A Fraction

What is the percent equivalent of ?  Round your answer to the nearest whole percent.

 

Possible Answers:

Correct answer:

Explanation:

To convert a fraction into a percentage, first convert the fraction into a decimal by dividing the numerator by the denominator.  

Then, to find the percentage equivalent of a decimal, simply move the decimal (if there is none, remember that there is always an implied decimal after the one's digit) to the right twice. In other words multiply the decimal by one hundred.

Don't forget to round your answer.  

Thus, the answer is:

Example Question #37 : How To Find Percentage From A Fraction

What is the percent equivalent of ?  Round your answer to the nearest whole percent.

Possible Answers:

Correct answer:

Explanation:

To convert a fraction into a percentage, first convert the fraction into a decimal by dividing the numerator by the denominator.  

Then, to find the percentage equivalent of a decimal, simply move the decimal (if there is none, remember that there is always an implied decimal after the one's digit) to the right twice. In other words multiply the decimal by one hundred. Don't forget to round your answer.  

Thus, the answer is:

Example Question #38 : How To Find Percentage From A Fraction

Write the following fraction as a percent:

Possible Answers:

Correct answer:

Explanation:

To write  as a percent, we simply multiply it by 100.  

We get

and we can simplify the 5 and the 100, leaving us with

When we multiply, we get

Therefore,  written as a percent is 80%.

Example Question #39 : How To Find Percentage From A Fraction

You have 22 olives and you eat 5 of them. The fraction of olives you ate was . Convert the fraction of olives you ate to a percentage.

Possible Answers:

Correct answer:

Explanation:

To convert the fraction to a percentage, first we need to convert it to a decimal. We need to get the denominator to be equal to . Or,

What can we mulitiply  by to get ? We can find this by dividing  by ,

We can then multiply this value by the numerator to find the percentage,

We can do this quickly by solving the following equation for ,

This can be done by multiplying both sides by ,

 

As long as we do the same thing to both sides of the equation we are still OK. Now we can find :

Because this value is what we use to divide by  it is the percent so

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:

Correct answer:

Explanation:

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

Example Question #3081 : Algebra 1

Convert  to a percent.

Possible Answers:

Correct answer:

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.

Cross multiply.

Divide by four and simplify the fraction.

The answer is:  

Example Question #3081 : Algebra 1

Find the percent equivalent to the following fraction:

Possible Answers:

Correct answer:

Explanation:

Find the percent equivalent to the following fraction:

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

Next, multiply by 100

Example Question #3083 : Algebra 1

Approximate the percent given the fraction: 

Possible Answers:

Correct answer:

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.

Cross multiply.

Divide by seven on both sides.

This will round up to .

Example Question #3082 : Algebra 1

Convert  to a percent, rounded to the nearest hundreth.

Possible Answers:

Correct answer:

Explanation:

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

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

Example Question #56 : Fractions And Percentage

Given the fraction , find the percentage.

Possible Answers:

Correct answer:

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.

Cross multiply the fractions.

Divide by eight on both sides.

Simplify both sides.

This means that  is equivalent to .

The answer is:  

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