Algebra 1 : Fractions and Percentage

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #41 : Fractions And Percentage

Which of the following is larger?

 ,  %  or, 

 

Possible Answers:

%

Correct answer:

%

Explanation:

To convert each fraction you must get them to be equivalent to something out of  since percents are based on this.

,  because you multiply the top and the bottom by

This makes,    equivalent to %.

 

Then do the same to the other fraction to get:

, which is %

Example Question #31 : 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 denomenator.  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:

Example Question #32 : 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 denomenator.  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:

Round up to 

Example Question #33 : 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.  Don't forget to round your answer.  The best answer is:

Example Question #34 : How To Find Percentage From A Fraction

If  of a pizza remains after a party, what percent of the pizza was eaten?

Possible Answers:

31%

68%

0.33%

27%

42%

Correct answer:

31%

Explanation:

This problem is merely asking us to convert the eaten fraction of the pizza into a percent. This can be easily solved for by thinking of a whole pizza as being 1. This would mean a whole pizza could be represented by the fraction . Because  of the pizza remians, if we subtract this from , we should be able to solve for the fraction of the pizza that was consumed. 

Therefore,  of the pizza was eaten. This is the fraction we must convert into a percent. In order to do so, we must first convert this into a decimal. As a decimal we can multiply by , which will yield our percent value. 

Therefore, 31% of the pizza was eaten. 

Example Question #35 : How To Find Percentage From A Fraction

If  of pie has been eaten, what percent of the pie remains?

Possible Answers:

43%

Not enough information

63%

57%

52%

Correct answer:

57%

Explanation:

This problem is merely asking us to convert the remaining fraction of the pie into a percent. This can be easily solved for by thinking of a whole pie as being 1. This would mean a whole pie could be represented by the fraction . Because  of the pie has been consumed, if we subtract this from , we should be able to solve for the fraction of the pie that is left over. 

Therefore,  of the pie remains. This is the fraction we must convert into a percent. In order to do so, we must first convert this into a decimal. As a decimal we can multiply by , which will yield our percent value. 

Therefore, 57% of the pie remains. 

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

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