Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

varsity tutors app store varsity tutors android store

Example Questions

Example Question #3071 : Algebra 1

Turn this fraction into a percent:

Possible Answers:

Correct answer:

Explanation:

To change a fraction into a decimal, divide the numerator by the denominator. We do this by placing the numerator on the inside and doing long division. We can then change this decimal into a percent by moving the decimal place two places to the right, or multiplying the fraction by 100.

Example Question #3072 : Algebra 1

Turn this fraction into a percent:

Possible Answers:

Correct answer:

Explanation:

To change a fraction into a decimal, divide the numerator by the denominator. We do this by placing the numerator on the inside and doing long division. We can then change this decimal into a percent by moving the decimal place two places to the right, or multiplying the fraction by 100.

Example Question #3073 : Algebra 1

Turn this fraction into a decimal:

Possible Answers:

Correct answer:

Explanation:

To change a fraction into a decimal, divide the numerator by the denominator. We do this by placing the numerator on the inside and doing long division. We can then change this decimal into a percent by moving the decimal place two places to the right, or multiplying the fraction by 100.

Example Question #40 : Fractions And Percentage

Steven is the best penalty kick taker on his soccer team. Of every  shots he takes, he makes  of them. What is this relationship written as a percentage?

Possible Answers:

Correct answer:

Explanation:

To figure out this you would divide to number made over the total number of shots. 

So,      which reduces to   

To find the percent you need to get the top number to be out of , to do this you would multiply the top and bottom by .

So

  

which is equivalent to .

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. 

Learning Tools by Varsity Tutors