Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #3151 : Algebra 1

Turn the percent into a fraction:

Possible Answers:

Correct answer:

Explanation:

In order to change a percent into a fraction, the first step is to take the percent and place it over 100:

Then simplify as needed:

For this question the final answer will be 3/25

Example Question #59 : How To Find A Fraction From A Percentage

The fraction should be in the lowest reduced term. 

76%

Possible Answers:

Correct answer:

Explanation:

When converting percentages into fractions, you should always start with the percent in a fraction form.

The percent will go in the numerator, and the denominator of a percent always begins as 100.

In this case, your first fraction would be .

You then need to reduce each number.

Both of these numbers are divisible by 4, which would leave you with .

Example Question #117 : Fractions And Percentage

What fraction is equivalent to 

Possible Answers:

Correct answer:

Explanation:

To find a fraction from a percentage, do the following:

means 40 per 100, so it is the same as

When we simplify, we get

 

So, if we write  as a fraction, we get .

Example Question #118 : Fractions And Percentage

What fraction is equivalent to 

Possible Answers:

Correct answer:

Explanation:

To find a fraction from a percentage, do the following:

means 25 per 100, so it is the same as

When we simplify, we get

 

So, if we write  as a fraction, we get .

Example Question #121 : Fractions And Percentage

What fraction is equivalent to 33%?

Possible Answers:

Correct answer:

Explanation:

The percentage given

means 33 percent or per hundred. So we can re-write it as

Therefore,  is equivalent to .

 

Note:  Any percentage can be written over 100 and then simplified if needed.

Example Question #122 : Fractions And Percentage

What fraction is equivalent to 45% ?

Possible Answers:

Correct answer:

Explanation:

The percentage given

means 45 percent or per hundred. So, we can re-write it as

This can be simplified to

.

Therefore, the fraction that is equivalent to  is .

Example Question #123 : Fractions And Percentage

Find the fraction:  

Possible Answers:

Correct answer:

Explanation:

A percentage is a number out of 100 parts.

Take the given number, remove the percentage sign, and divide this by 100.

Since this fraction cannot be reduced any further, this is the fraction.

The answer is:  

Example Question #124 : Fractions And Percentage

Convert  into a fraction in lowest terms

Possible Answers:

Correct answer:

Explanation:

To convert percentages to fractions divide them by 100 as the denominator.

Then, make sure to reduce to the lowest terms by dividing the numerator and denominator by the same amount until no number goes into both evenly.

Since 72 and 100 are both even numbers they divide by 2.

Both 36 and 50 are still even so they can divide by 2 again.

Neither 18 nor 25 divide by the same number so this is the answer.

Alternatively, we could have divided 72 and 100 by 4 to get the answer in one step of reducing.

Example Question #125 : Fractions And Percentage

Convert  to a fraction in lowest terms.

Possible Answers:

Correct answer:

Explanation:

Since percentages are out of 100%, start first by dividing the percentage by 100 to convert it to a fraction.

Simplify the fraction to lowest terms by dividing the numerator (top) and denominator (bottom) by the same number or greatest common factor you can think of. In this case, since both 66 and 100 are even numbers, I know that 2 is a factor so I will divide both numbers by 2.

I check again if anything divides into both the top and the bottom but nothing does so this must be the fraction reduced to lowest terms.

Example Question #3151 : Algebra 1

Convert  to a fraction in lowest terms

Possible Answers:

Correct answer:

Explanation:

Since this percentage has a decimal in part of it, first convert it to a decimal by dividing by 100.

Now, turn this decimal into a fraction by putting in the numerator and making the denominator the furthest right place value in the decimal. In this case, that would be the 5, which is in the thousandths place/

Finally, reduce this to lowest terms by seeing what number divides into both the numerator and denominator. I know 5 divides into both numbers so I will use that first.

Neither number has any common factors, so this is the final asnwer

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