How to find percentage from a fraction - Algebra
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A die was rolled 
times and landed on the number "
" 
times. What percent of the time was the result a number other than 
?
A die was rolled
Here, the most important step is to understand what the question is asking.
A "
" was rolled 
of a total of 
times, but the question is asking about numbers other than 
.
A number other than 
was rolled 
times of the total 
.
Now, the final step is to convert 
into a percent. Since 
is a multiple of 
, it is a quick conversion. 
is equal to 
and the answer is 
.
Here, the most important step is to understand what the question is asking.
A "
A number other than
Now, the final step is to convert
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If Jessica got 2 out of 20 questions wrong on her most recent math quiz, what percent did she get correct?
If Jessica got 2 out of 20 questions wrong on her most recent math quiz, what percent did she get correct?
Since she got 2 out of 20 incorrect, we can first figure out the percent incorrect. We can either find the decimal for 2/20, or make 2/20 a fraction with 100 in the denominator. In this case, it is simpler to do the latter. We need to multiply 20 by 5 to get 100, thus we multiply 2 by 5 to get 10. Then, we have that 2/20 is equivalent to 10/100. She lost 10 percent on her math quiz, leaving her with a score of 90%.
10/100 = 10% wrong
(100%) – (10% wrong) = 90% right
Since she got 2 out of 20 incorrect, we can first figure out the percent incorrect. We can either find the decimal for 2/20, or make 2/20 a fraction with 100 in the denominator. In this case, it is simpler to do the latter. We need to multiply 20 by 5 to get 100, thus we multiply 2 by 5 to get 10. Then, we have that 2/20 is equivalent to 10/100. She lost 10 percent on her math quiz, leaving her with a score of 90%.
10/100 = 10% wrong
(100%) – (10% wrong) = 90% right
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Which of the following represents the fraction 
as a percentage?
Which of the following represents the fraction
We need to set up a proportion to convert our fraction to x/100.
Cross multiply.
(1)(100) = (8)(x)
100 = 8x
Divide both sides by 8.
(100)/8 = (8x)/8
100/8 = x
Simplify.
100/8 = 25/2 = 12.5
Our answer is 12.5%.
We need to set up a proportion to convert our fraction to x/100.
Cross multiply.
(1)(100) = (8)(x)
100 = 8x
Divide both sides by 8.
(100)/8 = (8x)/8
100/8 = x
Simplify.
100/8 = 25/2 = 12.5
Our answer is 12.5%.
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Judy says she has 
of her 8-page paper completed. What percentage of the paper has she written?
Judy says she has
Use long division to divide out the fraction to determine the percentage:
Use long division to divide out the fraction to determine the percentage:
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A very large bag is filled with marbles. 
of the bag is filled with red marbles. Another 
of the bag is filled with blue marbles. The rest of the bag is filled with yellow marbles. What percentage of the bag is filled with yellow marbles?
A very large bag is filled with marbles.
First, you must find what fraction of the bag is filled with yellow marbles. We know that 
of the bag filled with red marbles and 
of the bag is filled with blue marbles. So, the fraction of the bag filled with yellow marbles must equal to
or 
Next, you convert 
to a percentage, which is 25%.
First, you must find what fraction of the bag is filled with yellow marbles. We know that
or
Next, you convert
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Jamie ate 
of a pizza for lunch and 
of the same pizza later for dinner. What percentage of the pizza is left uneaten?
Jamie ate
Jamie ate 
of a pizza for lunch and 
of the same pizza for dinner. To convert a fraction to a percentage, you simply convert the fraction so that the denominator is 100. So, Jamie ate 
of the pizza for lunch and 
of the pizza for dinner. Since the denominator of these fractions is 100, the numerator is its percentage equivalent. Thus, Jamie ate 25% of the pizza for lunch and 20% for dinner for a total of 45% of the pizza. 55% of the pizza remains uneaten.
Jamie ate
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Billy empties his pockets and finds some change. He finds 2 quarters, 4 dimes, 5 nickels and 9 pennies. What percentage of the coins are nickels?
Billy empties his pockets and finds some change. He finds 2 quarters, 4 dimes, 5 nickels and 9 pennies. What percentage of the coins are nickels?
First, we can find out the proportion of coins that are nickels. So, we know there are 5 nickels and we can count there are 20 coins total 
So there are 
coins that are nickels. But the question asks for the percentage. To find the percentage, we can just find our answer as a decimal value rather than a fraction. Than multiply by 100%. So,
Thus our answer is 25%.
First, we can find out the proportion of coins that are nickels. So, we know there are 5 nickels and we can count there are 20 coins total
So there are
Thus our answer is 25%.
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A bag is filled with red, yellow, and blue marbles. 
of the bag is filled with red marbles and another 
is filled with yellow marbles. The rest of the bag is filled with blue marbles. What percentage of the bag is filled with blue marbles?
A bag is filled with red, yellow, and blue marbles.
First, find the fraction of the bag that is filled with blue marbles. This can be determined by subtracting the red and yellow marbles from 1:
This gives you 
, which means that 
of the bag is filled with blue marbles.
The percentage equivalent of 
is 10%.
First, find the fraction of the bag that is filled with blue marbles. This can be determined by subtracting the red and yellow marbles from 1:
This gives you
The percentage equivalent of
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Convert 
into a percentage.
Convert
Set up a proportion:
Cross-multiply:
Isolate 
by dividing by 8:
Finally, simplify:
The fraction is therefore equivalent to 
.
Set up a proportion:
Cross-multiply:
Isolate
Finally, simplify:
The fraction is therefore equivalent to
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A student took a test and got 13 out of 20 questions correct. What percentage of questions did this student get correct?
A student took a test and got 13 out of 20 questions correct. What percentage of questions did this student get correct?
We can mathematically write '13 out of 20' as a fraction.
We can convert this to a percent by setting up a proportion.
Cross multiply and solve for 
.
So, the student got 
of the questions correct.
We can mathematically write '13 out of 20' as a fraction.
We can convert this to a percent by setting up a proportion.
Cross multiply and solve for
So, the student got
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Write the following fraction as a percent
Write the following fraction as a percent
To find the percent, first, set up the fraction as a long division problem where the 1 is placed inside the dividend and 8 is placed in the divisor:
Here, the decimal and the zero are included in the division.
Ignoring the decimal in the dividend and treating 1.0 equal to 10, we know that 8 divides into 10 one time. Therefore, place that one on the top as shown below
Multiply that one by the divisor (8) to get eight (1 x 8 = 8) and then place that eight below the dividend as shown below
Subtract 8 from 10, which will give you 2. That 2 is placed at the bottom
To perform the division further, put in an additional zero in the dividend and another zero right beside the 2
This time, we have a 20 at the bottom. 8 can go into 20 two times so we place the two at the top of the (right next to 1) as shown
Multiply that two by 8 to get sixteen and place that sixteen at the bottom
Perform the usual subtraction to get 4
Place another zero inside the dividend and another zero right beside 4
This time 8 goes into 40 just perfectly (no remainder)
The decimal of the fraction 
is 0.125. To convert this to a percentage, move the decimal point two places to the right and then put in the '%' symbol so that 0.125 is written as 12.5%
To find the percent, first, set up the fraction as a long division problem where the 1 is placed inside the dividend and 8 is placed in the divisor:
Here, the decimal and the zero are included in the division.
Ignoring the decimal in the dividend and treating 1.0 equal to 10, we know that 8 divides into 10 one time. Therefore, place that one on the top as shown below
Multiply that one by the divisor (8) to get eight (1 x 8 = 8) and then place that eight below the dividend as shown below
Subtract 8 from 10, which will give you 2. That 2 is placed at the bottom
To perform the division further, put in an additional zero in the dividend and another zero right beside the 2
This time, we have a 20 at the bottom. 8 can go into 20 two times so we place the two at the top of the (right next to 1) as shown
Multiply that two by 8 to get sixteen and place that sixteen at the bottom
Perform the usual subtraction to get 4
Place another zero inside the dividend and another zero right beside 4
This time 8 goes into 40 just perfectly (no remainder)
The decimal of the fraction
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Write 1/8 as a percentage.
Write 1/8 as a percentage.
To find the percentage representation of a fraction, we first need to write the fraction as a decimal. Writing 1/8 as a decimal we get 0.125. Now that we have the decimal representation, we simply multiply by 100 to get the percentage (or by moving the decimal two places to the right). Doing this, we get 12.5%.
To find the percentage representation of a fraction, we first need to write the fraction as a decimal. Writing 1/8 as a decimal we get 0.125. Now that we have the decimal representation, we simply multiply by 100 to get the percentage (or by moving the decimal two places to the right). Doing this, we get 12.5%.
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A bag is filled with red, yellow and blue marbles. 
of the bag is filled with red marbles, 
of the bag is filled with yellow marbles, and the rest is filled with blue marbles. What is the probability of picking out a blue marble at random (in percentage)?
A bag is filled with red, yellow and blue marbles.
Since 
of the bag is filled with red marbles and another 
of the bag is filled with yellow marbles, the remaining 
of the bag 
must be filled with blue marbles.
The percentage equivalent of 
is 25%.
Since
The percentage equivalent of
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Convert 0.555 to a fraction.
Convert 0.555 to a fraction.
0.555 is equal to 
, which can be reduced to 
by dividing the numerator and demoninator by 5. Note that if this was 0.5 repeating (i.e. 0.55555555.......) that the fraction would be 
.
0.555 is equal to
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What is 
expressed as a percentage? Round to the nearest tenth of a percent.
What is
The fraction 
represents dividing 
. Using a calculator or long division, this gives us 0.2857.
To convert a decimal to a percent we need to multiply the decimal by 100. Doing this results in the decimal moving two spaces to the right.
This decimal as a percent, rounded to the nearest tenth of a percent, is 28.6%.
The fraction
To convert a decimal to a percent we need to multiply the decimal by 100. Doing this results in the decimal moving two spaces to the right.
This decimal as a percent, rounded to the nearest tenth of a percent, is 28.6%.
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Turn this fraction into a percent:
Turn this fraction into a percent:
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.
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.
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Turn this fraction into a percent:
Turn this fraction into a percent:
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.
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.
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Turn this fraction into a percent:
Turn this fraction into a percent:
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.
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.
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Turn this fraction into a percent:
Turn this fraction into a percent:
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.
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.
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