Fractions and Percentage - ACT Math
Card 0 of 234
We asked 1000 people their preferences of movie genres. 7.5% of those asked preferred horror movies, 35% preferred romantic films, 20% preferred dramas and 37.5% preferred comedies. How many people liked horror films?
We asked 1000 people their preferences of movie genres. 7.5% of those asked preferred horror movies, 35% preferred romantic films, 20% preferred dramas and 37.5% preferred comedies. How many people liked horror films?
People who prefer horror films = 1000 people x 7.5% = 1000 x 0.075 = 75 people
People who prefer horror films = 1000 people x 7.5% = 1000 x 0.075 = 75 people
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There are 20 students in a class. 35 percent of the students in the class are boys. What fraction of the class is girls?
There are 20 students in a class. 35 percent of the students in the class are boys. What fraction of the class is girls?
There are 20 total students in the class. 35% of 20 is 7. There are 7 boys in the class.
girls in the class.
There are 20 total students in the class. 35% of 20 is 7. There are 7 boys in the class.
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Which of the following represents 
as a fraction?
Which of the following represents
To represent a percentage as a fraction, keep the percentage in the numerator and put 
in the denominator.
Therefore:
To represent a percentage as a fraction, keep the percentage in the numerator and put
Therefore:
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Which of the following fractions is equivalent to 
Which of the following fractions is equivalent to
To convert an integer percentage into an improper fraction, set the percentage as a fraction over 
and simplify as far as you can. At that point, simply convert the improper fraction into a mixed fraction.
To convert an integer percentage into an improper fraction, set the percentage as a fraction over
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A politician promises to spend up to 
of his budget on improving roads. Which of the following is closest to the fraction of their budget the politician must devote to road improvement?
A politician promises to spend up to
To convert a decimal percentage into a fraction, first convert it to a decimal:
Now, set ths as a fraction with 
as the denominator (expanding to as many significant digits as you need to line the fraction up):
Now just reduce your fraction!
To convert a decimal percentage into a fraction, first convert it to a decimal:
Now, set ths as a fraction with
Now just reduce your fraction!
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Convert to a fraction: 
Convert to a fraction:
To convert a percentage to a fraction, divide the percentage by 100, then simplify. The presence of a variable does not significantly affect this process.
To convert a percentage to a fraction, divide the percentage by 100, then simplify. The presence of a variable does not significantly affect this process.
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Convert the following to a percentage.
Convert the following to a percentage.
To convert a fraction into a percentage, simply simplify the fraction into a decimal and multiply by 100.
To convert a fraction into a percentage, simply simplify the fraction into a decimal and multiply by 100.
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The girl's tennis team decided to do multiple fundraisers to raise enough to buy new equipment for next season. The following is a table of 4 of the fundraisers they did and the fraction of the total funds each raised.
The last fundraiser they did earned them the final 
they needed. What percent of the total funds raised did the last fundraiser raise?
The girl's tennis team decided to do multiple fundraisers to raise enough to buy new equipment for next season. The following is a table of 4 of the fundraisers they did and the fraction of the total funds each raised.
The last fundraiser they did earned them the final
The question asks to find what percent the last fundraiser makes up of the total funds raised. The information that's given is how much that last fundraiser made and what fraction the other fundraisers made.
This problem may be solved without the amount of money the last fundraiser raised. The reason is that we know that only 5 fundraisers were done. We're given what the fraction of the other fundraisers were.
If we were to add all the fractions together, including the last fundraiser, the sum of all would equal 1.
Fractions are another version of decimals but also another version of percentages. Percentages are essentially a prettier way of showing parts (or fractions) of a whole, which would be 100%. In the case of fractions, this is the same logic, which is why when all the fractions are summed, they equal 1. This 1 represents 100%.
Upon using lowest common denominators, adding the fractions together, and solving for x, x is calculated to be 
We've almost obtained the final answer. Now it's just a matter of converting this fraction into a percent. As mentioned previously, fractions are another version of decimals. Think of decimals as being the middle conversion between fractions and percents. All that needs to be done to a decimal to turn it in to a percent is to multiply it by 100. For instance, .50 becomes 50%. Conversely, .50 is the same as 
in fraction form. Therefore, one half is 50%.
In order to solve for x in percent, the same conversion must be done.
The question asks to find what percent the last fundraiser makes up of the total funds raised. The information that's given is how much that last fundraiser made and what fraction the other fundraisers made.
This problem may be solved without the amount of money the last fundraiser raised. The reason is that we know that only 5 fundraisers were done. We're given what the fraction of the other fundraisers were.
If we were to add all the fractions together, including the last fundraiser, the sum of all would equal 1.
Fractions are another version of decimals but also another version of percentages. Percentages are essentially a prettier way of showing parts (or fractions) of a whole, which would be 100%. In the case of fractions, this is the same logic, which is why when all the fractions are summed, they equal 1. This 1 represents 100%.
Upon using lowest common denominators, adding the fractions together, and solving for x, x is calculated to be
We've almost obtained the final answer. Now it's just a matter of converting this fraction into a percent. As mentioned previously, fractions are another version of decimals. Think of decimals as being the middle conversion between fractions and percents. All that needs to be done to a decimal to turn it in to a percent is to multiply it by 100. For instance, .50 becomes 50%. Conversely, .50 is the same as
In order to solve for x in percent, the same conversion must be done.
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If a dress in a store originally costs 
, what does it cost (in dollars) after a 
discount is applied?
If a dress in a store originally costs
To find 
of 80, 
. Next, subtract 
, for 
as the final answer.
To find
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Convert 
to a fraction.
Convert
Divide 14 by 100. Simplifying this fraction will give the reduced fractional form of 
:
Divide 14 by 100. Simplifying this fraction will give the reduced fractional form of
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A stadium holds a total of 13,758 seats. Of that total, 6,732 seats are full with spectators. How many seats, to the nearest percent, are currently full?
A stadium holds a total of 13,758 seats. Of that total, 6,732 seats are full with spectators. How many seats, to the nearest percent, are currently full?
To answer this question, we must find the percentage of the amount of seats filled up within the stadium. To find a percentage, there are two steps.
First, you divide the part of the total number by the total number itself (in this case the amount of seats filled divided by the total number of seats). So, for this data:
The second step is to multiply your answer by 100 so that it will now be represented as a percentage. So for this data:
The question asked us to round our answer to the nearest whole percent. To do this, we round a number up one place if the last digit is a 5, 6, 7, 8, or 9, and we round it down if the last digit is a 1, 2, 3, or 4. Therefore:
So our answer for the amount of seats filled within the stadium is 
.
To answer this question, we must find the percentage of the amount of seats filled up within the stadium. To find a percentage, there are two steps.
First, you divide the part of the total number by the total number itself (in this case the amount of seats filled divided by the total number of seats). So, for this data:
The second step is to multiply your answer by 100 so that it will now be represented as a percentage. So for this data:
The question asked us to round our answer to the nearest whole percent. To do this, we round a number up one place if the last digit is a 5, 6, 7, 8, or 9, and we round it down if the last digit is a 1, 2, 3, or 4. Therefore:
So our answer for the amount of seats filled within the stadium is
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percent of 
percent of the students in a high school take Anglo-Saxon as their first foreign language. What fraction of the students does this represent?
For percentages, remember that the key language is found in the words "is" and "of". "Of" is translated as multiplication, and "is" is translated as equality. Here, we merely need to set up the equation:
Notice carefully, we use 
to represent the 
of the class. It really is a filler. 
is the same as 
. This is the answer.
For percentages, remember that the key language is found in the words "is" and "of". "Of" is translated as multiplication, and "is" is translated as equality. Here, we merely need to set up the equation:
Notice carefully, we use
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If 
percent of 
percent of a group of peanuts was processed in Indiana, what fraction of the original amount of peanuts does this group represent?
If
For percentages, remember that the key language is found in the words "is" and "of". "Of" is translated as multiplication, and "is" is translated as equality. Here, we merely need to set up the equation:
Notice carefully, we use 
to represent the 
of the group of peanuts processed anywhere. It really is a filler. 
is the same as 
. Reduce this by canceling out the common 
: 
.
For percentages, remember that the key language is found in the words "is" and "of". "Of" is translated as multiplication, and "is" is translated as equality. Here, we merely need to set up the equation:
Notice carefully, we use
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There are 
students in a math class. 
of the class consists of boys. How many girls are in the math class?
There are
First, we need to find the fraction of the class that are girls.
Next, find the number of students that are female. If we know that there are 300 students total, we can write the following ratio for girls:
Create a proportion.
Cross multiply and solve for the number of girls, 
.
Divide both sides of the equation by 5.
There are 120 girls in the class.
First, we need to find the fraction of the class that are girls.
Next, find the number of students that are female. If we know that there are 300 students total, we can write the following ratio for girls:
Create a proportion.
Cross multiply and solve for the number of girls, 
Divide both sides of the equation by 5.
There are 120 girls in the class.
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On a 
acre plot of land, there are 
acres in which deer live. What percentage of the land does this represent? Round to the nearest hundredth.
On a
For percentages, it is always easiest to translate into language that uses "is" and "of." "Is" means "equals" and "of" means "multiply." So, we have:
What percentage of 
is 
? This is the same as:
Solving for 
, you get:
Now, as a percent, this is equal to:
Rounding to the nearest hundredth, you have 
.
For percentages, it is always easiest to translate into language that uses "is" and "of." "Is" means "equals" and "of" means "multiply." So, we have:
What percentage of
Solving for
Now, as a percent, this is equal to:
Rounding to the nearest hundredth, you have
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is 
of 
, which is 35% of 
. All three are positive integers. In which range does the smallest possible value of 
fall?
is 35% of , so 
.
is 
of , so 
.
Consequently,
The smallest integer 
can be is 240. If this happens,
Their sum is
The correct choice is that the sum is between 300 and 400.
Consequently,
The smallest integer
Their sum is
The correct choice is that the sum is between 300 and 400.
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is 
of 
and 
of 
; all are positive integers. Give the smallest possible value of 
.
is 
of and 
of , so
,
so 
.
so 
must be divisible by 5, so the least possible value is 5 itself.
so
so
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is 
of 
. Which of the following expressions is equal to 
?
is 
of , so
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.
is 
of 
, which is 80% of 
. What percent of 
is 
?
.
is 80% of 
, so 
.
Consequently, 
is 
of 
, so 
Consequently, 
.
, so
is 800% of 
. This is not one of the choices.
Consequently,
Consequently,
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is 
of 
.
is what percent of 
?
is 
of , so
,
so
and
The question can be rewritten as
is what percent of 
?
The answer is
so
and
The question can be rewritten as
The answer is
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