How to find fractional percentages - ACT Math
Card 0 of 12
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 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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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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is 
of 
. What percent of 
is 
?
is 
of , so
, or 525% of 
.
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There are 
registered students in the math club. Students are deciding what activity they could do for their end of semester event. They have three choices: rock climbing, bowling, or outdoor laser tag. 
students vote for rock climbing, 
students vote for bowling, and 
students vote for outdoor laser tag.
What percent of students did not vote?
There are
What percent of students did not vote?
The number of students who did not vote is:
The percent of students who did not vote is therefore:
of the students did not vote.
The number of students who did not vote is:
The percent of students who did not vote is therefore:
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