How to find percentage from a fraction - ACT Math
Card 0 of 6
Luke went to the grocery store. It took him 15 minutes to drive to the store from his house, 30 minutes to shop, 5 minutes to put groceries in his car, and 20 minutes to drive home due to traffic.
What percentage of the trip did Luke spend inside his car?
Luke went to the grocery store. It took him 15 minutes to drive to the store from his house, 30 minutes to shop, 5 minutes to put groceries in his car, and 20 minutes to drive home due to traffic.
What percentage of the trip did Luke spend inside his car?
You take 15 + 20 = 35 minutes as total time spent in the car.
Then, you take 15 + 20 + 5 + 30 = 70 minutes as total trip time.
We take (35/70) x 100% = 50%
You take 15 + 20 = 35 minutes as total time spent in the car.
Then, you take 15 + 20 + 5 + 30 = 70 minutes as total trip time.
We take (35/70) x 100% = 50%
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There are 300 sandwiches at a company-wide picnic. If half of the sandwiches are tuna, and the provider mistakenly uses expired tuna in three-fifths of those sandwiches, what percentage of total sandwiches still remain edible?
There are 300 sandwiches at a company-wide picnic. If half of the sandwiches are tuna, and the provider mistakenly uses expired tuna in three-fifths of those sandwiches, what percentage of total sandwiches still remain edible?
This multi-part question makes use of both fractions and percentages, as well as some tricky language if you are not paying close attention.
First off, determine what three-fifths of the 150 tuna sandwiches is:
Now, refer back to the question, which asks how many TOTAL sandwiches (tuna and non-tuna) still remain edible. This is simple arithmetic.
Finally, find what percentage this equals:
This multi-part question makes use of both fractions and percentages, as well as some tricky language if you are not paying close attention.
First off, determine what three-fifths of the 150 tuna sandwiches is:
Now, refer back to the question, which asks how many TOTAL sandwiches (tuna and non-tuna) still remain edible. This is simple arithmetic.
Finally, find what percentage this equals:
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Express the fraction 
as a percentage.
Express the fraction
Converting a fraction to a percentage can be done in two ways. The first way involves recalling that a percent is just a fraction of 100 (per cent). Therefore, the percent equivalent to 
is the numerator of the equivalent fraction whose denominator is 100. In order to convert 
to a fraction over 100, I need to multiply the numerator and denominator each by 4.
Therefore, our answer is 28%.
The other approach is to convert the fraction to a decimal first by dividing 7 by 25.
To convert a decimal to a percent, just shift the decimal point two places to the right.
With this method, our answer is again 28%.
Converting a fraction to a percentage can be done in two ways. The first way involves recalling that a percent is just a fraction of 100 (per cent). Therefore, the percent equivalent to
Therefore, our answer is 28%.
The other approach is to convert the fraction to a decimal first by dividing 7 by 25.
To convert a decimal to a percent, just shift the decimal point two places to the right.
With this method, our answer is again 28%.
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A politician promises to spend a minimum of 
of his budget on improving roads. What is the minimum percent of the budget that must be spent on roads to keep this promise?
A politician promises to spend a minimum of
To find a percentage from a fraction, multiply the numerator by 
, then solve the fraction.
Thus, the politician must spend at least 
of the budget on roads.
To find a percentage from a fraction, multiply the numerator by
Thus, the politician must spend at least
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Convert to a percentage: 
Round to the nearest integer.
Convert to a percentage:
Round to the nearest integer.
We can solve this problem either by adding the two fractions and then converting to a percentage, or by converting each fraction to a percentage before adding them. We'll use the first method in this case:
Now, just as before, multiply our numerator by 
and solve the fraction:
We can solve this problem either by adding the two fractions and then converting to a percentage, or by converting each fraction to a percentage before adding them. We'll use the first method in this case:
Now, just as before, multiply our numerator by
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Convert to a percentage: 
Convert to a percentage:
Despite the presence of a variable, the rule remains the same: To convert a fraction to a percentage, multiply the numerator by 100 and solve the fraction.
Despite the presence of a variable, the rule remains the same: To convert a fraction to a percentage, multiply the numerator by 100 and solve the fraction.
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