How to find percentage from a fraction
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GRE Quantitative Reasoning › How to find percentage from a fraction
50 students took an exam. There were 4 A's, 9 B's, 15 C's, 8 D's, and the rest of the students failed. What percent of the students failed?
Explanation
which equals 28%.
Choose the answer which best expresses the following fraction as a percentage, to the nearest tenth of a percent:
Explanation
To solve this problem, first you have to convert the fraction into a decimal, which you can do by dividing three by seven:
The decimal appears to be non-repeating, non-terminating, but that's irrelevant, as the problem cautioned you to round to the nearest tenth of a percent. You can convert to a percent, the first two digits of the decimal will be the percentage, and the third will be the tenth of a percent place, and the fourth will determine whether you round up or down:
Choose the answer below which best expresses the following fraction as a percentage:
Explanation
To solve this problem, first convert the fraction into a decimal, by dividing one by eight:
Then you can convert the decimal into a percentage, by putting the first two digits in the tens and ones digit of the percent (respectively), and any ensuing digits after a decimal for the percentage. Or in otherwords multiply the decimal by 100:
Choose the answer which best converts the following fraction into a percentage, rounded to the nearest tenth of a percent, if necessary:
Not possible to convert.
Explanation
To convert, first divide four by three:
Now, to convert the decimal into a percentage, the ones digit becomes the hundredes digit of the percentage, and the others follow suit. As the decimal above is repeating, and repeats at three, when you round to the nearest tenth a percent, you will have a three as your final digit:
For every 1000 cookies baked, 34 are oatmeal raisin.
Quantity A: Percent of cookies baked that are oatmeal raisin
Quantity B: 3.4%
Quantity A is greater
Quantity B is greater
The two quantities are equal.
The relationship cannot be determined from the information given.
Explanation
Simplify Quantity A by dividing the number of oatmeal raisin cookies by the total number of cookies to find the percentage of oatmeal raisin cookies. Since a percentage is defined as being out of 100, either multiply the resulting decimal by 100 or reduce the fraction until the denominator is 100. You will find that the two quantities are equal.
If one of the employees across both industries were to be selected at random, what is the probability that the employee will be a construction industry worker who stayed in the same role for 5 years or more?
20%
65%
10%
17%
26%
Explanation
The first step is to figure out the percentage of construction employees that have stayed in the same role for 5 years or more—this would include both the "5 to 9 year" and "10+ years" ranges. This would be 0.25 + 0.4 = 65% of all construction employees. To convert to the number of employees, we take the percentage of their total, 0.65 * 8,000,000 = 5,200,000 workers. However, since the probability we are attempting to find is of workers between both industries, we must add the 8 million to the 12 million = 20 million workers total. 5,200,000/20,000,000 = 0.26, or a 26% chance.