All SAT Math Resources
Example Questions
Example Question #1 :Percentage
Write as a fraction: 22%
2/3
11/100
11/50
4/7
4/9
11/50
22% = 22/100
Divide everything by 2:
22/100 = 11/50
11 is a prime number, so this is as reduced as this fraction can get.
Example Question #2 :Percentage
Whenyis decreased by ten percent, the result is equal to fifteen percent ofx.Assuming bothxandyare nonzero, what is the ratio ofxtoy?
1/6
3
6
18
1/3
6
The problem states that decreasingyby ten percent gives us the same thing as taking fifteen percent ofx.我们需要找到一个表达式对减少y by ten percent, and an expression for fifteen percent ofx, and then set these two things equal.
If we were to decreaseyby ten percent, we would be left with ninety percent ofy(because the percentages must add to one hundred percent). We could write ninety percent ofyas 0.90y= (90/100)y= (9/10)y.Remember, when converting from a percent to a decimal, we need to move the decimal two places to the left.
Similarly, we can write 15% ofxas 0.15x= (15/100)x= (3/20)x.
Now, we set these two expressions equal to one another.
(9/10)y= (3/20)x
Multiply both sides by 20 to eliminate fractions.
18y= 3x
The question asks us to find the ratio ofxtoy, which is equal tox/y.Thus, we must rearrange the equation above until we havex/yby itself on one side.
18y= 3x
Divide both sides by 3.
6y=x
Divide both sides byy.
6 =x/y
Thus, the ratio ofxtoyis 6.
The answer is 6.
Example Question #1 :Percentage
Write 7.5% as a fraction.
First convert the percentage to a decimal:
7.5% = .075
Then turn this into a fraction:
.075 = 75/1000
Simplify by dividing the numerator and denominator by 25:
75/1000 = 3/40
Example Question #4 :Percentage
25% of 64 is equal to 5% of what number?
94
90
320
112
108
320
25% of 64 is 16 (you can find this with a calculator by 0.25 * 64). Divide 16 by 0.05 (or 1/20) to get the value of the number 16 is 5% of. (Or mental math of 16 * 20)
Example Question #1 :How To Find A Fraction From A Percentage
Turn the following percentage into a fraction:
Since a percentage is a "part of 100" to turn it into a fraction we take the original number in the percent and place it over 100:
From here, simplify the fraction as necessary:
Example Question #2 :Percentage
Turn the following percentage into a fraction:
Since a percentage is a "part of 100" to turn it into a fraction we take the original number in the percent and place it over 100:
From here, simplify the fraction as necessary:
Example Question #1 :Fractions And Percentage
Turn the following percentage into a fraction:
Since a percentage is a "part of 100" to turn it into a fraction we take the original number in the percent and place it over 100:
From here, simplify the fraction as necessary:
Example Question #1 :Percentage
Turn the following percentage into a fraction:
Since a percentage is a "part of 100" to turn it into a fraction we take the original number in the percent and place it over 100:
From here, simplify the fraction as necessary:
Example Question #1 :Percentage
Turn the following percentage into a fraction:
Since a percentage is a "part of 100" to turn it into a fraction we take the original number in the percent and place it over 100:
From here, simplify the fraction as necessary:
Example Question #1 :Percentage
Turn the following percentage into a fraction:
Since a percentage is a "part of 100" to turn it into a fraction we take the original number in the percent and place it over 100:
From here, simplify the fraction as necessary: