SAT Math : How to find a fraction from a percentage

Study concepts, example questions & explanations for SAT Math

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Example Questions

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Example Question #1 :Percentage

Write as a fraction: 22%

Possible Answers:

2/3

11/100

11/50

4/7

4/9

Correct answer:

11/50

Explanation:

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?

Possible Answers:

1/6

3

6

18

1/3

Correct answer:

6

Explanation:

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.

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

94

90

320

112

108

Correct answer:

320

Explanation:

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:

Possible Answers:

Correct answer:

Explanation:

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:

Possible Answers:

Correct answer:

Explanation:

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:

Possible Answers:

Correct answer:

Explanation:

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:

Possible Answers:

Correct answer:

Explanation:

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:

Possible Answers:

Correct answer:

Explanation:

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:

Possible Answers:

Correct answer:

Explanation:

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:

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