SAT Math : Arithmetic
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Example Questions
Example Question #11 : Percentage
What is the fractional equivalent to 30% of a given a is 12.
First write the question out in equation form.
Since the question states that
the equation becomes,
From here, convert 30% into a fraction.
Substituting the fraction in for the percentage the equation becomes,
Example Question #15 : 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 #16 : 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 #1 : How To Find Percentage From A Fraction
What is 
Convert the improper fraction 
Example Question #2 : How To Find Percentage From A Fraction
A family with 6 children, aged 4, 4, 5, 7, 12, and 13 are moving to a new home. They all want the same bedroom, so the parents have a lottery. Each child places their name in once for every year of age (the four year olds each put their name in 4 times, the seven year old puts his name in 7 times, etc.) What is the probability of the chosen child being 4 years old?
It is most likely that the chosen child will be the oldest child.
None of the available answers
First, we will determine the total number of ballots:
Since there are two four year olds, and this question is asking the probability of the chosen child being four, the probability is:
Example Question #3 : How To Find Percentage From A Fraction
Three hens each lay 20 eggs for a farmer. Two-fifths of the first hen's eggs are brown. One-fourth of the second hen's eggs are brown. Seven-tenths of the third hen's eggs are white. What percentage of all the eggs are brown?
The first hen lays 8 brown eggs: 2/5 * 20 = 8
The second lays 5 brown eggs: 1/4 * 20 = 5
The third lays 6 brown eggs: 3/10 * 20 = 6
Add up the brown eggs and divide by 60, the total number of eggs:
19/60 = 0.31666667 = 31.67%, or 32%.
Example Question #21 : Percentage
What is the closest percent equal to the fraction 
The percent is a number over 100. Set up the proportion to find the unknown value.
The closest answer is 
Example Question #21 : Percentage
Convert the following fraction to a percent, rounding to the nearest tenth:
Reduce the fraction.
Set up the proportion such that some number is over 100.
Solve for 
Example Question #4 : How To Find Percentage From A Fraction
Express 
To turn this fraction into a percent, let's write it as a decimal first.
Now, let's set up a proportion to make this a percent.
Therefore, our answer is 
Example Question #1 : How To Find The Part From The Whole With Percentage
Your friend has 100 pounds of bacon and offers to share 45% of it with you. If you promised your mom 30% and your cousin 25% of your share, how many pounds of bacon do you end up with?
20.25 pounds
11.25 pounds
13.5 pounds
24.75 pounds
45 pounds
20.25 pounds
Your share = 45% of 100 pounds of bacon = .45 * 100 = 45 pounds
For mom and cousin = 30% + 25% = 55%
Percent left for you = 100% - 55% = 45%
45% of 45 pounds = .45 * 45 = 20.25 pounds
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