How to find percentage from a fraction - SAT Math

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Question

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?

Answer

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%.

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Question

What is as a percentage?

Answer

Convert the improper fraction to the mixed numeral or as the decimal . as a percentage is

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Question

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?

Answer

First, we will determine the total number of ballots:

4+4+5+7+12+13=45\hspace{1 mm}ballots

Since there are two four year olds, and this question is asking the probability of the chosen child being four, the probability is:

\frac{4+4}{45}=\frac{8}{45}=0.1\overline{7}=17.\overline{7}%

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Question

Convert the following fraction to a percent, rounding to the nearest tenth:

Answer

Reduce the fraction.

Set up the proportion such that some number is over 100.

Solve for , which is the percent.

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Question

What is the closest percent equal to the fraction ?

Answer

The percent is a number over 100. Set up the proportion to find the unknown value.

The closest answer is .

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Question

Express as a percent.

Answer

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 .

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Question

Solve each problem and decide which is the best of the choices given.

There is a bag with green marbles, red marbles, purple marbles, and blue marbles. What is the probability that a red marble is randomly chosen from the bag?

Answer

To find the probability of a red marble being randomly chosen, you have to divide the number of red marbles by the total number of marbles.

There are red, and total,

thus, creating the fraction

.

To find the percentage, simply divide by and multiply the result by to get .

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Question

Determine the approximate percentage given the fraction .

Answer

Because a fraction is a part of a whole , set up a proportion.

The fraction is approximately .

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