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SAT Math : How to find percentage from a fraction

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Example Questions

Example Question #1 : Fractions And Percentage

What is $\frac{7}{5}$ as a percentage?

Possible Answers:

$75\%$

$140\%$

$150\%$

$40\%$

$175\%$

Correct answer:

$140\%$

Explanation:

Convert the improper fraction $\frac{7}{5}$ to the mixed numeral $1\frac{2}{5}$ or as the decimal 1.4 . 1.4 as a percentage is $140\%$

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Example Question #462 : Arithmetic

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?

Possible Answers:

$20\%$

It is most likely that the chosen child will be the oldest child.

$8.\overline{8}\%$

$17.\overline{7}\%$

None of the available answers

Correct answer:

$17.\overline{7}\%$

Explanation:

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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Example Question #2 : Fractions And Percentage

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?

Possible Answers:

$0.95\%$

$0.32\%$

$95\%$

$19\%$

$32\%$

Correct answer:

$32\%$

Explanation:

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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Example Question #21 : Percentage

What is the closest percent equal to the fraction $\frac{5}{12}$ ?

Possible Answers:

$37\%$

$42\%$

$47\%$

$35\%$

$39\%$

Correct answer:

$42\%$

Explanation:

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

$\frac{5}{12}=\frac{x}{100}$

12x=500

$x=\frac{500}{12}=41.67\%$

The closest answer is $42\%$ .

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Example Question #21 : Percentage

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

$\frac{12}{18}$

Possible Answers:

$70\%$

$15\%$

$66.7\%$

0.067%

$6.7\%$

Correct answer:

$66.7\%$

Explanation:

Reduce the fraction.

$\frac{12}{18} = \frac{6\times 2}{6\times 3}= \frac{2}{3}$

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

$\frac{2}{3}=\frac{x}{100}$

Solve for , which is the percent.

3x=200

$x=\frac{200}{3}= 66.7\%$

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Example Question #21 : Percentage

Express $\frac{3}{15}$ as a percent.

Possible Answers:

$42\%$

$15\%$

$25\%$

$33\%$

$20\%$

Correct answer:

$20\%$

Explanation:

To turn this fraction into a percent, let's write it as a decimal first.

$\frac{3}{15} = 0.20$

Now, let's set up a proportion to make this a percent.

$\frac{0.2}{1} = \frac{x}{100}$

x=20

Therefore, our answer is $20\%$ .

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SAT Math : How to find percentage from a fraction

Study concepts, example questions & explanations for SAT Math

All SAT Math Resources

Example Questions

Example Question #1 : Fractions And Percentage

Example Question #462 : Arithmetic

Example Question #2 : Fractions And Percentage

Example Question #21 : Percentage

Example Question #21 : Percentage

Example Question #21 : Percentage

All SAT Math Resources

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