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Basic Arithmetic : Changing a Fraction to Percent

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Example Questions

Example Question #32 : Percents And Decimals

If students out of a class of are wearing blue, what percentage of the class is NOT wearing blue?

Possible Answers:

$80\%$

$75\%$

$25\%$

$90\%$

$60\%$

Correct answer:

$75\%$

Explanation:

If of the students are wearing blue then that means of them are not wearing blue. Because,

24-6=18

Now to find the percentage we divide the number of students not wearing blue, by the total number of students in the class and then multiply by 100 .

Thus,

$\frac{18}{24} \times 100= 0.75 \times 100 = 75\%$

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Example Question #33 : Percents And Decimals

Convert $\frac{1}{5}$ to a percentage.

Possible Answers:

$20\%$

$15\%$

$80\%$

$5\%$

$25\%$

Correct answer:

$20\%$

Explanation:

The correct answer is 20%. This can be obtained by first converting the fraction $\frac{1}{5}$ to a decimal and then multiplying by 100 to get a percentage.

$1\div5 = 0.20\ast100 = 20\%$

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Example Question #3 : Changing A Fraction To Percent

Change $\frac{5}{6}$ to a percent.

Possible Answers:

$0.8333\%$

$83.33\%$

$8.333\%$

$833.3\%$

Correct answer:

$83.33\%$

Explanation:

To convert a fraction into a percent, we need to first change the fraction into a decimal.

$\frac{5}{6}=0.8333$

Now, change the decimal into a percent by multiplying by 100 and adding a percent sign.

$0.8333\times100=83.33$

Add a percent sign

$83.33\rightarrow83.33\%$

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Example Question #1 : Changing A Fraction To Percent

What is $\frac{12}{13}$ as a percent?

Possible Answers:

$92.3\%$

$923\%$

$0.923\%$

$9.23\%$

Correct answer:

$92.3\%$

Explanation:

To change a fraction into a percent, you need to first change the fraction into a decimal.

Dividing 12 by 13 gives the following:

$\frac{12}{13}=12\div13=0.923$

Now, to change the decimal to a percent, start by multiplying the decimal by 100.

$0.923\times100=92.3$

Then, just add a percent sign.

$92.3\rightarrow92.3\%$

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Example Question #2 : Changing A Fraction To Percent

What is $1\%$ of ?

Possible Answers:

$\frac{1}{50}$

$\frac{1}{5}$

$\frac{1}{4}$

$\frac{1}{2}$

$\frac{1}{200}$

Correct answer:

$\frac{1}{50}$

Explanation:

Convert 1% to a fraction by dividing 100. One percent is equivalent to:

$\frac{1}{100}$

Multiply this with two, and the answer is:

$\frac{1}{100}\cdot2=\frac{2}{100}=\frac{1}{50}$

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Example Question #3 : Changing A Fraction To Percent

Convert $\frac{12}{20}$ to a percent.

Possible Answers:

$12\%$

$60\%$

$50\%$

$20\%$

$24\%$

Correct answer:

$60\%$

Explanation:

A percentage can be written as a fraction with any positive whole number in the numerator and 100 in the denominator. To write the fraction as a percent, begin by writing both as fractions:

$\frac{12}{20} = \frac{x}{100}$

Cross-multiply to find the missing whole number.

$12 \times 100= 1200$

$20 \times x = 20x$

Divide the known value by the unknown to solve for x.

$\frac{1200}{20}= x$

60=x

is percent of , so the answer is $60\%$ .

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Basic Arithmetic : Changing a Fraction to Percent

Study concepts, example questions & explanations for Basic Arithmetic

All Basic Arithmetic Resources

Example Questions

Example Question #32 : Percents And Decimals

Example Question #33 : Percents And Decimals

Example Question #3 : Changing A Fraction To Percent

Example Question #1 : Changing A Fraction To Percent

Example Question #2 : Changing A Fraction To Percent

Example Question #3 : Changing A Fraction To Percent

All Basic Arithmetic Resources

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