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Basic Arithmetic : Percents and Decimals

Study concepts, example questions & explanations for Basic Arithmetic

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Example Questions

Example Question #13 : Changing View

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

Possible Answers:

$0.8333\%$ $\displaystyle 0.8333\%$

$8.333\%$ $\displaystyle 8.333\%$

$83.33\%$ $\displaystyle 83.33\%$

$833.3\%$ $\displaystyle 833.3\%$

Correct answer:

$83.33\%$ $\displaystyle 83.33\%$

Explanation:

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

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

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

$0.8333\times100=83.33$ $\displaystyle 0.8333\times100=83.33$

Add a percent sign

$83.33\rightarrow83.33\%$ $\displaystyle 83.33\rightarrow83.33\%$

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Example Question #41 : Percents And Decimals

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

Possible Answers:

$92.3\%$ $\displaystyle 92.3\%$

$9.23\%$ $\displaystyle 9.23\%$

$923\%$ $\displaystyle 923\%$

$0.923\%$ $\displaystyle 0.923\%$

Correct answer:

$92.3\%$ $\displaystyle 92.3\%$

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:

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

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

$0.923\times100=92.3$ $\displaystyle 0.923\times100=92.3$

Then, just add a percent sign.

$92.3\rightarrow92.3\%$ $\displaystyle 92.3\rightarrow92.3\%$

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Example Question #2 : Changing A Fraction To Percent

What is $1\%$ $\displaystyle 1\%$ of $\displaystyle 2$ ?

Possible Answers:

$\frac{1}{200}$ $\displaystyle \frac{1}{200}$

$\frac{1}{50}$ $\displaystyle \frac{1}{50}$

$\frac{1}{4}$ $\displaystyle \frac{1}{4}$

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

$\frac{1}{5}$ $\displaystyle \frac{1}{5}$

Correct answer:

$\frac{1}{50}$ $\displaystyle \frac{1}{50}$

Explanation:

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

$\frac{1}{100}$ $\displaystyle \frac{1}{100}$

Multiply this with two, and the answer is:

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

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Example Question #6 : Changing A Fraction To Percent

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

Possible Answers:

$50\%$ $\displaystyle 50\%$

$12\%$ $\displaystyle 12\%$

$60\%$ $\displaystyle 60\%$

$24\%$ $\displaystyle 24\%$

$20\%$ $\displaystyle 20\%$

Correct answer:

$60\%$ $\displaystyle 60\%$

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:

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

Cross-multiply to find the missing whole number.

$12 \times 100= 1200$ $\displaystyle 12 \times 100= 1200$

$20 \times x = 20x$ $\displaystyle 20 \times x = 20x$

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

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

60=x $\displaystyle 60=x$

$\displaystyle 12$ is $\displaystyle 60$ percent of $\displaystyle 20$ , so the answer is $60\%$ $\displaystyle 60\%$ .

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Basic Arithmetic : Percents and Decimals

Study concepts, example questions & explanations for Basic Arithmetic

All Basic Arithmetic Resources

Example Questions

Example Question #13 : Changing View

Example Question #41 : Percents And Decimals

Example Question #2 : Changing A Fraction To Percent

Example Question #6 : Changing A Fraction To Percent

All Basic Arithmetic Resources

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