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Basic Arithmetic : Basic Arithmetic

Study concepts, example questions & explanations for Basic Arithmetic

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Example Questions

Example Question #5 : Changing A Percent To A Decimal

One out of the three shirts I own is red. What percent of my shirts are not red? Round your final answer to the nearest tenth.

Possible Answers:

$66.7\%$

$33.3\%$

$60\%$

$66.67\%$

$66\%$

Correct answer:

$66.7\%$

Explanation:

The question is in regards to the amount of non-red shirts. If one of the three shirts is red, then two are not red. We represent this as a fraction:

$\frac{2}{3}$

In order to convert it into a percent, we carry out the division and multiply the result by 100:

$\frac{2}{3}=.66\bar{6}$

$.66\bar{6}\times 100=66.6\bar{6}$

We want to round to the nearest tenth, which is the number directly to the right of the decimal point. The number in the next spot over, the hundredths place, is six, so we round the tenths spot up to seven. This gives us a final answer of 66.7%.

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Example Question #2 : Changing A Percent To A Decimal

What is $\small 49.32\%$ expressed as a decimal?

Possible Answers:

$\small 4392$

$\small 4.932$

$\small 49.32$

$\small 0.4932$

$\small 0.04932$

Correct answer:

$\small 0.4932$

Explanation:

Percentages are numbers represented as parts of $\small 100$ . $\small \small 49.32\%$ therefore means $\small 49.32$ parts of $\small 100$ . To get the corresponding decimal, we need to divide by $\small 100$ (which can be done by moving the decimal point two places to the left) and remove the percentage sign. Thus we obtain:

$\small 49.32\%\Rightarrow0.4932$

Our final answer is $\small 0.4932$ .

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Example Question #1 : Changing A Fraction To Percent

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

Possible Answers:

$25\%$

$60\%$

$80\%$

$75\%$

$90\%$

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 #2 : Changing A Fraction To Percent

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

Possible Answers:

$20\%$

$80\%$

$5\%$

$25\%$

$15\%$

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:

$83.33\%$

$0.8333\%$

$8.333\%$

$833.3\%$

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 #41 : Percents And Decimals

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

Possible Answers:

$9.23\%$

$923\%$

$0.923\%$

$92.3\%$

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 #4 : Changing A Fraction To Percent

What is $1\%$ of ?

Possible Answers:

$\frac{1}{200}$

$\frac{1}{50}$

$\frac{1}{5}$

$\frac{1}{2}$

$\frac{1}{4}$

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 #5 : Changing A Fraction To Percent

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

Possible Answers:

$50\%$

$12\%$

$24\%$

$60\%$

$20\%$

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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Example Question #1 : Operations In Expressions

Solve:

$12\div(1+3)-9\times 6=?$

Possible Answers:

0.24

14.4

Correct answer:

Explanation:

Use the order of operations: PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).

We want to solve what's in the parentheses first.

$12\div(1+3)-9\times 6$

$12\div(4)-9\times 6$

Now, do the division and the multiplication.

$12\div 4=3$

$9 \times 6=54$

Therefore our equation becomes:

3-54

Finally, subtract.

3-54=-51

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Example Question #1 : Order Of Operations And Pemdas

Solve:

$36+10\times0.5-18\div6=?$

Possible Answers:

$\frac{23}{6}$

$\frac{5}{6}$

Correct answer:

Explanation:

Use order of operations, PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) to solve.

Since there are no parentheses or exponents we can go straight to multiplication and division.

$10 \times 0.5=5$ and $18 \div 6=3$

Therefore the following happens:

$36+10\times0.5-18\div6=36+5-3$

Then add and subtract.

36+5-3=38

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Basic Arithmetic : Basic Arithmetic

Study concepts, example questions & explanations for Basic Arithmetic

All Basic Arithmetic Resources

Example Questions

Example Question #5 : Changing A Percent To A Decimal

Example Question #2 : Changing A Percent To A Decimal

Example Question #1 : Changing A Fraction To Percent

Example Question #2 : Changing A Fraction To Percent

Example Question #3 : Changing A Fraction To Percent

Example Question #41 : Percents And Decimals

Example Question #4 : Changing A Fraction To Percent

Example Question #5 : Changing A Fraction To Percent

Example Question #1 : Operations In Expressions

Example Question #1 : Order Of Operations And Pemdas

All Basic Arithmetic Resources

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