QuestionConvert between fractions, decimals, and percents for $\frac{1}{3}$ , $\frac{2}{3}$ , $\frac{2}{5}$ , and $0.75$ .

Studdy Solution

STEP 1

Assumptions1. We are converting between fractions, decimals, and percentages. . The conversion from fractions to decimals involves dividing the numerator by the denominator.
3. The conversion from fractions to percentages involves multiplying the fraction by100.
4. The conversion from decimals to fractions involves expressing the decimal as a fraction over1 and simplifying.
5. The conversion from decimals to percentages involves multiplying the decimal by100.
6. The conversion from percentages to fractions involves expressing the percentage as a fraction over100 and simplifying.
7. The conversion from percentages to decimals involves dividing the percentage by100.

STEP 2

First, let's convert the fraction $\frac{1}{}$ to a decimal. This involves dividing the numerator by the denominator.
$\frac{1}{} =1 \div$

STEP 3

Calculate the decimal value of the fraction $\frac{1}{3}$ .
$\frac{1}{3} =0.333...$

STEP 4

Now, let's convert the fraction $\frac{1}{3}$ to a percentage. This involves multiplying the fraction by100.
$\frac{1}{3} \times100\%$

STEP 5

Calculate the percentage value of the fraction $\frac{1}{3}$ .
$\frac{1}{3} \times100\% =33.33\%$

STEP 6

Now, let's convert the decimal0.2 to a fraction. This involves expressing the decimal as a fraction over1 and simplifying.
$0.2 = \frac{2}{10}$

STEP 7

implify the fraction $\frac{2}{10}$ .
$\frac{2}{10} = \frac{1}{5}$

STEP 8

Now, let's convert the decimal0.2 to a percentage. This involves multiplying the decimal by100.
$0.2 \times100\%$

STEP 9

Calculate the percentage value of the decimal.2.
$.2 \times100\% =20\%$

STEP 10

Now, let's convert the percentage $50\%$ to a fraction. This involves expressing the percentage as a fraction over100 and simplifying.
$50\% = \frac{50}{100}$

STEP 11

implify the fraction $\frac{50}{100}$ .
$\frac{50}{100} = \frac{}{}$

STEP 12

Now, let's convert the percentage $50\%$ to a decimal. This involves dividing the percentage by100.
$50\% =50 \div100$

STEP 13

Calculate the decimal value of the percentage $50\%$ .
$50\% =0.5$ The completed table is\begin{tabular}{|c|c|c|c|c|c|c|c|} \hline FRACTION & $\frac{}{3}$ & $\frac{}{5}$ & $\frac{}{2}$ & $\frac{2}{3}$ & & & $\frac{2}{5}$ \\ \hline DECIMAL & $0.333...$ & $0.2$ & $0.5$ & & $0.75$ & & \\ \hline PERCENT & $33.33\%$ & $20\%$ & $50\%$ & & & $12.5\%$ & \\ \hline\end{tabular}

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QuestionConvert between fractions, decimals, and percents for $\frac{1}{3}$ , $\frac{2}{3}$ , $\frac{2}{5}$ , and $0.75$ .

Studdy Solution

STEP 1

STEP 2

First, let's convert the fraction $\frac{1}{}$ to a decimal. This involves dividing the numerator by the denominator.
$\frac{1}{} =1 \div$

STEP 3

Calculate the decimal value of the fraction $\frac{1}{3}$ .
$\frac{1}{3} =0.333...$

STEP 4

Now, let's convert the fraction $\frac{1}{3}$ to a percentage. This involves multiplying the fraction by100.
$\frac{1}{3} \times100\%$

STEP 5

Calculate the percentage value of the fraction $\frac{1}{3}$ .
$\frac{1}{3} \times100\% =33.33\%$

STEP 6

Now, let's convert the decimal0.2 to a fraction. This involves expressing the decimal as a fraction over1 and simplifying.
$0.2 = \frac{2}{10}$

STEP 7

implify the fraction $\frac{2}{10}$ .
$\frac{2}{10} = \frac{1}{5}$

STEP 8

Now, let's convert the decimal0.2 to a percentage. This involves multiplying the decimal by100.
$0.2 \times100\%$

STEP 9

Calculate the percentage value of the decimal.2.
$.2 \times100\% =20\%$

STEP 10

Now, let's convert the percentage $50\%$ to a fraction. This involves expressing the percentage as a fraction over100 and simplifying.
$50\% = \frac{50}{100}$

STEP 11

implify the fraction $\frac{50}{100}$ .
$\frac{50}{100} = \frac{}{}$

STEP 12

Now, let's convert the percentage $50\%$ to a decimal. This involves dividing the percentage by100.
$50\% =50 \div100$

STEP 13

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QuestionConvert between fractions, decimals, and percents for 13\frac{1}{3}31​, 23\frac{2}{3}32​, 25\frac{2}{5}52​, and 0.750.750.75.

Studdy Solution

STEP 1

STEP 2

First, let's convert the fraction 1\frac{1}{}1​ to a decimal. This involves dividing the numerator by the denominator.1=1÷\frac{1}{} =1 \div1​=1÷

STEP 3

Calculate the decimal value of the fraction 13\frac{1}{3}31​.13=0.333...\frac{1}{3} =0.333...31​=0.333...

STEP 4

Now, let's convert the fraction 13\frac{1}{3}31​ to a percentage. This involves multiplying the fraction by100.13×100%\frac{1}{3} \times100\%31​×100%

STEP 5

Calculate the percentage value of the fraction 13\frac{1}{3}31​.13×100%=33.33%\frac{1}{3} \times100\% =33.33\%31​×100%=33.33%

STEP 6

Now, let's convert the decimal0.2 to a fraction. This involves expressing the decimal as a fraction over1 and simplifying.0.2=2100.2 = \frac{2}{10}0.2=102​

STEP 7

implify the fraction 210\frac{2}{10}102​.210=15\frac{2}{10} = \frac{1}{5}102​=51​

STEP 8

Now, let's convert the decimal0.2 to a percentage. This involves multiplying the decimal by100.0.2×100%0.2 \times100\%0.2×100%

STEP 9

Calculate the percentage value of the decimal.2..2×100%=20%.2 \times100\% =20\%.2×100%=20%

STEP 10

Now, let's convert the percentage 50%50\%50% to a fraction. This involves expressing the percentage as a fraction over100 and simplifying.50%=5010050\% = \frac{50}{100}50%=10050​

STEP 11

implify the fraction 50100\frac{50}{100}10050​.50100=\frac{50}{100} = \frac{}{}10050​=​

STEP 12

Now, let's convert the percentage 50%50\%50% to a decimal. This involves dividing the percentage by100.50%=50÷10050\% =50 \div10050%=50÷100

STEP 13

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QuestionConvert between fractions, decimals, and percents for $\frac{1}{3}$ , $\frac{2}{3}$ , $\frac{2}{5}$ , and $0.75$ .

First, let's convert the fraction $\frac{1}{}$ to a decimal. This involves dividing the numerator by the denominator.
$\frac{1}{} =1 \div$

Calculate the decimal value of the fraction $\frac{1}{3}$ .
$\frac{1}{3} =0.333...$

Now, let's convert the fraction $\frac{1}{3}$ to a percentage. This involves multiplying the fraction by100.
$\frac{1}{3} \times100\%$

Calculate the percentage value of the fraction $\frac{1}{3}$ .
$\frac{1}{3} \times100\% =33.33\%$

Now, let's convert the decimal0.2 to a fraction. This involves expressing the decimal as a fraction over1 and simplifying.
$0.2 = \frac{2}{10}$

implify the fraction $\frac{2}{10}$ .
$\frac{2}{10} = \frac{1}{5}$

Now, let's convert the decimal0.2 to a percentage. This involves multiplying the decimal by100.
$0.2 \times100\%$

Calculate the percentage value of the decimal.2.
$.2 \times100\% =20\%$

Now, let's convert the percentage $50\%$ to a fraction. This involves expressing the percentage as a fraction over100 and simplifying.
$50\% = \frac{50}{100}$

implify the fraction $\frac{50}{100}$ .
$\frac{50}{100} = \frac{}{}$

Now, let's convert the percentage $50\%$ to a decimal. This involves dividing the percentage by100.
$50\% =50 \div100$