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### Fraction: [tex]\(\frac{4}{9}\)[/tex]
1. Decimal to One Place:
- The decimal approximation of [tex]\(\frac{4}{9}\)[/tex] rounded to one decimal place is 0.4.
2. Decimal to Two Places:
- The decimal approximation of [tex]\(\frac{4}{9}\)[/tex] rounded to two decimal places is 0.44.
3. Decimal to Three Places:
- The decimal approximation of [tex]\(\frac{4}{9}\)[/tex] rounded to three decimal places is 0.444.
### Fraction: [tex]\(\frac{4}{13}\)[/tex]
1. Decimal to One Place:
- The decimal approximation of [tex]\(\frac{4}{13}\)[/tex] rounded to one decimal place is 0.3.
2. Decimal to Two Places:
- The decimal approximation of [tex]\(\frac{4}{13}\)[/tex] rounded to two decimal places is 0.31.
3. Decimal to Three Places:
- The decimal approximation of [tex]\(\frac{4}{13}\)[/tex] rounded to three decimal places is 0.308.
### Fraction: [tex]\(\frac{7}{24}\)[/tex]
1. Decimal to One Place:
- The decimal approximation of [tex]\(\frac{7}{24}\)[/tex] rounded to one decimal place is 0.3.
2. Decimal to Two Places:
- The decimal approximation of [tex]\(\frac{7}{24}\)[/tex] rounded to two decimal places is 0.29.
3. Decimal to Three Places:
- The decimal approximation of [tex]\(\frac{7}{24}\)[/tex] rounded to three decimal places is 0.292.
### Final Table
[tex]\[ \begin{tabular}{|c|c|c|c|} \hline \multicolumn{4}{|c|}{ Write the Approximating Fractions with Repeating Decimals } \\ \hline \multicolumn{4}{|c|}{\begin{tabular}{l} Write the fractions using decimal approximations. \\ The example in the first row will guide you on how to enter your answers. \end{tabular}} \\ \hline Fraction & \begin{tabular}{l} Decimal to One Place \\ Value \end{tabular} & \begin{tabular}{l} Decimal to Two Place \\ Values \end{tabular} & \begin{tabular}{l} Decimal to Three Place \\ Values \end{tabular} \\ \hline \begin{tabular}{l} $\frac{1}{3}$ \end{tabular} & 0.3 & 0.33 & 0.333 \\ \hline \begin{tabular}{l} $\frac{4}{9}$ \end{tabular} & 0.4 & 0.44 & 0.444 \\ \hline \begin{tabular}{l} $\frac{4}{13}$ \end{tabular} & 0.3 & 0.31 & 0.308 \\ \hline \begin{tabular}{l} $\frac{7}{24}$ \end{tabular} & 0.3 & 0.29 & 0.292 \\ \hline \end{tabular} \][/tex]
This table provides the decimal approximations of the given fractions to one, two, and three decimal places.
### Fraction: [tex]\(\frac{4}{9}\)[/tex]
1. Decimal to One Place:
- The decimal approximation of [tex]\(\frac{4}{9}\)[/tex] rounded to one decimal place is 0.4.
2. Decimal to Two Places:
- The decimal approximation of [tex]\(\frac{4}{9}\)[/tex] rounded to two decimal places is 0.44.
3. Decimal to Three Places:
- The decimal approximation of [tex]\(\frac{4}{9}\)[/tex] rounded to three decimal places is 0.444.
### Fraction: [tex]\(\frac{4}{13}\)[/tex]
1. Decimal to One Place:
- The decimal approximation of [tex]\(\frac{4}{13}\)[/tex] rounded to one decimal place is 0.3.
2. Decimal to Two Places:
- The decimal approximation of [tex]\(\frac{4}{13}\)[/tex] rounded to two decimal places is 0.31.
3. Decimal to Three Places:
- The decimal approximation of [tex]\(\frac{4}{13}\)[/tex] rounded to three decimal places is 0.308.
### Fraction: [tex]\(\frac{7}{24}\)[/tex]
1. Decimal to One Place:
- The decimal approximation of [tex]\(\frac{7}{24}\)[/tex] rounded to one decimal place is 0.3.
2. Decimal to Two Places:
- The decimal approximation of [tex]\(\frac{7}{24}\)[/tex] rounded to two decimal places is 0.29.
3. Decimal to Three Places:
- The decimal approximation of [tex]\(\frac{7}{24}\)[/tex] rounded to three decimal places is 0.292.
### Final Table
[tex]\[ \begin{tabular}{|c|c|c|c|} \hline \multicolumn{4}{|c|}{ Write the Approximating Fractions with Repeating Decimals } \\ \hline \multicolumn{4}{|c|}{\begin{tabular}{l} Write the fractions using decimal approximations. \\ The example in the first row will guide you on how to enter your answers. \end{tabular}} \\ \hline Fraction & \begin{tabular}{l} Decimal to One Place \\ Value \end{tabular} & \begin{tabular}{l} Decimal to Two Place \\ Values \end{tabular} & \begin{tabular}{l} Decimal to Three Place \\ Values \end{tabular} \\ \hline \begin{tabular}{l} $\frac{1}{3}$ \end{tabular} & 0.3 & 0.33 & 0.333 \\ \hline \begin{tabular}{l} $\frac{4}{9}$ \end{tabular} & 0.4 & 0.44 & 0.444 \\ \hline \begin{tabular}{l} $\frac{4}{13}$ \end{tabular} & 0.3 & 0.31 & 0.308 \\ \hline \begin{tabular}{l} $\frac{7}{24}$ \end{tabular} & 0.3 & 0.29 & 0.292 \\ \hline \end{tabular} \][/tex]
This table provides the decimal approximations of the given fractions to one, two, and three decimal places.
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