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$Write each decimal as a fraction. Decimal Fraction 0. bar(75) 圈 ∣ 0. bar(3) Batt Battery Conside Séarch$

Write each decimal as a fraction. $\newline$ \begin{tabular}{|c|ll|} $\newline$ \hline Decimal & \multicolumn{ $2$ }{|c|}{ Fraction } \\ $\newline$ \hline $0 . \overline{75}$ & 圈 & $\mid$ \\ $\newline$ \hline $0 . \overline{3}$ & \\ $\newline$ \hline $\newline$ \end{tabular} $\newline$ Batt $\newline$ Battery $\newline$ Conside $\newline$ Séarch

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Estimate products of mixed numbers

Full solution

Q. Write each decimal as a fraction.

\newline

\begin{tabular}{|c|ll|}

\newline

\hline Decimal & \multicolumn{

2

}{|c|}{ Fraction } \\

\newline

\hline

0 . \overline{75}

& 圈 &

\mid

\\

\newline

\hline

0 . \overline{3}

& \\

\newline

\hline

\newline

\end{tabular}

\newline

Batt

\newline

Battery

\newline

Conside

\newline

Séarch

Assign Variable $x$ : To convert $0.\overline{75}$ to a fraction, let $x = 0.\overline{75}$ . This means that the $75$ repeats indefinitely.
Eliminate Repeating Decimal: To get rid of the repeating decimal, multiply $x$ by $100$ , because there are two digits in $75$ . So, $100x = 75.\overline{75}$ .

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