\begin{tabular}{l} Convert 0.0855 to a fraction. Move numbers to the blanks to complete the fraction. \\ \hline \( 10 \% \)\end{tabular}
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The Deep Dive
To convert 0.0855 to a fraction, you can express it as \(\frac{855}{10000}\). This is achieved by recognizing that 0.0855 has four decimal places, which means the denominator is \(10^4 = 10000\). Now, simplify \(\frac{855}{10000}\). Both the numerator and the denominator can be divided by 5, giving you \(\frac{171}{2000}\). To complete the fraction using \(10\%\), recall that \(10\% = \frac{10}{100} = \frac{1}{10}\). This means that \(0.0855\) represents \(8.55\%\) of some whole, particularly in scenarios involving percentage calculations. Understanding this can assist in real-world applications, like budgeting or financial planning, making it easier to grasp proportions when dealing with percentages.