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\begin{tabular}{l} What is \( 5.23 \% \) of 61.15 ? \\ \begin{tabular}{|ll}\hline 1,200 \\ \hline 300 \\ \hline & 120 \\ \hline 30 \\ \hline 12 \\ \hline & 3 \\ \hline\end{tabular} \\ \hline\end{tabular}

Ask by Stewart Sherman. in the United States
Jan 24,2025

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Answer

\( 5.23\% \) of \( 61.15 \) is approximately \( 3.20 \).

Solution

Calculate the value by following steps: - step0: Calculate: \(\frac{5.23}{100}\times 61.15\) - step1: Divide the terms: \(\frac{523}{10000}\times 61.15\) - step2: Convert the expressions: \(\frac{523}{10000}\times \frac{1223}{20}\) - step3: Multiply the numbers: \(\frac{639629}{200000}\) To find \( 5.23\% \) of \( 61.15 \), we can follow these steps: 1. Convert the percentage to a decimal by dividing by 100: \[ 5.23\% = \frac{5.23}{100} = 0.0523 \] 2. Multiply this decimal by \( 61.15 \): \[ 0.0523 \times 61.15 \] Calculating this gives us: \[ 5.23\% \text{ of } 61.15 = 3.198145 \] Thus, \( 5.23\% \) of \( 61.15 \) is approximately \( 3.20 \).

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To find \( 5.23 \% \) of \( 61.15 \), you can first convert the percentage to a decimal by dividing by 100. That means \( 5.23 \% = 0.0523 \). Now, multiply this decimal by \( 61.15 \): \[ 0.0523 \times 61.15 \approx 3.198845 \] So, \( 5.23 \% \) of \( 61.15 \) is approximately \( 3.20 \). When dealing with percentages, common mistakes include forgetting to convert the percentage to a decimal or miscalculating the multiplication. A quick tip to avoid confusion is to always double-check your decimals. Furthermore, estimating the result before calculating can help you catch any potential errors along the way.

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