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f. \( \quad 66 \frac{2}{3} \% \) of 60 kg

Ask by Ramos Maxwell. in Nepal
Mar 10,2025

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Answer

\(66 \frac{2}{3}\%\) of 60 kg is 40 kg.

Solution

1. Express \(66 \frac{2}{3}\%\) as an improper fraction: \[ 66 \frac{2}{3}\% = \left(66 + \frac{2}{3}\right)\% = \frac{200}{3}\% \] 2. Convert the percentage to a decimal (or fraction) by dividing by \(100\): \[ \frac{200}{3}\% = \frac{200}{3} \times \frac{1}{100} = \frac{200}{300} = \frac{2}{3} \] 3. Multiply \(\frac{2}{3}\) by \(60\) kg to find the result: \[ \frac{2}{3} \times 60 = 40 \text{ kg} \] Thus, \(66 \frac{2}{3}\%\) of \(60\) kg is \(40\) kg.

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To find \( 66 \frac{2}{3} \% \) of 60 kg, first convert the mixed number percentage into an improper fraction. \( 66 \frac{2}{3} \% \) is the same as \( \frac{200}{3} \% \) or \( \frac{200}{3} \times \frac{1}{100} \) as decimal. Now, calculate: \[ \frac{200}{3} \times \frac{1}{100} \times 60 = \frac{200 \times 60}{3 \times 100} = \frac{12000}{300} = 40 \text{ kg} \] So, \( 66 \frac{2}{3} \% \) of 60 kg is 40 kg! Isn't it fascinating how percentages translate into real quantities? Engaging with concepts like these can really sharpen your mathematical intuition in real-life situations! If you enjoy working with fractions and percentages, consider exploring how they apply in financial literacy, such as calculating discounts or interests. Understanding these can save you money and help you manage your finances better, making math not just a school subject, but a life skill!

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