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5. Use a calculator to convert these fractions to a percentage. Round off your answer to the nearest whole number. \( \begin{array}{lllll}\text { a. } \frac{13}{17} & \text { b. } \frac{16}{47} & \text { c. } \frac{12}{89} & \text { d. } \frac{19}{57} & \text { e. } \frac{23}{51}\end{array} \)

Ask by Willis Wilson. in South Africa
Mar 05,2025

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Answer

Here are the percentages: a. 76% b. 34% c. 13% d. 33% e. 45%

Solution

Calculate the value by following steps: - step0: Calculate: \(\frac{23}{51}\times 100\) - step1: Multiply: \(\frac{23\times 100}{51}\) - step2: Multiply: \(\frac{2300}{51}\) Calculate or simplify the expression \( (12/89)*100 \). Calculate the value by following steps: - step0: Calculate: \(\frac{12}{89}\times 100\) - step1: Multiply: \(\frac{12\times 100}{89}\) - step2: Multiply: \(\frac{1200}{89}\) Calculate or simplify the expression \( (16/47)*100 \). Calculate the value by following steps: - step0: Calculate: \(\frac{16}{47}\times 100\) - step1: Multiply: \(\frac{16\times 100}{47}\) - step2: Multiply: \(\frac{1600}{47}\) Calculate or simplify the expression \( (19/57)*100 \). Calculate the value by following steps: - step0: Calculate: \(\left(\frac{19}{57}\right)\times 100\) - step1: Reduce the fraction: \(\frac{1}{3}\times 100\) - step2: Multiply: \(\frac{100}{3}\) Calculate or simplify the expression \( (13/17)*100 \). Calculate the value by following steps: - step0: Calculate: \(\frac{13}{17}\times 100\) - step1: Multiply: \(\frac{13\times 100}{17}\) - step2: Multiply: \(\frac{1300}{17}\) Round the number \( 34.04255319148936 \) into whole number. Round the number by following steps: - step0: Round the number to the nearest whole number: \(34.04255319148936\) - step1: Round the number to the nearest whole number: \(34\) Round the number \( 13.481012658227848 \) into whole number. Round the number by following steps: - step0: Round the number to the nearest whole number: \(13.481012658227848\) - step1: Round the number to the nearest whole number: \(13\) Round the number \( 45.098039215686274 \) into whole number. Round the number by following steps: - step0: Round the number to the nearest whole number: \(45.098039215686274\) - step1: Round the number to the nearest whole number: \(45\) Round the number \( 33.33333333333333 \) into whole number. Round the number by following steps: - step0: Round the number to the nearest whole number: \(33.33333333333333\) - step1: Round the number to the nearest whole number: \(33\) Round the number \( 76.47058823529412 \) into whole number. Round the number by following steps: - step0: Round the number to the nearest whole number: \(76.47058823529412\) - step1: Round the number to the nearest whole number: \(76\) Here are the conversions of the given fractions to percentages, rounded to the nearest whole number: a. \( \frac{13}{17} \) = 76% b. \( \frac{16}{47} \) = 34% c. \( \frac{12}{89} \) = 13% d. \( \frac{19}{57} \) = 33% e. \( \frac{23}{51} \) = 45%

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The Deep Dive

To convert fractions to percentages, you simply divide the numerator by the denominator and then multiply the result by 100. Here’s how it works for each fraction: a. \( \frac{13}{17} \approx 76\% \) b. \( \frac{16}{47} \approx 34\% \) c. \( \frac{12}{89} \approx 13\% \) d. \( \frac{19}{57} \approx 33\% \) e. \( \frac{23}{51} \approx 45\% \) Now you have your rounded percentages! Keep practicing to become a fraction-to-percentage pro! For an engaging tip: Visualize fractions with a pie chart or bar graph! Seeing pieces of a whole can make understanding percentages much more fun. Also, a common mistake is forgetting to multiply by 100 after division, so make a checklist if you have multiple fractions to convert!

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