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Home » 5 8 as a Decimal? This Surprising Conversion Will Shock You! - Baxtercollege

5 8 as a Decimal? This Surprising Conversion Will Shock You! - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 This is a telescoping series. Write out the terms:

📌 rac{1}{2} \left[ \left( rac{1}{1} - rac{1}{3}

📌 ight) + \left( rac{1}{2} - rac{1}{4}

📌 ight) + \left( rac{1}{3} - rac{1}{5}

📌 ight) + \cdots + \left( rac{1}{50} - rac{1}{52}

📌 Most terms cancel. The positive terms that do not cancel are $ rac{1}{1}, rac{1}{2} $.

📌 The negative terms that do not cancel are $ -rac{1}{51}, -rac{1}{52} $.

📌 So the sum becomes:

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